Cauchy problem and vanishing dispersion limit for Schrödinger-improved Boussinesq equations

DOI10.1016/j.jmaa.2020.123857zbMath1433.35361OpenAlexW3000722996MaRDI QIDQ2304306

Tohru Ozawa, Jishan Fan

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123857

zbMATH Keywords

well-posednessSchrödinger equationimproved Boussinesq equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order quasilinear hyperbolic equations (35L72)

Related Items (3)

Schrödinger-improved Boussinesq system in two space dimensions ⋮ Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions ⋮ Active control of an improved Boussinesq system

Cites Work

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• A short review of scattering for the Schrödinger-improved Boussinesq system
• Existence and smoothing effect of solutions for the Zakharov equations
• The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
• Cauchy problem of Schrödinger-improved Boussinesq systems on the torus
• Global existence on nonlinear Schrödinger-IMBq equations
• Cauchy problem for the nonlinear Schrödinger-IMBq equations
• The Zakharov System and its Soliton Solutions
• Well-posedness for the Schroedinger-Improved Boussinesq System and Related Bilinear Estimates
• Commutator estimates and the euler and navier-stokes equations

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