This article studies the initial-boundary value problem for a three dimensional magnetic-curvature-driven Rayleigh-Taylor model.We first obtain the global existence of weak solutions for the full model equation by emp...This article studies the initial-boundary value problem for a three dimensional magnetic-curvature-driven Rayleigh-Taylor model.We first obtain the global existence of weak solutions for the full model equation by employing the Galerkin’s approximation method.Secondly,for a slightly simplified model,we show the existence and uniqueness of global strong solutions via the Banach’s fixed point theorem and vanishing viscosity method.展开更多
基金This article is support in part by NNSF(11871172)Natural Science Foundation of Guangdong Province of China(2019A1515012000).
文摘This article studies the initial-boundary value problem for a three dimensional magnetic-curvature-driven Rayleigh-Taylor model.We first obtain the global existence of weak solutions for the full model equation by employing the Galerkin’s approximation method.Secondly,for a slightly simplified model,we show the existence and uniqueness of global strong solutions via the Banach’s fixed point theorem and vanishing viscosity method.
