On Short Wave-Long Wave Interactions in the Relativistic Context

DOI10.4208/cmaa.2021-0006arXiv2104.12849MaRDI QIDQ6133778

João-Paulo Dias, Hermano Frid

Publication date: 21 August 2023

Published in: Communications in Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12849

zbMATH Keywords

Klein-Gordon equationDirac equationrelativistic Burgers equationshort wave-long wave interactionABI equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hyperbolic conservation laws (35L65) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global smooth solutions in \(\mathbb{R}^3\) to short wave-long wave interactions in magnetohydrodynamics
• Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension
• A soluble relativistic field theory
• Vanishing viscosity with short wave-long wave interactions for systems of conservation laws
• Time decay for the solutions of a nonlinear Dirac equation in one space dimension
• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• On the Majorana condition for nonlinear Dirac systems
• Vanishing viscosity limit of short wave-long wave interactions in planar magnetohydrodynamics
• On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
• Hydrodynamic structure of the augmented Born-Infeld equations
• Classical solutions to relativistic Burgers equations in FLRW space-times
• The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
• Global Smooth Solutions in $\mathbb{R}^3$ to Short Wave-Long Wave Interactions Systems for Viscous Compressible Fluids
• Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation
• Short Wave–Long Wave Interactions for Compressible Navier–Stokes Equations
• EXISTENCE OF WEAK SOLUTIONS FOR A QUASILINEAR VERSION OF BENNEY EQUATIONS
• Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
• A General Theory for Interactions Between Short and Long Waves
• Well-posedness of the cauchy problem for the long wave-short wave resonance equations
• Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions
• Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multidimensional Large Magnetohydrodynamic Flows
• Global Smooth Solutions With Large Data for a System Modeling Aurora Type Phenomena in the 2-Torus
• The incompleteness of the Born-Infeld model for non-linear multi-d Maxwell’s equations
• Hyperbolic Conservation Laws in Continuum Physics

This page was built for publication: On Short Wave-Long Wave Interactions in the Relativistic Context