Add to ORKGAbstract. We introduce a novel solution concept, denoted α-dissipative solu-tions, that provides a continuous interpolation between conservative and dissi-pative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with vanishing asymptotics. All the α-dissipative solutions are global weak solutions of the same equation in Eulerian coordinates, yet they exhibit rather distinct behavior at wave breaking. The solutions are con-structed after a transformation into Lagrangian variables, where the solution is carefully modified at wave breaking. 1
We establish the concept of α-dissipative solutions for the two-component Hunter–Saxton system under...
Abstract. We study global conservative solutions of the Cauchy problem for the Camassa–Holm equation...
ABSTRACT. In this paper we study a generalized two-component Camassa-Holm system which can be derive...
We introduce a novel solution concept, denotedα-dissipative solutions, that provides a continuousint...
We show the existence of a global weak dissipative solution of the Cauchy problem for the two-compon...
Dedicated with admiration to Fritz Gesztesy on the occasion of his sixtieth anniversary Abstract. We...
This article presents a continuous semigroup of globally defined weak dissipative solutions for the...
The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallo...
This paper investigates the continuation of solutions to the modified coupled two-component Camassa-...
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
Abstract. We prove existence of a global conservative solution of the Cauchy problem for the two-com...
This paper develops a new approach in the analysis of the Camassa-Holm equation. By introducing a ne...
AbstractThis paper is concerned with global existence and blow-up phenomena for the weakly dissipati...
AbstractWe first prove the existence of global conservative solutions to the Cauchy problem for a mo...
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm syst...
We establish the concept of α-dissipative solutions for the two-component Hunter–Saxton system under...
Abstract. We study global conservative solutions of the Cauchy problem for the Camassa–Holm equation...
ABSTRACT. In this paper we study a generalized two-component Camassa-Holm system which can be derive...
We introduce a novel solution concept, denotedα-dissipative solutions, that provides a continuousint...
We show the existence of a global weak dissipative solution of the Cauchy problem for the two-compon...
Dedicated with admiration to Fritz Gesztesy on the occasion of his sixtieth anniversary Abstract. We...
This article presents a continuous semigroup of globally defined weak dissipative solutions for the...
The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallo...
This paper investigates the continuation of solutions to the modified coupled two-component Camassa-...
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave break...
Abstract. We prove existence of a global conservative solution of the Cauchy problem for the two-com...
This paper develops a new approach in the analysis of the Camassa-Holm equation. By introducing a ne...
AbstractThis paper is concerned with global existence and blow-up phenomena for the weakly dissipati...
AbstractWe first prove the existence of global conservative solutions to the Cauchy problem for a mo...
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm syst...
We establish the concept of α-dissipative solutions for the two-component Hunter–Saxton system under...
Abstract. We study global conservative solutions of the Cauchy problem for the Camassa–Holm equation...
ABSTRACT. In this paper we study a generalized two-component Camassa-Holm system which can be derive...