+publisher:"University of Southern California" +contributor:("Ziane, Mohammed")

University of Southern California

1. Reis, Ednei F. Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces.

Degree: PhD, Mathematics, 2011, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976

► We derive an asymptotic expansion for smooth solutions of the Navier-Stokes equations in weighted spaces. This result removes previous restrictions on the number of terms… (more)

Subjects/Keywords: Navier-Stokes equation; asymptotic expansion

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Reis, E. F. (2011). Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976

Chicago Manual of Style (16^th Edition):

Reis, Ednei F. “Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces.” 2011. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976.

MLA Handbook (7^th Edition):

Reis, Ednei F. “Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces.” 2011. Web. 12 Apr 2021.

Vancouver:

Reis EF. Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. [Internet] [Doctoral dissertation]. University of Southern California; 2011. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976.

Council of Science Editors:

Reis EF. Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces. [Doctoral Dissertation]. University of Southern California; 2011. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/615244/rec/976

University of Southern California

2. Choi, Na Ri. A comparative study of non-blind and blind deconvolution of ultrasound images.

Degree: MA, Applied Mathematics, 2014, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/404236/rec/120

► The issue of restoration of ultrasound images through blind deconvolution has been one of the chief problems in medical ultrasound imaging. This paper focuses on… (more)

Subjects/Keywords: ultrasound; blind image deconvolution; digital image processing; image restoration; Wiener filter; Lucy Richardson filter; maximum likelihood

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Choi, N. R. (2014). A comparative study of non-blind and blind deconvolution of ultrasound images. (Masters Thesis). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/404236/rec/120

Chicago Manual of Style (16^th Edition):

Choi, Na Ri. “A comparative study of non-blind and blind deconvolution of ultrasound images.” 2014. Masters Thesis, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/404236/rec/120.

MLA Handbook (7^th Edition):

Choi, Na Ri. “A comparative study of non-blind and blind deconvolution of ultrasound images.” 2014. Web. 12 Apr 2021.

Vancouver:

Choi NR. A comparative study of non-blind and blind deconvolution of ultrasound images. [Internet] [Masters thesis]. University of Southern California; 2014. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/404236/rec/120.

Council of Science Editors:

Choi NR. A comparative study of non-blind and blind deconvolution of ultrasound images. [Masters Thesis]. University of Southern California; 2014. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/404236/rec/120

University of Southern California

3. Pei, Yuan. Certain regularity problems in fluid dynamics.

Degree: PhD, Applied Mathematics, 2014, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275

► In the first chapter of this dissertation, we address the partial regularity for a suitable weak solutions of the Navier-Stokes system in a bounded space‐time… (more)

Subjects/Keywords: Navier-Stokes equations; weak solutions; fractal dimension; regularity; primitive equations

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pei, Y. (2014). Certain regularity problems in fluid dynamics. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275

Chicago Manual of Style (16^th Edition):

Pei, Yuan. “Certain regularity problems in fluid dynamics.” 2014. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275.

MLA Handbook (7^th Edition):

Pei, Yuan. “Certain regularity problems in fluid dynamics.” 2014. Web. 12 Apr 2021.

Vancouver:

Pei Y. Certain regularity problems in fluid dynamics. [Internet] [Doctoral dissertation]. University of Southern California; 2014. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275.

Council of Science Editors:

Pei Y. Certain regularity problems in fluid dynamics. [Doctoral Dissertation]. University of Southern California; 2014. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/432069/rec/1275

University of Southern California

4. Ignatova, Mihaela I. Quantitative unique continuation and complexity of solutions to partial differential equations.

Degree: PhD, Mathematics, 2011, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/617952/rec/5358

► In the first part of the thesis, we address the strong unique continuation properties for 1D higher order parabolic partial differential equations with coefficients in… (more)

Subjects/Keywords: Carleman estimates; Navier-Stokes equation; strong unique continuation; complexity of solutions; Gevrey class

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ignatova, M. I. (2011). Quantitative unique continuation and complexity of solutions to partial differential equations. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/617952/rec/5358

Chicago Manual of Style (16^th Edition):

Ignatova, Mihaela I. “Quantitative unique continuation and complexity of solutions to partial differential equations.” 2011. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/617952/rec/5358.

MLA Handbook (7^th Edition):

Ignatova, Mihaela I. “Quantitative unique continuation and complexity of solutions to partial differential equations.” 2011. Web. 12 Apr 2021.

Vancouver:

Ignatova MI. Quantitative unique continuation and complexity of solutions to partial differential equations. [Internet] [Doctoral dissertation]. University of Southern California; 2011. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/617952/rec/5358.

