Wave breaking and shock waves for a periodic shallow water equation.
This paper is devoted to the study of a recently derived periodic shallow water equation. We discuss in detail the blow-up scenario of strong solutions and present several conditions on the initial profile, which ensure the occurrence of wave breaking. We also present a family of global weak solutions, which may be viewed as global periodic shock waves to the equation under discussion.
Escher
Joachim
J
Institute for Applied Mathematics, Leibniz University of Hanover, 30167 Hanover, Germany. escher@ifam.uni-hannover.de