Global bifurcation for water waves with capillary effects and constant vorticity

作者：Matioc Bogdan Vasile^*

来源：Monatshefte fur Mathematik, 2014, 174(3): 459-475.

DOI：10.1007/s00605-013-0583-1

• Global bifurcation
• Constant vorticity
• Stagnation points

We study periodic capillary and capillary-gravity waves traveling over a water layer of constant vorticity and finite depth. Inverting the curvature operator, we formulate the mathematical model as an operator equation for a compact perturbation of the identity. By means of global bifurcation theory, we then construct global continua consisting of solutions of the water wave problem which may feature stagnation points. A characterization of these continua is also included.

• 出版日期2014-7