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math.AP2018★ 4 cited
Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multi-Dimensional Large MHD Flows
Hermano Frid, Daniel R. Marroquin, Ronghua Pan
We establish the convergence of an approximation scheme to a model for aurora type phenomena. The latter, mathematically, means a system describing the short wave-long wave (SW-LW)…
math.AP2018★ 5 cited
Vanishing Viscosity Limit of Short Wave-Long Wave Interactions in Planar Magnetohydrodynamics
Daniel R. Marroquin
We study several mathematical aspects of a system of equations modelling the interaction between short waves, described by a nonlinear Schrödinger equation, and long waves, describ…