Open AccessOn the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation
Author(s) -
Jiacheng Wang,
Peng-Fei Yao
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021043
Subject(s) - dissipation , attractor , mathematical analysis , variable (mathematics) , curvature , wave equation , boundary (topology) , nonlinear system , physics , mathematics , metric (unit) , variable coefficient , boundary value problem , geometry , thermodynamics , quantum mechanics , operations management , economics
Long time behavior of a semilinear wave equation with variable coefficients with nonlinear boundary dissipation is considered. It is shown that the existence of global and compact attractors depends on the curvature properties of a Riemannian metric given by the variable coefficients.