Council of Science Editors:

Ignatova MI. Quantitative unique continuation and complexity of solutions to partial differential equations. [Doctoral Dissertation]. University of Southern California; 2011. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/617952/rec/5358

University of Southern California

5. Glatt-Holtz, Nathan Edward. Well posedness and asymptotic analysis for the stochastic equations of geophysical fluid dynamics.

Degree: PhD, Applied Mathematics, 2008, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/82250/rec/7888

► This work collects three interrelated projects that develop rigorous mathematical tools for the study of the stochastically forced equations of geophysical fluid dynamics and turbulence.… (more)

▼ This work collects three interrelated projects that develop rigorous mathematical tools for the study of the stochastically forced equations of geophysical fluid dynamics and turbulence. Since the presence of persistent random fluctuations are ubiquitous in fluid flow problems, the development of new analytical techniques in this setting are ultimately of paramount practical interest in the pursuit of more accurate models.; The first two projects address the question of well posedness. One work considers the Primitive equations of the ocean. These systems are widely used in numerical studies of geophysical scale fluid flow. We consider a two dimensional model forced by multiplicative noise terms. For the case when the initial data and its vertical gradient take values in L2, we prove the global existence and uniqueness of solutions in a fixed probability space. The proof is based on finite dimensional approximations, anisotropic Sobolev estimates, and weak convergence techniques. The work concludes with a sketch of the physical derivation of the governing equations.; The second project introduces new results for the stochastic Navier-Stokes system on bounded domains in space dimensions two and three. We establish the local existence and uniqueness of pathwise solutions evolving in H1. For the two dimensional case global existence is established without employing moment estimates at fixed times. The proof relies on a pairwise comparison technique facilitated by decompositions into high and low modes to surmount the critical issue of compactness.; In the final chapter we introduce a class of singular perturbation systems in the presence of a small white noise. Modifying the renormalization group procedure developed by Chen, Goldenfeld and Oono, we derive an associated reduced system which we use to construct an approximate solution that separates scales. Rigorous results demonstrating that these approximate solutions remain valid with high probability on large time intervals are established. As a special case we infer new small noise asymptotic results for a class of processes exhibiting a physically motivated cancellation property in the nonlinear term. We next consider some concrete perturbation systems arising in geophysical fluid dynamics and in the study of turbulence. For each system we exhibit the associated renormalization group which is seen to decouple the interactions between the different scales inherent in the original system. The article concludes with a general result concerning slowly varying processes that forms the backbone of the proof of the main theorem. Appendixes collect mostly classical results on the stochastic convolution and further novel small noise asymptotic results. Advisors/Committee Members: Ziane, Mohammed (Committee Chair), Newton, Paul K. (Committee Member), Kukavica, Igor (Committee Member).

Subjects/Keywords: stochastic partial differential equations; Navier-Stokes equations; primitive equations; geophysical fluid dynamics; asymptotic analysis

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Glatt-Holtz, N. E. (2008). Well posedness and asymptotic analysis for the stochastic equations of geophysical fluid dynamics. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/82250/rec/7888

Chicago Manual of Style (16^th Edition):

Glatt-Holtz, Nathan Edward. “Well posedness and asymptotic analysis for the stochastic equations of geophysical fluid dynamics.” 2008. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/82250/rec/7888.

MLA Handbook (7^th Edition):

Glatt-Holtz, Nathan Edward. “Well posedness and asymptotic analysis for the stochastic equations of geophysical fluid dynamics.” 2008. Web. 12 Apr 2021.

Vancouver:

Glatt-Holtz NE. Well posedness and asymptotic analysis for the stochastic equations of geophysical fluid dynamics. [Internet] [Doctoral dissertation]. University of Southern California; 2008. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/82250/rec/7888.

Council of Science Editors:

Glatt-Holtz NE. Well posedness and asymptotic analysis for the stochastic equations of geophysical fluid dynamics. [Doctoral Dissertation]. University of Southern California; 2008. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/82250/rec/7888

University of Southern California

6. Mayberry, John. The effects of noise on bifurcations in circle maps with applications to integrate-and-fire models in neural biology.

Degree: PhD, Applied Mathematics, 2008, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/50285/rec/6665

► A stochastic bifurcation is generally defined as either a change in the number of stable invariant measures (dynamical or D-bifurcations) or a change in the… (more)

Subjects/Keywords: stochastic bifurcations; integrate-and-fire models; Markov chains; transition operators; first passage times; Gaussian perturbations; Ornstein-Uhlenbeck process

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mayberry, J. (2008). The effects of noise on bifurcations in circle maps with applications to integrate-and-fire models in neural biology. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/50285/rec/6665

Chicago Manual of Style (16^th Edition):

Mayberry, John. “The effects of noise on bifurcations in circle maps with applications to integrate-and-fire models in neural biology.” 2008. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/50285/rec/6665.

