Nearly concentric Korteweg-de Vries equation and periodic traveling wave solution.
Nonlinear Perturbations of Uncoupled Systems of Elliptic Operators.
Nonlinear stability of a quasi-static Stefan problem with surface tension : a continuation approach
Nonlocal variational problems arising in long wave propagation
Nonlocal variational problems arising in long wave propagatioN
In this paper we study the existence of minimizer for certain constrained variational problems given by functionals with nonlocal terms. This type of functionals are first integrals of evolution equations describing long wave propagation and the existence of minimizer gives the existence and the stability of traveling waves for these equations. Due to loss of compactness, the major problem is to prevent dichotomy of minimizing sequences. Our approach is an alternative to the concentration-compactness...
Non-Realizable CR Structures.