Global existence and uniqueness of solutions to the equations of second-grade fluids

DOI10.1016/S1631-073X(02)02187-8zbMath1004.76003OpenAlexW2726205532MaRDI QIDQ1598517

Dragoş Iftimie

Publication date: 6 February 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02187-8

zbMATH Keywords

weak convergenceweak solutionNavier-Stokes equationssecond-grade fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
• Weak and classical solutions of a family of second grade fluids
• The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
• On second-grade fluids with vanishing viscosity
• Further existence results for classical solutions of the equations of a second-grade fluid
• THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID
• Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations

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