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

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dc.creatorRey-Bellet, Luc
dc.creatorThomas, Lawrence E.
dc.date2003-12-29
dc.date.accessioned2026-07-07T04:30:51Z
dc.date.available2026-07-07T04:30:51Z
dc.descriptionWe 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).
dc.identifierhttps://arxiv.org/abs/math-ph/0312072
dc.identifierhttp://arxiv.org/abs/math-ph/0312072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57613
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82C05; 35Q55; 60H15
dc.titleLow regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics
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