On the motion of shear-thinning heat-conducting incompressible fluid-rigid system

DOI10.1007/s10255-018-0767-5zbMath1403.35202OpenAlexW2574035439WikidataQ129382186 ScholiaQ129382186MaRDI QIDQ1782030

G. Richomme

Publication date: 18 September 2018

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-018-0767-5

zbMATH Keywords

shear-thinningsuitable weak solutionheat-conducting incompressible fluid

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs of mixed type (35M10) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Cites Work

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• Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder
• Asymptotic stability for one-dimensional motion of non-Newtonian compressible fluids
• Analyticity of the semigroup associated with the fluid-rigid body problem and local existence of strong solutions
• Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data
• Existence of weak solutions for the motion of rigid bodies in a viscous fluid
• Solvability of the problem of the self-propelled motion of several rigid bodies in a viscous incompressible fluid
• Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
• Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids
• On the motion of several rigid bodies in an incompressible non-Newtonian fluid

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