Abstract
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.
基金项目
国家自然科学基金(12161141004)
国家自然科学基金(12371221)
国家自然科学基金(11831011)
国家自然科学基金(12301277)
Fundamental Research Funds for the Central Universities and Shanghai Frontiers Science Center of Modern Analysis()
中国博士后科学基金(2021M692089)
NETL
NSTL
万方数据