首页|Approximations to Isentropic Planar Magneto-Hydrodynamics Equations by Relaxed Euler-Type Systems

Approximations to Isentropic Planar Magneto-Hydrodynamics Equations by Relaxed Euler-Type Systems

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In this paper,the authors consider an approximation to the isentropic pla-nar Magneto-hydrodynamics(MHD for short)equations by a kind of relaxed Euler-type system.The approximation is based on the generalization of the Maxwell law for non-Newtonian fluids together with the Maxwell correction for the Ampère law,hence the approximate system becomes a first-order quasilinear symmetrizable hyperbolic systems with partial dissipation.They establish the global-in-time smooth solutions to the approx-imate Euler-type equations in a small neighbourhood of constant equilibrium states and obtain the global-in-time convergence towards the isentropic planar MHD equations.In addition,they also establish the global-in-time error estimates of the limit based on stream function techniques and energy estimates for error variables.

Planar MHD equationsRelaxation limitsGlobal convergenceStream function

Yachun LI、Zhaoyang SHANG、Chenmu WANG、Liang ZHAO

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School of Mathematical Sciences,CMA-Shanghai,MOE-LSC and SHL-MAC,Shanghai Jiao Tong Uni-versity,Shanghai 200240,China

School of Finance,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China

School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China

School of Mathematical Sciences,Harbin Engineering University,Harbin 150001,China

Mathematical Modelling & Data Analytics Center,Oxford Suzhou Centre for Advanced Research,Suzhou 215123,Jiangsu,China

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国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金Fundamental Research Funds for the Central Universities and Shanghai Frontiers Science Center of Modern Analysis中国博士后科学基金

121611410041237122111831011123012772021M692089

2024

10.1007/s11401-024-0021-9

数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子：0.129
ISSN：0252-9599
年,卷(期)：2024.45(3)
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