Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 347 - 355
Existence of global smooth solutions to the Cauchy problem of bipolar Navier–Stokes–Maxwell system
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.
Received: 3 January 2012
First available in Project Euclid: 30 October 2018
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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
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