Regularity up to the boundary of solutions to boundary-value problems of the theory of generalized Newtonian liquids

DOI10.1007/BF02433444zbMath0949.35115OpenAlexW2087141599MaRDI QIDQ1575973

T. N. Shilkin

Publication date: 24 August 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02433444

zbMATH Keywords

regularity of the strain velocity tensorstationary flow of a generalized Newtonian liquid

Mathematics Subject Classification ID

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

Related Items (2)

Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space ⋮ Non-isothermal non-Newtonian fluids: The stationary case

Cites Work

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• On differential properties of extremals of variational problems of the mechanics of viscoplastic media
• Regularity for minimizers of some variational problems in plasticity theory
• Regularity results for the quasi-static Bingham variational inequality in dimensions two and three
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Comments on the validity of a common category of constitutive equations
• Some Remarks on Non-Newtonian Fluids Including Nonconvex Perturbations of the Bingham and Powell–Eyring Model for Viscoplastic Fluids

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