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11 papers · 2 filters
Repeated games for eikonal equations, integral curvature flows and non-linear parabolic integro-differential equations
Cyril Imbert, Sylvia Serfaty
The main purpose of this paper is to approximate several non-local evolution equations by zero-sum repeated games in the spirit of the previous works of Kohn and the second author…
Global Hilbert Expansion for the Vlasov-Poisson-Boltzmann System
Yan Guo, Juhi Jang
We study the Hilbert expansion for small Knudsen number for the Vlasov-Boltzmann-Poisson system for an electron gas. The zeroth order term takes the form of local Max…
Partial results on extending the Hopf Lemma
YanYan Li, Louis Nirenberg
In [1], Theorem 3, the authors proved, in one dimension, a generalization of the Hopf Lemma, and the question arose if it could be extended to higher dimensions. In this paper we p…
Homotopies of Eigenfunctions and the Spectrum of the Laplacian on the Sierpinski Carpet
Steven M. Heilman, Robert S. Strichartz
Consider a family of bounded domains in the plane (or more generally any Euclidean space) that depend analytically on the parameter , and consider the ordinary Neumann L…
Remarks on the Blowup Criteria for Oldroyd Models
Zhen Lei, Nader Masmoudi, Yi Zhou
We provide a new method to prove and improve the Chemin-Masmoudi criterion for viscoelastic systems of Oldroyd type in \cite{CM} in two space dimensions. Our method is much easier…
Global Solutions for the Gravity Water Waves Equation in Dimension 3
P. Germain, N. Masmoudi, J. Shatah
We show existence of global solutions for the gravity water waves equation in dimension 3, in the case of small data. The proof combines energy estimates, which yield control of L^…