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You searched for +publisher:"Texas Tech University" +contributor:("Hoang, Luan"). Showing records 1 – 3 of 3 total matches.

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1. Bloshanskaya, Lidia. Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs.

Degree: PhD, Mathematics, 2013, Texas Tech University

Porous media (rocks, soils, aquifers, oil and gas reservoirs) plays an essential role in our modern environment. The pores of such material are usually filled with fluid, liquid or gas, and the flow of the fluids through the media is a subject of common interest of many different fields of study. In the middle of 19th century, Henry Darcy experimented on water filtration through sand and he eventually formulated the famous Darcy's law which relates the pressure gradient to the velocity of the fluid linearly. This empirical law laid the foundations for the quantitative theory of fluid dynamics. However, linear law has limited range of validity. In 20th century, Forchheimer proposed his equations to account for the nonlinearity of the flow. In this thesis we generalize the Forchheimer equations and examine the properties of the corresponding parabolic partial differential equations. The developed framework is used to study the well productivity index (PI) as a functional defined on the solutions of differential equations modeling non-linear flows. Petroleum engineers use the PI to characterize the well performance to manage the well reserves. We study the long term dynamics of the PI and its dependence on the nonlinearity and geometric parameters. The obtained results can be effectively used in reservoir engineering and can be applied to other problems modeled by the nonlinear diffusive equations. Advisors/Committee Members: Aulisa, Eugenio (committee member), Hoang, Luan (committee member), Ibragimov, Akif (Committee Chair).

Subjects/Keywords: Porous media; Fractures; Nonlinear flow; Non-darcy; Forchheimer equation

Texas Tech University, Lidia Bloshanskaya, August 2013 the impact of nonlinearity on its… …t) 5 Texas Tech University, Lidia Bloshanskaya, August 2013 pressure distribution… …law au + cn (Bu, u)n−1 u = − ∇p, 6 (2.4) Texas Tech University… …ρ∇ · u − u · ∇p, dp dt dp 7 (2.9) Texas Tech University, Lidia Bloshanskaya… …form of the g-Forchheimer momentum equation (2.6): 8 Texas Tech University… 

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APA (6th Edition):

Bloshanskaya, L. (2013). Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs. (Doctoral Dissertation). Texas Tech University. Retrieved from http://hdl.handle.net/2346/58420

Chicago Manual of Style (16th Edition):

Bloshanskaya, Lidia. “Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs.” 2013. Doctoral Dissertation, Texas Tech University. Accessed August 08, 2020. http://hdl.handle.net/2346/58420.

MLA Handbook (7th Edition):

Bloshanskaya, Lidia. “Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs.” 2013. Web. 08 Aug 2020.

Vancouver:

Bloshanskaya L. Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs. [Internet] [Doctoral dissertation]. Texas Tech University; 2013. [cited 2020 Aug 08]. Available from: http://hdl.handle.net/2346/58420.

Council of Science Editors:

Bloshanskaya L. Mathematical model of well productivity index for Forchheimer flows in fractured reservoirs. [Doctoral Dissertation]. Texas Tech University; 2013. Available from: http://hdl.handle.net/2346/58420

2. Aavani, Pooya. Ordinary and delay differential equation models of viral infection with application to HIV and Hepatitis C virus.

Degree: 2012, Texas Tech University

Human adaptive immune response consists of three major types of cells, namely, CD4 T cells, CTL (Cytotoxic T Lymphocytes), and antibodies. CTL attack and kill cells that are infected by viruses. Antibodies are capable of identifying and neutralizing viruses. In the presence of virus infection, CD4 T Cells stimulate the proliferation of CTL. Also the proliferation of antibodies becomes stimulated by viruses. These ideas are used to introduce a new ordinary differential equation model for exploring the dynamics of infection. Production of viruses by infectious CD4 T cells are not instantaneous and they require time to occur. Thus, explaining the dynamics of infections more accurately in the model, it is important to consider a time gap, which is known as delay. The new delay differential equation model, which considers a delay in the production of viruses, is also analyzed in this thesis. Both models are useful to be applied for HIV and hepatitis C infections, because in these models target cells are CD4 T cells, infectious agents are viruses, and the biological implications of the mathematical results are similar to the stages of the infections. Advisors/Committee Members: Allen, Linda J. S. (Committee Chair), Allen, Edward J. (committee member), Hoang, Luan (committee member).

