Periodic solutions of the Hopf equation
Abstract
We consider the longtime dynamics of approximate solutions of the boundaryvalue problem for the Hopf equation on a finite segment. Together with the initial conditions, for instance, we impose the zero Dirichlet conditions on both ends of the segment. In this case, all features of solutions associated with the intersections of characteristics are accumulated on a strip bounded by the vertical characteristics emitted from the boundary points.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 November 2013
 DOI:
 10.1007/s112320130116z
 Bibcode:
 2013TMP...177.1471S
 Keywords:

 generalized solution;
 conservation law;
 Galerkin method