Long-time existence for a Whitham–Boussinesq system in two dimensions
Long-time existence for a Whitham–Boussinesq system in two dimensions
This paper is concerned with a two-dimensional Whitham–Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We prove that the associated Cauchy problem is well-posed for initial data of low regularity, with existence time of scale [Formula: see text], where [Formula: see text] and [Formula: see text] are …