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math.PR2025
On the approximation of finite-time Lyapunov exponents for the stochastic Burgers equation
Alexandra Blessing, Dirk Blömker
We analyze stochastic partial differential equations (SPDEs) with quadratic nonlinearities close to a change of stability. To this aim we compute finite-time Lyapunov exponents (FT…
math.DS2025
Effective dynamics of interfaces for nonlinear SPDEs driven by multiplicative white noise
Shenglan Yuan, Dirk Blömker
In the present work, we investigate the dynamics of the infinite-dimensional stochastic partial differential equation (SPDE) with multiplicative white noise. We derive the effectiv…