Global ETD Search

11	Analýza evolučních úloh s omezeným gradientem / Analysis of evolutionary problems with bounded gradients Hruška, David January 2019 (has links) We study nonlinear evolutionary partial differential equations that can be viewed as a generalization of the heat equation where the temperature gradient is bounded but the heat flux is apriori only a measure. We consider this system in spatially periodic setting and use higher differentiability techniques to prove the existence and uniqueness of weak solution with integrable heat-flux for all values of the material parameter a. Under some more restrictive assumptions on a, we prove higher integrability of the heat flux. 1
12	Bound states for A-body nuclear systems Mukeru, Bahati 03 1900 (has links) In this work we calculate the binding energies and root-mean-square radii for A−body nuclear bound state systems, where A ≥ 3. To study three−body systems, we employ the three−dimensional differential Faddeev equations with nucleon-nucleon semi-realistic potentials. The equations are solved numerically. For this purpose, the equations are transformed into an eigenvalue equation via the orthogonal collocation procedure using triquintic Hermite splines. The resulting eigenvalue equation is solved using the Restarted Arnoldi Algorithm. Ground state binding energies of the 3H nucleus are determined. For A > 3, the Potential Harmonic Expansion Method is employed. Using this method, the Schr¨odinger equation is transformed into coupled Faddeev-like equations. The Faddeevlike amplitudes are expanded on the potential harmonic basis. To transform the resulting coupled differential equations into an eigenvalue equation, we employ again the orthogonal collocation procedure followed by the Gauss-Jacobi quadrature. The corresponding eigenvalue equation is solved using the Renormalized Numerov Method to obtain ground state binding energies and root-mean-square radii of closed shell nuclei 4He, 8Be, 12C, 16O and 40Ca. / Physics / M. Sc. (Physics) Potential Harmonic basis Coupled differential equations Orthogonal collocation procedure Eigenvalue equation Restarted Arnoldi Algorithm Renormalized Numerov Method Closed shell nuclei 539.70151535 Bound states (Quantum mechanics) Three-body problem Nuclear physics Mathematical physics Differential equations
13	Théorie non linéaire du potentiel et équations quasilinéaires avec données mesures / Nonlinear potential theory and quasilinear equations with measure data Nguyen, Quoc-Hung 25 September 2014 (has links) Cette thèse concerne l’existence et la régularité de solutions d’équations non-linéaires elliptiques, d’équations paraboliques et d’équations de Hesse avec mesures, et les critères de l’existence de solutions grandes d’équations elliptiques et paraboliques non-linéaires. / This thesis is concerned to the existence and regularity of solutions to nonlinear elliptic, parabolic and Hessian equations with measure, and criteria for the existence of large solutions to some nonlinear elliptic and parabolic equations. Équations quasi-linéaire elliptiques Équations quasi-linéaires paraboliques Solutions renormalisée Solutions maximales Solutions grandes Potentiel de Wolff Potentiel de Riesz Potentiel de Bessel Potentiel maximal Noyau de la chaleur Noyau de Bessel parabolique Mesures de Radon Capacités de Lorentz-Bessel Capacités de Bessel Capacités de Hausdorff Lemme de recouvrement de Vitali Espaces de Lorentz Domaines épais uniformes Domaines plats de Reifenberg Estimations de décroissance Estimations de Lorentz-Morrey Estimations capacitaires Équations de milieu poreux Équations de type Riccati Quasilinear elliptic equations Quasilinear parabolic equations Renormalized solutions Maximal solutions Large solutions Wolff potential Riesz potential Bessel Potential Maximal potential Heat kernel Parabolic Bessel kernel Radon measures Lorentz-Bessel capacities Bessel capacities Hausdorff capacities Vitial covering Lemma Lorentz spaces Uniformly thick domain Reifenberg flat domain Decay estimates Lorentz- Morrey estimates Capacitary estimates Porous medium equations Riccati type Equations

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