Propagation and interaction of shock waves of quasilinear equation

TL;DR

This paper introduces a novel regularization technique to construct shock wave solutions with nonsmooth fronts in one-dimensional quasilinear equations, addressing the complex interaction of shock waves.

Contribution

The paper presents a new regularization method specifically designed for constructing shock wave solutions with nonsmooth fronts in quasilinear equations.

Findings

Successfully constructs shock wave solutions with nonsmooth fronts.

Provides a new approach to handle shock wave interactions.

Enhances understanding of shock wave behavior in quasilinear equations.

Abstract

We propose a new regularization method for constructing a shock wave type solution with nonsmooth front (interaction of shock waves) for quasilinear equations in the one-dimensional case.