The Cauchy problem for Schrödinger-damped Boussinesq system
DOI10.1016/J.JMAA.2020.124639zbMath1458.35355OpenAlexW3091027839MaRDI QIDQ2227586
Publication date: 15 February 2021
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.2020.124639
PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
- Local and global solutions for the non-linear Schrödinger-Boussinesq system.
- Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation
- Remarks on some dispersive estimates
- On fractional Schrödinger equations in Sobolev spaces
- The global solution of initial value problem for nonlinear Schrödinger- Boussinesq equation in 3-dimensions
- Asymptotic behavior of solutions for initial-boundary value problems for strongly damped nonlinear wave equations
- On the periodic Schrödinger-Boussinesq system
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Finite dimensional global attractor for dissipative Schrödinger-Boussinesq equations
- The Cauchy problem for the dissipative Boussinesq equation
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Global well-posedness for the fractional Schrödinger-Boussinesq system
- Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations
- Orbital stability of solitary waves of the Schrödinger-Boussinesq equation
- On Schrödinger-Boussinesq equations
- On global solution of nonlinear hyperbolic equations
- Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
- Endpoint Strichartz estimates
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Conservative finite difference methods for fractional Schrödinger–Boussinesq equations and convergence analysis
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
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