Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics

We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev spaces of low regularity, including spaces with norm beneath the energy norm. For the special case of thermal equilibrium, we also show the existence of an invariant measure (Gibbs state).

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Year of publication:	2005
Authors:	Rey-Bellet, Luc ; Thomas, Lawrence E.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 115.2005, 6, p. 1041-1059
Publisher:	Elsevier
Keywords:	Stochastic nonlinear wave equation Gibbs measures Nonequilibrium statistical mechanics Hamiltonian PDE's Low regularity solutions Heat conduction

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008875379