Some remarks on a certain class of axisymmetric fluids of differential type

DOI10.1016/j.physd.2003.10.013zbMath1054.76006OpenAlexW2119849733MaRDI QIDQ1888026

Adriana Valentina Busuioc, Tudor S. Ratiu

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/129530

zbMATH Keywords

Lyapunov stability\(\alpha\)-Euler equationsAxisymmetric fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Optimal decay rate for higher-order derivatives of the solution to the Lagrangian-averaged Navier-Stokes-\(\alpha\) equation in \(\mathbb{R}^3\) ⋮ Incompressible Euler as a limit of complex fluid models with Navier boundary conditions ⋮ On the convergence rate of the Euler-\(\alpha \), an inviscid second-grade complex fluid, model to the Euler equations

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Anomalous features in the model of second order fluids
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Weak and classical solutions of a family of second grade fluids
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Stability and weak-strong uniqueness for axisymmetric solutions of the Navier-Stokes equations.
• Global well-posedness for the averaged Euler equations in two dimensions
• The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
• On the regularity of the axisymmetric solutions of the Navier-Stokes equations
• On second-grade fluids with vanishing viscosity
• Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics
• Note on global existence for axially symmetric solutions of the Euler system
• Remarks for the axisymmetric Navier--Stokes equations.
• Nonlinear stability of fluid and plasma equilibria
• Vorticity and Incompressible Flow
• EXISTENCE ET UNICITÉ DE SOLUTIONS POUR LE SYSTÈME DE NAVIER-STOKES AXISYMÉTRIQUE
• THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID
• The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids
• Remarks on axisymmetric solutions of the incompressible euler system
• The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
• An integrable shallow water equation with peaked solitons
• The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
• On an apriori estimate in the theory of hydrodynamical stability
• The Navier-Stokes-alpha model of fluid turbulence
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