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.

中文翻译：

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3D 磁曲率驱动 Rayleigh-Taylor 模型的初始边界值问题

本文研究了三维磁曲率驱动的 Rayleigh-Taylor 模型的初始边界值问题。我们首先采用伽辽金近似法得到全模型方程弱解的全局存在性。其次，对于一个稍微简化的模型，我们通过巴拿赫不动点定理和粘度消失方法证明了全局强解的存在性和唯一性。