Stability properties of some port-Hamiltonian SPDEs

被引：0

作者：

Kuchling, Peter ^{[1
]}

Rudiger, Barbara ^{[2
]}

Ugurcan, Baris ^{[2
]}

机构：

[1] Univ Appl Sci & Arts, Fac Engn & Math, Bielefeld, Germany

[2] Univ Wuppertal, Sch Math & Nat Sci, Dept Math & Informat, Gaussstr 20, D-42119 Wuppertal, Germany

来源：

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2024年

关键词：

Port-Hamiltonian system; invariant measure; mild solution; L & eacute; vy noise; stochastic partial differential equation; GLAUBER EVOLUTION; KAC POTENTIALS; EXISTENCE;

D O I：

10.1080/17442508.2024.2387773

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the existence and uniqueness of invariant measures of a class of stochastic partial differential equations with Gaussian and Poissonian noise and its exponential convergence. This class especially includes a case of stochastic port-Hamiltonian equations.

引用

页数：15

共 22 条

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