Régularité de la solution des équations cinétiques en physique des plasmas
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Regularity analysis for systems of reaction-diffusion equations
Thierry Goudon, Alexis Vasseur (2010)
Annales scientifiques de l'École Normale Supérieure
This paper is devoted to the study of the regularity of solutions to some systems of reaction–diffusion equations. In particular, we show the global boundedness and regularity of the solutions in one and two dimensions. In addition, we discuss the Hausdorff dimension of the set of singularities in higher dimensions. Our approach is inspired by De Giorgi’s method for elliptic regularity with rough coefficients. The proof uses the specific structure of the system to be considered and is not a mere...
Relativistic hamiltonian dynamics of singularities of the Liouville equation
A. K. Pogrebkov, I. T. Todorov (1983)
Annales de l'I.H.P. Physique théorique
Remark on Essential Selfadjointness of Dirac Operators with Coulomb Potentials.
Volker Vogelsang (1987)
Mathematische Zeitschrift
Remark to the comparison of solution properties of Love's equation with those of wave equation
Věra Radochová (1978)
Aplikace matematiky
In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.
Remarks on the Solvability of Transonic Flow Problems.
Jindrich Necas, Miloslav Feistauer (1988)
Manuscripta mathematica
Remarque sur le problème de Cauchy pour une équation de Dirac non linéaire avec masse nulle
Dias, João-Paulo, Figueira, Mário (1988)
Portugaliae mathematica
Representation of equilibrium solutions to the table problem of growing sandpiles
Piermarco Cannarsa, Pierre Cardaliaguet (2004)
Journal of the European Mathematical Society
In the dynamical theory of granular matter the so-called table problem consists in studying the evolution of a heap of matter poured continuously onto a bounded domain . The mathematical description of the table problem, at an equilibrium configuration, can be reduced to a boundary value problem for a system of partial differential equations. The analysis of such a system, also connected with other mathematical models such as the Monge–Kantorovich problem, is the object of this paper. Our main...
Résurgence d'un thème de Huygens-Fresnel
Frédéric Pham (1988)
Publications Mathématiques de l'IHÉS
Ring source potentials in two superposed fluids separated by an inertial surface.
Mandal, B.N., Kundu, Krishna (1988)
International Journal of Mathematics and Mathematical Sciences
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices
Sören Bartels (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This article discusses the numerical approximation of time dependent Ginzburg-Landau equations. Optimal error estimates which are robust with respect to a large Ginzburg-Landau parameter are established for a semi-discrete in time and a fully discrete approximation scheme. The proofs rely on an asymptotic expansion of the exact solution and a stability result for degree-one Ginzburg-Landau vortices. The error bounds prove that degree-one vortices can be approximated robustly while unstable higher...
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices
Sören Bartels (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This article discusses the numerical approximation of time dependent Ginzburg-Landau equations. Optimal error estimates which are robust with respect to a large Ginzburg-Landau parameter are established for a semi-discrete in time and a fully discrete approximation scheme. The proofs rely on an asymptotic expansion of the exact solution and a stability result for degree-one Ginzburg-Landau vortices. The error bounds prove that degree-one vortices can be approximated robustly while unstable higher...
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