Solution of Burger Equation with Viscosity Applying the Boundary Layer Theory

TL;DR

This paper applies boundary layer theory to solve the viscous Burger equation and demonstrates convergence to the stationary solution in the L2 norm.

Contribution

It introduces a method for solving the viscous Burger equation using boundary layer theory and analyzes convergence properties.

Findings

Solution converges to stationary solution in L2 norm

Boundary layer theory effectively applied to viscous Burger equation

Provides analytical insight into solution behavior

Abstract

In this article we find the solution of the Burger equation with viscosity applying the boundary layer theory. In addition, we will observe that the solution of Burger equation with viscosity converge to the solution of Burger stationary equation in the norm of $L_{2}([-1,1])$.