Proves linear spatial and almost 1/2 temporal convergence rates for finite-element discretization of 2D stochastic Navier-Stokes with multiplicative noise, improving prior temporal rate of 1/4 via stochastic pressure decomposition.
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General quantitative conditions are established for the existence of a unique invariant probability measure and exponential ergodicity of Markov semigroups for stochastic evolution equations with locally monotone drift and degenerate additive Wiener noise, together with moment estimates and Wasserst
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Convergence rates for the numerical approximation of the 2D stochastic Navier-Stokes equations
Proves linear spatial and almost 1/2 temporal convergence rates for finite-element discretization of 2D stochastic Navier-Stokes with multiplicative noise, improving prior temporal rate of 1/4 via stochastic pressure decomposition.
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Ergodicity and mixing for locally monotone stochastic evolution equations
General quantitative conditions are established for the existence of a unique invariant probability measure and exponential ergodicity of Markov semigroups for stochastic evolution equations with locally monotone drift and degenerate additive Wiener noise, together with moment estimates and Wasserst