Global conservative solutions of the Camassa-Holm equation
Research output: Contribution to journal › Article
This paper develops a new approach in the analysis of the Camassa-Holm equation. By introducing a new set of independent and dependent variables, the equation is transformed into a semilinear system, whose solutions are obtained as fixed points of a contractive transformation. These new variables resolve all singularities due to possible wave breaking. Returning to the original variables, we obtain a semigroup of global solutions, depending continuously on the initial data. Our solutions are conservative, in the sense that the total energy equals a constant, for almost every time.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Archive for Rational Mechanics and Analysis|
|Publication status||Published - 2007|