Non-viscous regularization of the Davey-Stewartson equations: Analysis and modulation theory
DOI10.1063/1.4960047zbMath1346.35045arXiv1605.01804OpenAlexW3098565834MaRDI QIDQ2820867
Yanqiu Guo, Irma Hacinliyan, Edriss S. Titi
Publication date: 12 September 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01804
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Linear operators and ill-posed problems, regularization (47A52) Blow-up in context of PDEs (35B44) Systems of nonlinear higher-order PDEs (35G50) Initial value problems for systems of linear higher-order PDEs (35G40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Almost cubic nonlinear Schrödinger equation: existence, uniqueness and scattering
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves
- Wave collapse in a class of nonlocal nonlinear Schrödinger equations
- On the initial value problem for the Davey-Stewartson systems
- Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation
- Modulation Theory for Self-Focusing in the Nonlinear Schrödinger–Helmholtz Equation
- On the existence of standing waves for a davey–stewartson system
- On two-dimensional packets of capillary-gravity waves
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- On three-dimensional packets of surface waves
- Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
- Non-stationary flow of an ideal incompressible liquid
This page was built for publication: Non-viscous regularization of the Davey-Stewartson equations: Analysis and modulation theory