Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model
From MaRDI portal
Publication:899618
DOI10.1016/j.nonrwa.2015.10.009zbMath1382.35344OpenAlexW2174962175MaRDI QIDQ899618
Lili Fan, Yong Chen, Hong-Jun Gao
Publication date: 30 December 2015
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.10.009
KdV equations (Korteweg-de Vries equations) (35Q53) Large deviations (60F10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items
Well-posedness and large deviations of the stochastic modified Camassa-Holm equation, The Hunter-Saxton equation with noise, Well-posedness and blow-up solution for the stochastic Dullin-Gottwald-Holm equation, Small time asymptotics for SPDEs with locally monotone coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for the two-component Dullin-Gottwald-Holm system
- Well-posedness for stochastic Camassa-Holm equation
- On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations
- On the \(L^p\) norms of stochastic integrals and other martingales
- On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drifts
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- On a completely integrable nonlinear hyperbolic variational equation
- Small-time Gaussian behavior of symmetric diffusion semigroups
- On the small time asymptotics of diffusion processes on path groups
- Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
- On the small time asymptotics of diffusion processes on Hilbert spaces.
- White noise driven Korteweg-de Vries equation
- Well-posedness for the stochastic higher order modified Camassa-Holm equation
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Uniqueness of Solutions for the Generalized Korteweg–de Vries Equation
- Commutator estimates and the euler and navier-stokes equations
- Dynamics of Director Fields
- The initial-value problem for the Korteweg-de Vries equation
- Diffusion processes in a small time interval
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- Existence and singularities of solutions to an integrable equation governing short-waves in a long-wave model
- An integrable equation governing short waves in a long-wave model
- Global Solutions of the Hunter--Saxton Equation
- Stochastic Equations in Infinite Dimensions