Analysis and Numerical Simulation of Viscous Burgers Equation

作者:Clark H R*; Rincon M A; Silva A
来源:Numerical Functional Analysis and Optimization, 2011, 32(7): 695-716.
DOI:10.1080/01630563.2011.580873

摘要

This work is concerned with the viscous Burgers equation inside a time dependent domain. We establish theoretical and numerical analysis such as existence and uniqueness of solutions, asymptotic behavior to the energy, and numerical discretization by Finite difference and Finite element methods.