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You searched for subject:(Mass quantization). Showing records 1 – 2 of 2 total matches.

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1. Minu,Joy. Studies on Some Aspects of the Physics of the Early Universe Using Gravitationally Coupled Scalar Field –.

Degree: 2003, Cochin University of Science and Technology

This thesis deals with some aspects of the Physics of the early universe, like phase transitions, bubble nucleations and premodial density perturbations which lead to the formation structures in the universe. Quantum aspects of the gravitational interaction play an essential role in retical high-energy physics. The questions of the quantum gravity are naturally connected with early universe and Grand Unification Theories. In spite of numerous efforts, the various problems of quantum gravity remain still unsolved. In this condition, the consideration of different quantum gravity models is an inevitable stage to study the quantum aspects of gravitational interaction. The important role of gravitationally coupled scalar field in the physics of the early universe is discussed in this thesis. The study shows that the scalar-gravitational coupling and the scalar curvature did play a crucial role in determining the nature of phase transitions that took place in the early universe. The key idea in studying the formation structure in the universe is that of gravitational instability.

CUSAT and CSIR

Subjects/Keywords: Jeans; Mass calculations; Quantum field effects; Gravitational instability; Scalar field, ,; Bubble nucleation; Astro physics; cosmology; Field quantization

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

APA (6th Edition):

Minu,Joy. (2003). Studies on Some Aspects of the Physics of the Early Universe Using Gravitationally Coupled Scalar Field –. (Thesis). Cochin University of Science and Technology. Retrieved from http://dyuthi.cusat.ac.in/purl/8

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

Chicago Manual of Style (16th Edition):

Minu,Joy. “Studies on Some Aspects of the Physics of the Early Universe Using Gravitationally Coupled Scalar Field –.” 2003. Thesis, Cochin University of Science and Technology. Accessed March 07, 2021. http://dyuthi.cusat.ac.in/purl/8.

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

MLA Handbook (7th Edition):

Minu,Joy. “Studies on Some Aspects of the Physics of the Early Universe Using Gravitationally Coupled Scalar Field –.” 2003. Web. 07 Mar 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

Minu,Joy. Studies on Some Aspects of the Physics of the Early Universe Using Gravitationally Coupled Scalar Field –. [Internet] [Thesis]. Cochin University of Science and Technology; 2003. [cited 2021 Mar 07]. Available from: http://dyuthi.cusat.ac.in/purl/8.

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

Council of Science Editors:

Minu,Joy. Studies on Some Aspects of the Physics of the Early Universe Using Gravitationally Coupled Scalar Field –. [Thesis]. Cochin University of Science and Technology; 2003. Available from: http://dyuthi.cusat.ac.in/purl/8

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

2. Gallouët, Thomas. Transport optimal : régularité et applications : Optimal Transport : Regularity and applications.

Degree: Docteur es, Mathématiques, 2012, Lyon, École normale supérieure

Cette thèse comporte deux parties distinctes, toutes les deux liées à la théorie du transport optimal. Dans la première partie, nous considérons une variété riemannienne, deux mesures à densité régulière et un coût de transport, typiquement la distance géodésique quadratique et nous nous intéressons à la régularité de l’application de transport optimal. Le critère décisif à cette régularité s’avère être le signe du tenseur de Ma-Trudinger-Wang (MTW). Nous présentons tout d’abord une synthèse des travaux réalisés sur ce tenseur. Nous nous intéressons ensuite au lien entre la géométrie des lieux d’injectivité et le tenseur MTW. Nous montrons que dans de nombreux cas, la positivité du tenseur MTW implique la convexité des lieux d’injectivité. La deuxième partie de cette thèse est liée aux équations aux dérivées partielles. Certaines peuvent être considérées comme des flots gradients dans l’espace de Wasserstein W2. C’est le cas de l’équation de Keller-Segel en dimension 2. Pour cette équation nous nous intéressons au problème de quantification de la masse lors de l’explosion des solutions ; cette explosion apparaît lorsque la masse initiale est supérieure à un seuil critique Mc. Nous cherchons alors à montrer qu’elle consiste en la formation d’un Dirac de masse Mc. Nous considérons ici un modèle particulaire en dimension 1 ayant le même comportement que l’équation de Keller-Segel. Pour ce modèle nous exhibons des bassins d’attractions à l’intérieur desquels l’explosion se produit avec seulement le nombre critique de particules. Finalement nous nous intéressons au profil d’explosion : à l’aide d’un changement d’échelle parabolique nous montrons que la structure de l’explosion correspond aux points critiques d’une certaine fonctionnelle.

This thesis consists in two distinct parts both related to the optimal transport theory.The first part deals with the regularity of the optimal transport map. The key tool is the Ma-Trundinger-Wang tensor and especially its positivity. We first give a review of the known results about the MTW tensor. We then explore the geometrical consequences of the MTW tensor on the injectivity domain. We prove that in many cases the positivity of MTW implies the convexity of the injectivity domain. The second part is devoted to the behaviour of a Keller-Segel solution in the super critical case. In particular we are interested in the mass quantization problem: we wish to quantify the mass aggregated when the blow-up occurs. In order to study the behaviour of the solution we consider a particle approximation of a Keller-Segel type equation in dimension 1. We define this approximation using the gradient flow interpretation of the Keller-Segel equation and the particular structure of the Wasserstein space in dimension 1. We show two kinds of results; we first prove a stability theorem for the blow-up mechanism: we exhibit basins of attraction in which the solution blows up with only the critical number of particles. We then prove a rigidity theorem for the blow-up mechanism: thanks to a parabolic…

Advisors/Committee Members: Villani, Cédric (thesis director).

Subjects/Keywords: Transport optimal; Régularité; Ma-Trundinger-Wang; MTW; Coût; Variété riemannienne; Convexité; Domaine d'injectivité; Lipschitz; C-convexité; Keller-Segel; Quantification de la masse; Particules; 1D; Explosion; Wasserstein; Flot gradient; Espace métrique; Masse critique; Optimal transport; Regularity; Ma-Trundinger-Wang; MTW; Cost; Riemannian manifold; Convexity; Injectivity domain; Lipschitz continuous; C-convexity; Keller-Segel; Mass quantization; Particles; 1D; Blow-up; Wasserstein; Gradient flow; Metric space; Critical mass

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

APA (6th Edition):

Gallouët, T. (2012). Transport optimal : régularité et applications : Optimal Transport : Regularity and applications. (Doctoral Dissertation). Lyon, École normale supérieure. Retrieved from http://www.theses.fr/2012ENSL0797

Chicago Manual of Style (16th Edition):

Gallouët, Thomas. “Transport optimal : régularité et applications : Optimal Transport : Regularity and applications.” 2012. Doctoral Dissertation, Lyon, École normale supérieure. Accessed March 07, 2021. http://www.theses.fr/2012ENSL0797.

MLA Handbook (7th Edition):

Gallouët, Thomas. “Transport optimal : régularité et applications : Optimal Transport : Regularity and applications.” 2012. Web. 07 Mar 2021.

Vancouver:

Gallouët T. Transport optimal : régularité et applications : Optimal Transport : Regularity and applications. [Internet] [Doctoral dissertation]. Lyon, École normale supérieure; 2012. [cited 2021 Mar 07]. Available from: http://www.theses.fr/2012ENSL0797.

Council of Science Editors:

Gallouët T. Transport optimal : régularité et applications : Optimal Transport : Regularity and applications. [Doctoral Dissertation]. Lyon, École normale supérieure; 2012. Available from: http://www.theses.fr/2012ENSL0797

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