Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 114, pp. 1-22.

Title: Global solution to a Hopf equation and its application to
       non-strictly hyperbolic systems of conservation laws

Authors: Darko Mitrovic (Norwegian Institute of Science and Tech., Norway)
         Jela Susic     (Univ. of Montenegro, Montenegro)

Abstract: 
 From a Hopf equation we develop a recently introduced technique, the
 weak asymptotic method, for describing the shock wave formation and
 the interaction processes. Then, this technique is applied to a
 system of conservation laws arising from pressureless gas dynamics.
 As an example, we study the shock wave formation process in a
 two-dimensional scalar conservation laws arising in oil reservoir
 problems.
 
Submitted December 5, 2006. Published August 22, 2007.
Math Subject Classifications: 35L65.
Key Words: Weak asymptotic method; Hopf equation; shock wave formation;
           pressureless gas dynamics; system of conservation laws; 
           multidimensional shocks.