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Abstract <p> In this work, we discuss a characteristic decomposition of a perfectly conducting,compressible and inviscid flow governed by <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10625_2025_2820_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(2\)</EquationSource> </InlineEquation>-D isentropic Eulersystem in magnetohydrodynamics within the context of a general equation of state. Thisdecomposition allows us to imply that a simple wave region exists adjacent to a constant region,regardless the coefficients depending on independent variables. Moreover, aforementioned resultholds true to full Euler system in magnetohydrodynamics throughout a region whosecharacteristics are extended to a constant state.</p>

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A Note on Simple Wave Solution for Magnetohydrodynamic System with General Equation of State

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • H. Srivastava,
  • M. Zafar

摘要

Abstract

In this work, we discuss a characteristic decomposition of a perfectly conducting,compressible and inviscid flow governed by \(2\) -D isentropic Eulersystem in magnetohydrodynamics within the context of a general equation of state. Thisdecomposition allows us to imply that a simple wave region exists adjacent to a constant region,regardless the coefficients depending on independent variables. Moreover, aforementioned resultholds true to full Euler system in magnetohydrodynamics throughout a region whosecharacteristics are extended to a constant state.