Stochastic Burgers' equation
Copyright policy )Stochastic Burgers' equation
The authors prove that the stochastic Burger's equation forced by a cylindrical Wiener process with Dirichlet boundary conditions and the initial condition has a unique global solution. Also the existence of an invariant measure for the corresponding transition semigroup is established.
- University of Paris-Saclay France
- Scuola Normale Superiore Italy
- University of Paris-Sud France
Wiener process, KdV equations (Korteweg-de Vries equations), transition semigroup, unique global solution, PDEs with randomness, stochastic partial differential equations, Dirichlet boundary conditions, existence of an invariant measure
Wiener process, KdV equations (Korteweg-de Vries equations), transition semigroup, unique global solution, PDEs with randomness, stochastic partial differential equations, Dirichlet boundary conditions, existence of an invariant measure
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