NLS approximation of the Euler-Poisson system for a cold ion-acoustic plasma
From MaRDI portal
Publication:6140096
DOI10.1016/j.jde.2023.09.035OpenAlexW4387629762MaRDI QIDQ6140096
Huimin Liu, Dong-fen Bian, Xue-ke Pu
Publication date: 19 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.09.035
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs of mixed type (35M10) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Unnamed Item
- Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth
- From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov
- Global smooth ion dynamics in the Euler-Poisson system
- Justification of the NLS approximation for a quasilinear water wave model
- On the long-wave approximation for the Euler-Poisson system
- Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation
- Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation
- Justification of the NLS approximation for the Euler-Poisson equation
- Justification of the nonlinear Schrödinger approximation for a quasilinear Klein-Gordon equation
- KdV limit of the Euler-Poisson system
- Derivation of the mKdV equation from the Euler-Poisson system at critical densities
- The long-wave limit for the water wave problem I. The case of zero surface tension
- Dispersive Limit of the Euler--Poisson System in Higher Dimensions
- The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
- Validity of the Korteweg-de Vries approximation for the two-dimensional water wave problem in the arc length formulation
- Justification of the nonlinear Schroedinger equation for a resonant Boussinesq model
- Long Wavelength Limit for the Quantum Euler--Poisson Equation
- Validity of the nonlinear Schrödinger approximation for quasilinear dispersive systems with more than one derivative