Hopf-bifurcation theorem and stability for the magneto-hydrodynamics equations
DOI:
https://doi.org/10.12775/TMNA.2015.055Słowa kluczowe
Magneto-hydrodynamics equations, periodic solution, Hopf bifurcation, stabilityAbstrakt
This paper is devoted to the study of the dynamical behavior for the 3D viscous Magneto-hydrodynamics equations. We first prove that this system under smooth external forces possesses time dependent periodic solutions, bifurcating from a steady solution. If the time periodic solution is smooth, then the linear stability of the time periodic solution implies nonlinear stability is obtained in $\textbf{L}^p$ for all $p\in(3,\infty)$.Pobrania
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2015-09-01
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YAN, Weiping. Hopf-bifurcation theorem and stability for the magneto-hydrodynamics equations. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2015, T. 46, nr 1, s. 471–493. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2015.055.
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