Attracting curves on families of stationary solutions in two‐dimensional Navier-Stokes and reduced magnetohydrodynamics

DOI10.1098/RSPA.1998.0214zbMath0923.76349OpenAlexW2140500754MaRDI QIDQ4223967

Gianne Derks, Tudor S. Ratiu

Publication date: 6 January 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/129496

zbMATH Keywords

dissipative solutionviscous perturbationsdissipative perturbations of Hamiltonian systemsshadowing curvetwo-dimensional incompressible homogeneous Euler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Stationary solutions for forced reduced MHD on the 2-torus

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