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Formation of singularities for a linearly degenerate hyperbolic system arising in magnetohydrodynamics

open access: yesAdvances in Nonlinear Analysis
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
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Well-posedness for physical vacuum free boundary problem of compressible Euler equations with time-dependent damping

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the well-posedness of the local smooth solutions to the physical vacuum free boundary problem of the cylindrical symmetric Euler equations with time-dependent damping −μ(1+t)λρu-\frac{\mu }{{(1+t)}^{\lambda }}\rho {\bf{u}}, μ>
Li Haitong, Mai La-Su, Wang Shiyu
doaj   +1 more source

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