具有本征磁化的磁流体动力学模型的局部时间适定性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-27 DOI:10.1016/j.nonrwa.2025.104446

Noah Vinod, Thanh Tran

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引用次数: 0

摘要

铁磁磁流体力学研究的是在磁场影响下具有本征磁化的导电流体。它是磁流体动力学方程的推广，并考虑了流体磁化的动力学。Lingam（2015）首先提出了磁流体动力学的常用方程，即Navier-Stokes方程和感应方程与Landau-Lifshitz-Gilbert方程耦合。本文讨论了该系统强解的局部存在性、唯一性和正则性。

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Local-in-time well-posedness for a magnetohydrodynamical model with intrinsic magnetisation

Ferromagnetic magnetohydrodynamics concerns the study of conducting fluids with intrinsic magnetisation under the influence of a magnetic field. It is a generalisation of the magnetohydrodynamical equations and takes into account the dynamics of the magnetisation of a fluid. First proposed by Lingam (2015), the usual equations of magnetohydrodynamics, namely the Navier–Stokes equation and the induction equation, are coupled with the Landau–Lifshitz–Gilbert equation. In this paper, the local-in-time existence, uniqueness and regularity of strong solutions to this system are discussed.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.