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