We consider stochastic heat equation, namely a heat equation with a random noise. In our previous work, we have shown that the solution goes to zero. In this project we aim to find the convergence rate. Also we consider stochastic Allen-Cahn equation. We suspect that if the noise level is low, then there exist two invariant measures.
|Effective start/end date||1/08/20 → 31/07/21|
- Stochastic heat equations
- stochastic Allen-Cahn equations
- invariant measure
- convergence rate.
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