2020Advances in Mathematical PhysicsOpen access

Blowup of Solutions to the Compressible Euler-Poisson and Ideal MHD Systems

Wenming Hu

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Abstract

In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.

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In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.

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Available abstract

In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson system with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite time blowup results can be derived.

Key concepts: Euler's formula, Compressibility, Euler equations, Mathematics, Poisson distribution, Ideal (ethics), Type (biology), Mathematical analysis

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