Attractor for the viscous two-component Camassa-Holm equation

作者：Tian Lixin^*; Xu Ying; Zhou Jiangbo

来源：Nonlinear Analysis: Real World Applications , 2012, 13(3): 1115-1129.

DOI：10.1016/j.nonrwa.2011.09.005

• Two-component Camassa-Holm equation
• Global solution
• Viscous
• Attractor

This paper is concerned with the attractor for a viscous two-component generalization of the Camassa-Holm equation subject to an external force, where the viscosity term is given by a second order differential operator. The global existence of solution to the viscous two-component Camassa-Holm equation with the periodic boundary condition is studied. We obtain the compact and bounded absorbing set and the existence of the global attractor in H-2 x H-2 for the viscous two-component Camassa-Holm equation by uniform prior estimate and many inequalities.

• 出版日期2012-6
• 单位江苏大学