Subjects/Keywords: Mathematical immunology; Virus dynamics; Reproduction number; Asymptotic stability; Global stability

Texas Tech University, Pooya Aavani, August 2012 4.5 4.6 2 )/a > 1. The density… …2.8402). . . . . . . . . . . vii 42 43 Texas Tech University, Pooya Aavani, August… …The immune system is active. This 2 Texas Tech University, Pooya Aavani, August 2012… …cells become infected, and the parameter λ is the growth rate of the 3 Texas Tech University… …µf is the rate of decay of anti- 4 Texas Tech University, Pooya Aavani, August 2012… 

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

APA (6th Edition):

Aavani, P. (2012). Ordinary and delay differential equation models of viral infection with application to HIV and Hepatitis C virus. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/46950

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Aavani, Pooya. “Ordinary and delay differential equation models of viral infection with application to HIV and Hepatitis C virus.” 2012. Thesis, Texas Tech University. Accessed August 08, 2020. http://hdl.handle.net/2346/46950.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Aavani, Pooya. “Ordinary and delay differential equation models of viral infection with application to HIV and Hepatitis C virus.” 2012. Web. 08 Aug 2020.

Vancouver:

Aavani P. Ordinary and delay differential equation models of viral infection with application to HIV and Hepatitis C virus. [Internet] [Thesis]. Texas Tech University; 2012. [cited 2020 Aug 08]. Available from: http://hdl.handle.net/2346/46950.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Aavani P. Ordinary and delay differential equation models of viral infection with application to HIV and Hepatitis C virus. [Thesis]. Texas Tech University; 2012. Available from: http://hdl.handle.net/2346/46950

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

3. Gohlke, Jedidiah W. A validation study of a software implementation of the Gauge method for the incompressible Navier-stokes equations.

Degree: Mathematics and Statistics, 2011, Texas Tech University

The incompressible Navier-Stokes equations model the relationship between the velocity and pressure of a fluid and can be used to describe the motion of a fluid. Because they are nonlinear, they are in most cases difficult or impossible to solve analytically. They must, therefore, be approximated numerically. One approach developed by Alexandre Chorin is to use a projection method to approximate the pressure and velocity. We will look at Chorin’s approach and then consider a modified approach called the gauge method, which mitigates some of the boundary condition difficulties in Chorin’s approach. We will then consider an improvement to the gauge method that gives us second order convergence in the velocity in both time and space and slightly better than order 3/2 convergence in the pressure in time. We will then present a code to automate the gauge method and consider some test cases to verify that the code converges at the appropriate rate. Advisors/Committee Members: Long, Kevin (Committee Chair), Howle, Victoria E. (committee member), Kirby, Robert C. (committee member), Hoang, Luan (committee member).

Subjects/Keywords: Navier-Stokes equations; Projection method; Gauge method; Code validation

Texas Tech University, Jedidiah Wayne Gohlke, August 2011 8.8 8.9 8.10 8.11 8.12… …40 41 42 44 45 46 Texas Tech University, Jedidiah Wayne Gohlke, August 2011 8.14… …viii 47 48 49 50 51 55 56 Texas Tech University, Jedidiah Wayne Gohlke, August 2011… …case. 1 Texas Tech University, Jedidiah Wayne Gohlke, August 2011 CHAPTER 2 THE… …same number of equations as unknowns, the 2 Texas Tech University, Jedidiah Wayne Gohlke… 

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

APA (6th Edition):

Gohlke, J. W. (2011). A validation study of a software implementation of the Gauge method for the incompressible Navier-stokes equations. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/ETD-TTU-2011-08-1809

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Gohlke, Jedidiah W. “A validation study of a software implementation of the Gauge method for the incompressible Navier-stokes equations.” 2011. Thesis, Texas Tech University. Accessed August 08, 2020. http://hdl.handle.net/2346/ETD-TTU-2011-08-1809.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Gohlke, Jedidiah W. “A validation study of a software implementation of the Gauge method for the incompressible Navier-stokes equations.” 2011. Web. 08 Aug 2020.

Vancouver:

Gohlke JW. A validation study of a software implementation of the Gauge method for the incompressible Navier-stokes equations. [Internet] [Thesis]. Texas Tech University; 2011. [cited 2020 Aug 08]. Available from: http://hdl.handle.net/2346/ETD-TTU-2011-08-1809.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gohlke JW. A validation study of a software implementation of the Gauge method for the incompressible Navier-stokes equations. [Thesis]. Texas Tech University; 2011. Available from: http://hdl.handle.net/2346/ETD-TTU-2011-08-1809

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.