Dispersive limit for the pressureless two-fluid Euler-Poisson system

DOI10.1016/j.aml.2020.106696zbMath1451.35131OpenAlexW3056298892MaRDI QIDQ2006369

Min Li

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106696

zbMATH Keywords

long wavelength limituniform energy methodpressureless two-fluid Euler-Poisson system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of plasmas (82D10) Electromagnetic theory (general) (78A25) Nuclear reactor theory; neutron transport (82D75) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Liquid-liquid two component flows (76T06)

Cites Work

• KDV limit of the hydromagnetic waves in cold plasma
• The Cauchy problem for the 3D Zakharov-Kuznetsov equation
• Small amplitude limit of solitary waves for the Euler-Poisson system
• KdV limit of the Euler-Poisson system
• Dispersive Limit of the Euler--Poisson System in Higher Dimensions
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Long Wavelength Limit for the Quantum Euler--Poisson Equation