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- Title
Approximations to Isentropic Planar Magneto-Hydrodynamics Equations by Relaxed Euler-Type Systems.
- Authors
Li, Yachun; Shang, Zhaoyang; Wang, Chenmu; Zhao, Liang
- Abstract
In this paper, the authors consider an approximation to the isentropic planar 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 approximate 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.
- Subjects
MAGNETOHYDRODYNAMICS; EULER equations; STREAM function; NON-Newtonian fluids; EQUATIONS; ENERGY function; ESTIMATION theory
- Publication
Chinese Annals of Mathematics, 2024, Vol 45, Issue 3, p413
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-024-0021-9