磁流体在凸角周围膨胀进入真空

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-17 DOI:10.1016/j.cnsns.2025.108609

Fei Zhu

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引用次数: 0

摘要

本文研究了二维可压缩磁流体动力系统中Noble-Abel气体在真空中沿凸角的膨胀。与以往的研究不同，本文研究的是声速入射流，这是一个二维磁流体动力学方程的不连续边值问题。当u0=w0时，0点为奇点的技术难度就产生了。为了克服这一困难，我们首先为正则边值问题的各种解建立了一致的“内部”C0、C1计算，然后应用Arzela-Ascoli定理和常规对角化方法建立了普适Lipschitz连续解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Expansion of magnetic fluid around a convex corner into vacuum

In this paper, we study the expansion of Noble-Abel gas into the vacuum around a convex corner for the two-dimensional compressible magnetohydrodynamic system. Unlike previous studies, we study the incoming flow at sound speed, a discontinuous boundary value problem for a two-dimensional set of magnetohydrodynamic equations. When

u_{0} = w_{0}

, the technical difficulty of the

O

point being a singularity arises. To overcome this difficulty, we initially set up consistent “interior”

C^{0}

C^{1}

calculations for various solutions to the regularized boundary value issue, followed by applying the Arzela–Ascoli theorem and conventional diagonalization methods to develop universal Lipschitz continuous solutions.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.