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math.AP2024
High Order Smoothness for Stochastic Navier-Stokes Equations with Transport and Stretching Noise on Bounded Domains
Daniel Goodair
We obtain energy estimates for a transport and stretching noise under Leray Projection on a 2D bounded convex domain, in Sobolev Spaces of arbitrarily high order. The estimates are…
math.AP2024
Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs
Daniel Goodair
We extend recent existence and uniqueness results for maximal solutions of SPDEs through an improved blow-up criterion. Whilst the maximal time of existence is typically characteri…
math.AP2024
Weak and Strong Solutions to Nonlinear SPDEs with Unbounded Noise
Daniel Goodair
We introduce an extended variational framework for nonlinear SPDEs with unbounded noise, defining three different solution types of increasing strength along with criteria to estab…