Global Smooth Solutions for the Zakharov System with Quantum Effects in Two Space Dimensions

DOI10.1515/ans-2014-0310zbMath1305.35145OpenAlexW2513030354MaRDI QIDQ2923160

Ting Zhong, Zai-Hui Gan, Bo-ling Guo

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0310

zbMATH Keywords

existenceuniquenessglobal solutionZakharov systemquantum effects

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Cites Work

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• Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma
• Existence of solitary waves in higher dimensions
• Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II
• On the Cauchy problem for the Zakharov system
• On the analytical theory for stationary self-focusing of radiation
• On the 2D Zakharov system withL²Schrödinger data
• Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension

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