KdV-type equation limit for ion dynamics system
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Publication:2032115
DOI10.3934/cpaa.2021037zbMath1471.35241OpenAlexW3136090669MaRDI QIDQ2032115
Publication date: 16 June 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021037
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Cites Work
- From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov
- Global smooth ion dynamics in the Euler-Poisson system
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- On the (generalized) Korteweg-de Vries equation
- On solitons, compactons, and Lagrange maps.
- KdV limit of the Euler-Poisson system
- 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
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Compactons: Solitons with finite wavelength
- Envelope Solitons versus Solitons
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- New Solutions to Generalized mKdV Equation
- Introduction to nonlinear dispersive equations
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