Periodic stochastic high-order Degasperis–Procesi equation with cylindrical fBm
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Publication:5213055
DOI10.1142/S0219493719500436zbMath1434.60149OpenAlexW2923467124MaRDI QIDQ5213055
Yong Chen, Hong-Jun Gao, Jian Hua Huang
Publication date: 31 January 2020
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493719500436
Second-order nonlinear hyperbolic equations (35L70) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
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Cites Work
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- Global existence for the stochastic Degasperis-Procesi equation
- Stochastic Korteweg-de Vries equation driven by fractional Brownian motion
- Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters \(H\in (1/3,1/2\)]
- Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems
- Well-posedness of a higher order modified Camassa-Holm equation in spaces of low regularity
- A theory of regularity structures
- On the well-posedness of the Degasperis-Procesi equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Periodic stochastic Korteweg-de Vries equation with additive space-time white noise
- Invariance of the white noise for KdV
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- On the stochastic Korteweg-de Vries equation
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- Periodic Korteweg-de Vries equation with measures as initial data
- Evolution equations driven by a fractional Brownian motion
- Global existence for a new periodic integrable equation.
- On the Cauchy problem for an integrable equation with peakon solutions
- Stochastic evolution equations with fractional Brownian motion
- Well-posedness and large deviations for a class of SPDEs with Lévy noise
- Two-dimensional Navier-Stokes equations driven by a space-time white noise
- Global weak solutions for a new periodic integrable equation with peakon solutions
- White noise driven Korteweg-de Vries equation
- Rough evolution equations
- Well-posedness for the stochastic higher order modified Camassa-Holm equation
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Rough stochastic PDEs
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- Stability of peakons for the Degasperis-Procesi equation
- Rough path analysis via fractional calculus
- The cauchy problem for a shallow water type equation
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Periodic Solutions of the Korteweg--de Vries Equation Driven by White Noise
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- Global solutions to a new integrable equation with peakons
- Stochastic calculus with respect to Gaussian processes
- Stochastic Equations in Infinite Dimensions
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