New differential equation model for hydrodynamics with memory effects

DOI10.1016/S0034-4877(01)80022-7zbMath1015.76003WikidataQ115339964 ScholiaQ115339964MaRDI QIDQ5942383

A. S. Makarenko

Publication date: 29 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

chaoshydrodynamic equationsblow-up solutionsdimensions of attractorsmemory effects

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Foundations of fluid mechanics (76A02)

Related Items (4)

On the stability of some exact solutions to the generalized convection-reaction-diffusion equation ⋮ On the stability of kink-like and soliton-like solutions of the generalized convection-reaction-diffusion equation ⋮ Linearizability and nonlocal superposition for nonlinear transport equation with memory ⋮ Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• A five-dimensional truncation of the plane incompressible Navier-Stokes equations
• On models with non-rough Poincaré homoclinic curves
• On blow-up solutions in turbulence.
• soliton scattering: the collective coordinate approximation
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