On the Solution of Stochastic Generalized Burgers Equation

Authors

  • Nidal Dib Departement of Mathematics, Laboratory LAMAHIS, 20 aoí»t, 1955 University, Skikda
  • Amar Guesmia Departement of Mathematics, Laboratory LAMAHIS, 20 aoí»t, 1955 University, Skikda
  • Noureddine Daili Department of mathematics, Cite des 300 Lots Yahiaoui, 51 rue Harrag Senoussi, 19000 Setif

DOI:

https://doi.org/10.26713/cma.v9i4.918

Keywords:

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

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.

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References

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Published

26-09-2018
CITATION

How to Cite

Dib, N., Guesmia, A., & Daili, N. (2018). On the Solution of Stochastic Generalized Burgers Equation. Communications in Mathematics and Applications, 9(4), 521–528. https://doi.org/10.26713/cma.v9i4.918

Issue

Vol. 9 No. 4 (2018)

Section

Research Article

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