Wave-breaking phenomena and global existence for the generalized Fornberg-Whitham equation

Abstract

We consider the generalized Fornberg-Whitham equation. We study sufficient conditions for blow-up of solutions and show the global existence with small initial data. Also we give some relations to the Burgers equation.

24 pages

Cited by in corpus (2)

• Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations
• Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation