Well-posedness and large deviations of the stochastic modified Camassa-Holm equation

DOI10.1007/s11118-016-9548-zzbMath1350.60055OpenAlexW2293052759MaRDI QIDQ309006

Yong Chen, Hong-Jun Gao

Publication date: 6 September 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-016-9548-z

zbMATH Keywords

regularizationwell-posednesslarge deviationstrilinear estimatestochastic nonlinear equationsstochastic modified Camassa-Holm equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (12)

Deviation principles of a stochastic Leray-α system with fractional dissipation ⋮ On a stochastic Camassa-Holm type equation with higher order nonlinearities ⋮ 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 ⋮ Noise effects in some stochastic evolution equations: global existence and dependence on initial data ⋮ Global existence of dissipative solutions to the Camassa-Holm equation with transport noise ⋮ On the Pathwise Solutions to the Camassa--Holm Equation with Multiplicative Noise ⋮ Stochastic Camassa-Holm equation with convection type noise ⋮ On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena ⋮ The effect of a noise on the stochastic modified Camassa–Holm equation ⋮ On the stochastic two-component Camassa-Holm system driven by pure jump noise

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