Abstract
In this chapter, we shall study the global existence and large-time behavior H i-global solutions (i = 1, 2, 4) to the 1D MHD compressible system. The MHD system describes the interaction between intense magnetic fields and fluid conductors of electricity (see, e.g., [70]). The appearance of the electrically conducting fields grants this system with physically theoretic background of astrophysics, plasma physics, etc.
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Qin, Y., Liu, X., Wang, T. (2015). Global Existence and Asymptotic Behavior of Solutions to the Cauchy Problem for the 1D Compressible Magnetohydrodynamic Fluid System. In: Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations. Frontiers in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0594-0_1
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DOI: https://doi.org/10.1007/978-3-0348-0594-0_1
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0593-3
Online ISBN: 978-3-0348-0594-0
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