Search Results - "Dolbeault, J."
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Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
Published in Proceedings of the National Academy of Sciences - PNAS (21-09-2010)“…The goal of this paper is to state the optimal decay rate for solutions of the nonlinear fast diffusion equation and, in self-similar variables, the optimal…”
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Hypocoercivity and sub-exponential local equilibria
Published in Monatshefte für Mathematik (01-01-2021)“…Hypocoercivity methods are applied to linear kinetic equations without any space confinement, when local equilibria have a sub-exponential decay. By Nash type…”
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Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (Large time behavior and steady states)
Published in Journal de mathématiques pures et appliquées (01-02-1999)“…This paper is devoted to the characterization of external electrostatic potentials for which the Vlasov-Poisson-Fokker-Planck system satisfies one of the…”
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Kinetic models and quantum effects : a modified Boltzmann equation for fermi-dirac particles
Published in Archive for rational mechanics and analysis (01-01-1994)Get full text
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Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research
Published in Monatshefte für Mathematik (01-06-2004)Get full text
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On the Long-Time Behavior of the Quantum Fokker-Planck Equation
Published in Monatshefte für Mathematik (01-03-2004)Get full text
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On Asymmetric Quasiperiodic Solutions of Hartree–Fock Systems
Published in Journal of Differential Equations (20-01-2002)“…The time-dependent Hartree–Fock system is considered in the presence of external magnetic and electric fields, and with a self-consistent potential including…”
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Intermediate asymptotics in L1 for general nonlinear diffusion equations
Published in Applied mathematics letters (2002)“…We prove intermediate asymptotics results in L 1 for general nonlinear diffusion equations which behave like power laws at the origin using relative entropy…”
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Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions
Published in Journal de mathématiques pures et appliquées (01-09-2002)“…In this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type inequalities which turns out to interpolate between the classical…”
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Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models
Published in Transport theory and statistical physics (01-04-2000)“…We apply the method of time-dependent rescalings which has been developed by G. Rein and the author to a model kinetic equation, to the Euler equations for a…”
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Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems
Published in Journal of functional analysis (01-09-2006)“…This paper is devoted to inequalities of Lieb–Thirring type. Let V be a nonnegative potential such that the corresponding Schrödinger operator has an unbounded…”
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Harnack Inequalities and Discrete—Continuous Error Estimates for a Chain of Atoms with Two—Body Interactions
Published in Journal of statistical physics (2009)“…We consider deformations in ℝ 3 of an infinite linear chain of atoms where each atom interacts with all others through a two-body potential. We compute the…”
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“Bubble-tower” radial solutions in the slightly supercritical Brezis–Nirenberg problem
Published in Journal of Differential Equations (20-09-2003)“…In this paper, we consider the Brezis–Nirenberg problem in dimension N⩾4, in the supercritical case. We prove that if the exponent gets close to N+2 N−2 and…”
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Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes
Published in Applied mathematics research express (01-01-2013)“…This paper is devoted to the adaptation of the method developed in [4,3] to a Fokker-Planck equation for fiber lay-down which has been studied in [1,5]…”
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Refined convex Sobolev inequalities
Published in Journal of functional analysis (15-08-2005)“…This paper is devoted to refinements of convex Sobolev inequalities in the case of power law relative entropies: a nonlinear entropy–entropy production…”
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On the Eigenvalues of Operators with Gaps. Application to Dirac Operators
Published in Journal of functional analysis (20-06-2000)“…This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We…”
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Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems
Published in Annales Henri Poincaré (01-01-2000)Get full text
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The Brezis–Nirenberg problem near criticality in dimension 3
Published in Journal de mathématiques pures et appliquées (01-12-2004)“…We consider the problem of finding positive solutions of Δ u+ λu+ u q =0 in a bounded, smooth domain Ω in R 3 , under zero Dirichlet boundary conditions. Here…”
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