MLA Handbook (7^th Edition):

Mayberry, John. “The effects of noise on bifurcations in circle maps with applications to integrate-and-fire models in neural biology.” 2008. Web. 12 Apr 2021.

Vancouver:

Mayberry J. The effects of noise on bifurcations in circle maps with applications to integrate-and-fire models in neural biology. [Internet] [Doctoral dissertation]. University of Southern California; 2008. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/50285/rec/6665.

Council of Science Editors:

Mayberry J. The effects of noise on bifurcations in circle maps with applications to integrate-and-fire models in neural biology. [Doctoral Dissertation]. University of Southern California; 2008. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/50285/rec/6665

University of Southern California

7. Shokraneh, Houman. N-vortex problem on a rotating sphere.

Degree: PhD, Mechanical Engineering, 2007, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/598303/rec/4315

► The evolution, interaction, and scattering of 2N-point vortices grouped into equal and opposite pairs (N-dipoles) on a rotating unit sphere is studied. A new coordinate… (more)

Subjects/Keywords: N-vortex problem; dipole scattering; charged billiard equations

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Shokraneh, H. (2007). N-vortex problem on a rotating sphere. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/598303/rec/4315

Chicago Manual of Style (16^th Edition):

Shokraneh, Houman. “N-vortex problem on a rotating sphere.” 2007. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/598303/rec/4315.

MLA Handbook (7^th Edition):

Shokraneh, Houman. “N-vortex problem on a rotating sphere.” 2007. Web. 12 Apr 2021.

Vancouver:

Shokraneh H. N-vortex problem on a rotating sphere. [Internet] [Doctoral dissertation]. University of Southern California; 2007. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/598303/rec/4315.

Council of Science Editors:

Shokraneh H. N-vortex problem on a rotating sphere. [Doctoral Dissertation]. University of Southern California; 2007. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/598303/rec/4315

University of Southern California

8. Sakai, Takahiro. Generation and degeneration of long internal waves in lakes.

Degree: PhD, Aerospace Engineering, 2008, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/132533/rec/2988

► The nonlinear evolution, generation and degeneration of wind-driven, basin-scale internal waves in lakes are investigated employing weakly-nonlinear, weakly-dispersive evolution models. The models studied are based… (more)

Subjects/Keywords: internal waves; lake hydrodynamics; weakly nonlinear model; non-hydrostatic model; nonlinear waves; Kelvin wave; Poincare wave; earth rotation; multi-modal model; two-layer model; numerical simulation

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sakai, T. (2008). Generation and degeneration of long internal waves in lakes. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/132533/rec/2988

Chicago Manual of Style (16^th Edition):

Sakai, Takahiro. “Generation and degeneration of long internal waves in lakes.” 2008. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/132533/rec/2988.

MLA Handbook (7^th Edition):

Sakai, Takahiro. “Generation and degeneration of long internal waves in lakes.” 2008. Web. 12 Apr 2021.

Vancouver:

Sakai T. Generation and degeneration of long internal waves in lakes. [Internet] [Doctoral dissertation]. University of Southern California; 2008. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/132533/rec/2988.

Council of Science Editors:

Sakai T. Generation and degeneration of long internal waves in lakes. [Doctoral Dissertation]. University of Southern California; 2008. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/132533/rec/2988

University of Southern California

9. Vicol, Vlad Cristian. Analyticity and Gevrey-class regularity for the Euler equations.

Degree: PhD, Mathematics, 2010, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/351483/rec/821

► The Euler equations are the classical model for the motion of an incompressible inviscid homogeneous fluid. This thesis addresses geometric qualitative properties of smooth solutions… (more)

Subjects/Keywords: analyticity radius; Euler equations; Gevrey-class

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Vicol, V. C. (2010). Analyticity and Gevrey-class regularity for the Euler equations. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/351483/rec/821

Chicago Manual of Style (16^th Edition):

Vicol, Vlad Cristian. “Analyticity and Gevrey-class regularity for the Euler equations.” 2010. Doctoral Dissertation, University of Southern California. Accessed April 12, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/351483/rec/821.

MLA Handbook (7^th Edition):

Vicol, Vlad Cristian. “Analyticity and Gevrey-class regularity for the Euler equations.” 2010. Web. 12 Apr 2021.

Vancouver:

Vicol VC. Analyticity and Gevrey-class regularity for the Euler equations. [Internet] [Doctoral dissertation]. University of Southern California; 2010. [cited 2021 Apr 12]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/351483/rec/821.

Council of Science Editors:

Vicol VC. Analyticity and Gevrey-class regularity for the Euler equations. [Doctoral Dissertation]. University of Southern California; 2010. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/351483/rec/821

		in
And / Or
		in
And / Or
		in
And / Or
		in

Open Access Theses and Dissertations