Stochastic Camassa-Holm equation with convection type noise

DOI10.1016/j.jde.2020.12.013zbMath1469.60202arXiv1911.07077OpenAlexW3114360852WikidataQ112176303 ScholiaQ112176303MaRDI QIDQ2219050

Zdzisław Brzeźniak, Alexei Daletskii, Sergio A. Albeverio

Publication date: 19 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07077

zbMATH Keywords

stochastic Camassa-Holm equationlocal strong solutionsDoss-Sussman correspondenceKato's operator theory methodrandom quasi-linear partial differential equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with geophysics (35Q86)

Related Items (13)

Global existence and wave breaking for a stochastic two-component Camassa–Holm system ⋮ Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise ⋮ Global well-posedness of the viscous Camassa-Holm equation with gradient noise ⋮ Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system ⋮ Wave-breaking and weak instability for the stochastic modified two-component Camassa-Holm equations ⋮ On linear stochastic flows ⋮ Noise effects in some stochastic evolution equations: global existence and dependence on initial data ⋮ Multi solitary waves to stochastic nonlinear Schrödinger equations ⋮ On the stochastic Euler-Poincaré equations driven by pseudo-differential/multiplicative noise ⋮ Global existence of dissipative solutions to the Camassa-Holm equation with transport noise ⋮ A local-in-time theory for singular SDEs with applications to fluid models with transport noise ⋮ On the stochastic two-component Camassa-Holm system driven by pure jump noise ⋮ Construction of minimal mass blow-up solutions to rough nonlinear Schrödinger equations

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