On unsteady flows of pore pressure-activated granular materials

DOI10.1007/s00033-020-01424-3zbMath1455.76199arXiv2003.06912OpenAlexW3110521599MaRDI QIDQ2219317

Ondřej Souček, Tomáš Los, Miroslav Bulíček, Anna Abbatiello, Josef Málek

Publication date: 19 January 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06912

zbMATH Keywords

weak solutionnon-Newtonian fluidlong-time existenceimplicit constitutive equationlarge-data existence

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Granular flows (76T25)

Cites Work

• On implicit constitutive theories.
• Bingham viscoplastic as a limit of non-Newtonian fluids
• Existence theorem for homogeneous incompressible Navier-Stokes equation with variable rheology
• On a class of generalized solutions to equations describing incompressible viscous fluids
• SOLENOIDAL LIPSCHITZ TRUNCATION FOR PARABOLIC PDEs
• HERSCHEL–BULKLEY FLUIDS: EXISTENCE AND REGULARITY OF STEADY FLOWS
• Navier's slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity
• Three-dimensional flows of pore pressure-activated Bingham fluids
• On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion
• On implicit constitutive theories for fluids

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