<p>This paper is concerned with the global non-relativistic quasi-neutral limit of a two-fluid non-isentropic Euler-Maxwell system for plasmas. We consider the Cauchy problem in the whole space <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^3\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mn>3</mn> </msup> </math></EquationSource> </InlineEquation> and rigorously justify the convergence to a compressible non-isentropic Euler system. The analysis is carried out for smooth solutions whose initial data are sufficiently close to constant equilibrium states. The proof relies on uniform-in-time energy estimates and various dissipative estimates with respect to both the small parameters and the time.</p>

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Global Combined Limit for a Two-Fluid Non-Isentropic Euler-Maxwell System with Dissipation

  • Yan-Ping Yang,
  • Wan-Di Lu,
  • Yong-Fu Yang

摘要

This paper is concerned with the global non-relativistic quasi-neutral limit of a two-fluid non-isentropic Euler-Maxwell system for plasmas. We consider the Cauchy problem in the whole space \(\mathbb {R}^3\) R 3 and rigorously justify the convergence to a compressible non-isentropic Euler system. The analysis is carried out for smooth solutions whose initial data are sufficiently close to constant equilibrium states. The proof relies on uniform-in-time energy estimates and various dissipative estimates with respect to both the small parameters and the time.