On the Solution of Stochastic Generalized Burgers Equation

Nidal Dib, Amar Guesmia, Noureddine Daili

Abstract


We are interested in one dimensional nonlinear stochastic partial differential equation: the generalized Burgers equation with homogeneous Dirichlet boundary conditions, perturbed by additive space-time white noise. We propose a result of existence and uniqueness of the local solution to the viscous equation using fixed point argument, then if we impose a condition to the viscosity coefficient we can prove that this solution is global.

Keywords


Stochastic Burgers equation; Space-time white noise; Fixed point argument; Viscosity coefficient

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References


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