
doi: 10.1063/5.0076986
In this work, we investigate a Bresse system with thermal and mass diffusion effects. First, we establish the existence of a unique solution for the problem using the semigroup theory. Then, we show the lack of exponential stability in the case of different wave speeds. Finally, we prove an exponential stability for the considered problem in the case of equal wave speeds.
Groups and semigroups of linear operators, Thermal effects in solid mechanics, Asymptotic behavior of solutions to PDEs, Long-time behavior of solutions for dynamical problems in solid mechanics, PDEs in connection with mechanics of deformable solids, Stability of dynamical problems in solid mechanics
Groups and semigroups of linear operators, Thermal effects in solid mechanics, Asymptotic behavior of solutions to PDEs, Long-time behavior of solutions for dynamical problems in solid mechanics, PDEs in connection with mechanics of deformable solids, Stability of dynamical problems in solid mechanics
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