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Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations
rarefaction wave vacuum for 1-D compressible Navier-Stokes equations
2010/11/15
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be connected with vac...
Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes
Nonequilibrium fluctuations tagged particle one-dimensional sublinear rate zero-range processes
2010/11/11
Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara-Landim-Sethuraman (2...
Equilibrium in Two-Player Non-Zero-Sum Dynkin Games in Continuous Time
Dynkin games stopping games equilibrium stochastic analysis
2010/12/14
We prove that every two-player non-zero-sum Dynkin game in continuous time ad-mits an "-equilibrium in randomized stopping times. We provide a condition that ensures the existence of an "-equilibrium ...
Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation
integrable Weingarten surfaces soliton theory equation possesses
2010/4/1
In this paper we classify Weingarten surfaces integrable in the sense of soliton theory. The criterion is that the associated Gauss equation possesses an sl(2)-valued zero curvature representation wit...