A nonlinear thermoelastic system with nonlinear boundary conditions

作者：Clark H R^*; Clark M R; Louredo A T; Oliveira A M

来源：Journal of Evolution Equations, 2015, 15(4): 895-911.

DOI：10.1007/s00028-015-0286-2

• Thermoelastic coupled system
• Nonlinear boundary condition
• Existence
• Uniqueness and stabilization uniform of the solutions

In this paper, we give a mathematical treatment of a model for small vertical vibrations of an elastic membrane coupled with a heat equation and subject to nonlinear mixed boundary conditions. We establish the existence, uniqueness, and a uniform decay rate for global solutions to this nonlinear nonlocal thermoelastic coupled system under nonlinear boundary conditions.

• 出版日期2015-12