Abstract
Abstract:
We deal with the Camassa-Holm equation possesses a global continuous semigroup of weak conservative solutions for initial data. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. To characterize conservative solutions it is necessary to include the energy density given by the positive Radon measure µ with . The total energy is preserved by the solution.
Keywords
- weak solutions
- Camassa-Holm equation
- Radon measure
- energy density
- global existence of solution
- total energy