Formation of singularities for a conservation law with damping
Abstract
The equations of gas dynamics in a tube with varying cross section are an example of a nonhomogeneous system of conservation laws. In this work we study the Riemann problem for this system by viewing it as a perturbation of the classical equations of gas dynamics in a uniform tube. We also study the Riemann problem and the formation of singularities for a related, but simpler, problem of a nonhomogeneous Berger's equation.
- Publication:
-
Technical Summary Report Wisconsin Univ
- Pub Date:
- November 1981
- Bibcode:
- 1981wisc.reptR....L
- Keywords:
-
- Cauchy Problem;
- Conservation Laws;
- Gas Dynamics;
- Singularity (Mathematics);
- Boundary Value Problems;
- Fluid Dynamics;
- Nonconservative Forces;
- Perturbation;
- Pipes (Tubes);
- Fluid Mechanics and Heat Transfer