Attracting curves on families of stationary solutions in two‐dimensional Navier-Stokes and reduced magnetohydrodynamics
Attracting curves on families of stationary solutions in two‐dimensional Navier-Stokes and reduced magnetohydrodynamics
Families of stable stationary solutions of the two–dimensional incompressible homogeneous Euler and ideal reduced magnetohydrodynamic equations are shown to be attracting for the corresponding viscous perturbations of these systems, i.e. for the Navier–Stokes and the reduced viscous MHD equations with magnetic diffusion. Each solution curve of the dissipative system starting …