Some remarks on the blow-up rate for the 3D magnetic Zakharov system

DOI10.1016/j.jfa.2015.07.010zbMath1332.35049OpenAlexW2192476656MaRDI QIDQ490721

Yansheng Ma, Ting Zhong, Zai-Hui Gan

Publication date: 28 August 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.07.010

zbMATH Keywords

space-time integral estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Blow-up in context of PDEs (35B44)

Related Items (3)

Blowup result for a type of generalized Zakharov system ⋮ Unnamed Item ⋮ Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma

Cites Work

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• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Exponential sums and nonlinear Schrödinger equations
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• Existence and smoothing effect of solutions for the Zakharov equations
• The Cauchy problem for a generalized Zakharov system
• Periodic nonlinear Schrödinger equation and invariant measures
• On the Cauchy problem for the Zakharov system
• Blow-up results of virial type for Zakharov equations
• Blow-up and nonlinear instability for the magnetic Zakharov system
• A Result on the Blow-up Rate for the Zakharov System in Dimension 3

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