Advanced Studies in Pure Mathematics

Existence of global smooth solutions to the Cauchy problem of bipolar Navier–Stokes–Maxwell system

Shu Wang, Yuehong Feng, and Xin Li

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Abstract

This work is concerned with smooth periodic solutions for the compressible Navier–Stokes equations coupled with the Maxwell equations through the Lorentz force. The existence and uniqueness of the global smooth solution is established by using energy method.

Article information

Source
Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 347-355

Dates
Received: 3 January 2012
First available in Project Euclid: 30 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540934232

Digital Object Identifier
doi:10.2969/aspm/06410347

Mathematical Reviews number (MathSciNet)
MR3381221

Zentralblatt MATH identifier
1335.35187

Subjects
Primary: 35A01: Existence problems: global existence, local existence, non-existence 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 35Q35: PDEs in connection with fluid mechanics 35Q61: Maxwell equations

Keywords
Bipolar Navier–Stokes–Maxwell system global smooth solution interpolation inequality

Citation

Wang, Shu; Feng, Yuehong; Li, Xin. Existence of global smooth solutions to the Cauchy problem of bipolar Navier–Stokes–Maxwell system. Nonlinear Dynamics in Partial Differential Equations, 347--355, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410347. https://projecteuclid.org/euclid.aspm/1540934232


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