English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we focus on nonlinear SPDEs with singularities included in bothdrift and noise coefficients, for which the Gelfand-triple argument developedfor (local) monotone SPDEs turns out to be invalid. We propose a generalframework of \emph{proper regularization} to solve such singular SPDEs. Asapplications, the (local and global) existence is presented for a broad classof fluid models driven by pseudo-differential noise of arbitrary order, whichinclude the stochastic magnetohydrodynamics (hence Navier-Stokes/Euler)equations, stochastic Camassa-Holm type equations, stochasticaggregation-diffusion equation and stochastic surface quasi-geostrophicequation. Thus, some recent results derived in the literature are considerablyextended in a unified way.

A General Framework for Solving Singular SPDEs with Applications to Fluid Models Driven by Pseudo-differential Noise