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On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions. (English) Zbl 1362.35046
Summary: This paper deals with the existence, uniqueness, and asymptotic behavior of global solutions for a parabolic-hyperbolic coupled system with both local and nonlocal nonlinearities under mixed nonlinear acoustic boundary conditions.

MSC:
35B40 Asymptotic behavior of solutions to PDEs
35L20 Initial-boundary value problems for second-order hyperbolic equations
74F05 Thermal effects in solid mechanics
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