Time decay rates of non-Newtonian flows in \(\mathbf {R}^{n}_{+}\)

DOI10.1016/j.jmaa.2005.12.070zbMath1102.76014OpenAlexW2059718813MaRDI QIDQ852798

Bo-Qing Dong, Zhi Min Chen

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.070

zbMATH Keywords

weak solutionspectral decompositionLadyzhenskaya equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• Cauchy problem for the non-Newtonian viscous incompressible fluid
• Analysis of a Ladyzhenskaya model for incompressible viscous flow
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
• Geometric theory of semilinear parabolic equations
• On estimates in Hardy spaces for the Stokes flow in a half space
• Partial regularity of suitable weak solutions to the system of the incompressible non-Newtonian fluids
• \(L^2\) decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space.
• Large time behavior to the system of incompressible non-Newtonian fluids in \(\mathbb{R}^2\)
• Algebraic L2 decay for the solution to a class system of non-Newtonian fluid in Rn
• A solution formula for the Stokes equation in Rn+
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• Existence and regularity of solutions of non-Newtonian flow
• On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Decay rate for the incompressible flows in half spaces