| Abstract: |
| We study a three-dimensional stochastic thermoelastic system with nonlinear damping and forcing. The model couples a nonlinear elasticity equation with a heat equation driven by additive noise. Using compactness, variational, and monotonicity methods, we prove the existence of weak martingale solutions. Under additional structural assumptions on the damping and noise, we establish pathwise uniqueness. These results contribute to the analysis of stochastic thermoelastic systems with nonlinear dissipation |
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