22 citations · 55 across the 25 of their papers we have counts for
4 papers · 1 filter
On the Schrödinger-Debye System in Compact Riemannian Manifolds
Marcelo Nogueira, Mahendra Panthee
We consider the initial value problem (IVP) associated to the Schrödinger-Debye system posed on a -dimensional compact Riemannian manifold and prove local well-posedness res…
Sharp well-posedness for a coupled system of mKdV type equations
Xavier Carvajal, Mahendra Panthee
We consider the initial value problem associated to a system consisting modified Korteweg-de Vries type equations \begin{equation*} \begin{cases} \partial_tv + \partial_x^3v + \par…
On the periodic Zakharov-Kuznetsov equation
Felipe Linares, Mahendra Panthee, Tristan Robert +1
We consider the Cauchy problem associated with the Zakharov-Kuznetsov equation, posed on . We prove the local well-posedness for given data in whe…
On sharp global well-posedness and Ill-posedness for a fifth-order KdV-BBM type equation
Mahendra Panthee, Xavier Carvajal
We consider the Cauchy problem associated to the recently derived higher order hamiltonian model for unidirectional water waves and prove global existence for given data in the Sob…