Noise effect in a stochastic generalized Camassa-Holm equation
DOI10.3934/cpaa.2022113zbMath1498.35641OpenAlexW4286543376MaRDI QIDQ2079213
Yong-Ye Zhao, Zhenzhen Wang, Yingting Miao
Publication date: 29 September 2022
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2022113
global existenceblow-up criterionnon-uniform dependencenoise effectstochastic generalized Camassa-Holm equation
PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44)
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Cites Work
- Well-posedness of the modified Camassa-Holm equation in Besov spaces
- Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations
- Well-posedness of the transport equation by stochastic perturbation
- Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Well-posedness of modified Camassa-Holm equations
- Strong pathwise solutions of the stochastic Navier-Stokes system
- Geometric theory of semilinear parabolic equations
- Euler equations on homogeneous spaces and Virasoro orbits
- Solution properties of a 3D stochastic Euler fluid equation
- Stochastic MHD equations with fractional kinematic dissipation and partial magnetic diffusion in \(\mathbb{R}^2\)
- A local-in-time theory for singular SDEs with applications to fluid models with transport noise
- Wave-breaking and moderate deviations of the stochastic Camassa-Holm equation with pure jump noise
- The dependence on initial data of stochastic Camassa-Holm equation
- On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena
- The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions
- A concise course on stochastic partial differential equations
- Well-posedness of higher-order Camassa-Holm equations
- Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise
- On a stochastic Camassa-Holm type equation with higher order nonlinearities
- Commutator estimates and the euler and navier-stokes equations
- An integrable shallow water equation with peaked solitons
- On the Pathwise Solutions to the Camassa--Holm Equation with Multiplicative Noise
- Commutator estimates
- The effect of a noise on the stochastic modified Camassa–Holm equation
- Fractionally Dissipative Stochastic Quasi-Geostrophic Type Equations on ${\mathbb{R}}^{d}$
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