Global Smooth Solutions With Large Data for a System Modeling Aurora Type Phenomena in the 2-Torus

DOI10.1137/19M1302739zbMath1462.35289arXiv1905.13270OpenAlexW3132614921MaRDI QIDQ4964801

Hermano Frid, João F. C. Nariyoshi, Daniel R. Marroquin

Publication date: 4 March 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13270

zbMATH Keywords

nonlinear Schrödinger equationcompressible MHD systemshort wave-long wave interactions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Foundations of fluid mechanics (76A02) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Global existence of strong and weak solutions to 2D compressible Navier-Stokes system in bounded domains with large data and vacuum ⋮ Global well-posedness of classical solution to the interactions between short-long waves with large initial data ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context

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