J
Jean Dolbeault
Researcher at Paris Dauphine University
Publications - 308
Citations - 7911
Jean Dolbeault is an academic researcher from Paris Dauphine University. The author has contributed to research in topics: Sobolev inequality & Nonlinear system. The author has an hindex of 42, co-authored 293 publications receiving 7072 citations. Previous affiliations of Jean Dolbeault include Paul Sabatier University & PSL Research University.
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Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model
Jean Dolbeault,Gabriel Turinici +1 more
TL;DR: It is discussed here a possible explanation, namely that the lockdown is creating social heterogeneity: even if a large majority of the population complies with the lockdown rules, a small fraction of the Population still has to maintain a normal or high level of social interactions, such as health workers, providers of essential services, etc.
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Monokinetic charged particle beams: qualitative behavior of the solutions of the Cauchy problem and 2d time-periodic solutions of the Vlasov-Poisson system
TL;DR: In this article, a solution of the 2D Vlasov-Poisson system for charged particles f = f(t,x,v) is defined on the phase space (x represents the position and v the velocity of the particles) and U = u(T,x) is the self-consistent potential given by the Poisson equation.
Journal Article
L1 and L8 intermediate asymptotics for scalar conservation laws
Jean Dolbeault,Miguel Escobedo +1 more
TL;DR: In this paper, the authors studied the rate of convergence of nonnegative solutions of a simple scalar conservation law to their asymptotic states in a weighted L 1 norm.
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Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models
TL;DR: In this article, the authors 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 perfect polytropic gas, and to the model w...
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Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
TL;DR: In this article, the authors take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequali-ties.