ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS

DOI10.1142/S0218202508002954zbMath1152.35332OpenAlexW2144188070MaRDI QIDQ3529191

Piotr Gwiazada, Agnieszka Świerczewska-Gwiazada

Publication date: 20 October 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202508002954

zbMATH Keywords

Young measuresnonstandard growthgeneralized Orlicz spacesmagnetorheological fluidsmodular convergencerapidly shear thickening

Mathematics Subject Classification ID

Related Items (46)

Measure data elliptic problems with generalized Orlicz growth ⋮ Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon ⋮ Existence of solutions for Kirchhoff type problems in Musielak-Orlicz-Sobolev spaces ⋮ Analysis of a viscosity model for concentrated polymers ⋮ Quasilinear elliptic systems with nonlinear physical data ⋮ Parabolic Equations in Anisotropic Orlicz Spaces with General N-functions ⋮ A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ An inequality of type Poincaré in Musielak spaces and application to some non-linear elliptic problems with data ⋮ Strongly nonlinear elliptic boundary value problems in Musielak-Orlicz spaces ⋮ Nonlinear unilateral parabolic problems in Musielak-Orlicz spaces with \(L^1\) data ⋮ Nonlinear unilateral problems without sign condition in Musielak spaces ⋮ Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space ⋮ On steady flow of non-Newtonian fluids with frictional boundary conditions in reflexive Orlicz spaces ⋮ Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces ⋮ Elliptic problems in generalized Orlicz-Musielak spaces ⋮ Weak solvability of nonlinear elliptic equations involving variable exponents ⋮ Frictional Contact Problems for Steady Flow of Incompressible Fluids in Orlicz Spaces ⋮ A direct proof of existence of weak solutions to elliptic problems ⋮ Singular two-phase problem on a complete manifold: analysis and insights ⋮ Weakly compact sets and Riesz representation theorem in Musielak sequence spaces ⋮ Local Morrey estimate in Musielak-Orlicz-Sobolev space ⋮ Structural Stability of p(x)-Laplace Problems with Robin-Type Boundary Condition ⋮ Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces ⋮ Necessary optimality conditions of an optimization problem governed by a double phase PDE ⋮ Variational nonlinear elliptic equations in nonreflexive Musielak spaces ⋮ Nonlinear parabolic problems in Musielak-Orlicz spaces ⋮ Non-Newtonian fluids with discontinuous-in-time stress tensor ⋮ Homogenization of nonlinear elliptic systems in nonreflexive Musielak–Orlicz spaces ⋮ On renormalized solutions to elliptic inclusions with nonstandard growth ⋮ Unsteady flows of heat-conducting non-Newtonian fluids in Musielak–Orlicz spaces ⋮ Rothe's method for a nonlinear parabolic problem in Musielak–Orlicz spaces ⋮ Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations ⋮ Steady flow of non-Newtonian fluids - monotonicity methods in generalized Orlicz spaces ⋮ Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems ⋮ Partial regularity of a certain class of non-Newtonian fluids ⋮ Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions ⋮ Existence of solutions for some nonlinear elliptic problems involving Minty's lemma ⋮ Elliptic inequalities with lower-order terms and \(L^1\) data in Musielak-Orlicz spaces ⋮ Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces ⋮ Inertial energy dissipation for weak solution of electrorheological fluids ⋮ On the limit of some penalized problems in Musielak spaces without \(\Delta_2\)-condition ⋮ Existence results for double phase obstacle problems with variable exponents ⋮ Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces ⋮ Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon ⋮ Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces ⋮ Strongly nonlinear elliptic unilateral problems without sign condition and with free obstacle in Musielak-Orlicz spaces

Cites Work

• Unnamed Item
• Orlicz spaces and modular spaces
• A thermodynamic model for magnetorheological fluids
• Electrorheological fluids: modeling and mathematical theory
• Inhomogeneous Orlicz-Sobolev spaces and nonlinear parabolic initial value problems
• Mathematical modeling of magnetorheological fluids
• HERSCHEL–BULKLEY FLUIDS: EXISTENCE AND REGULARITY OF STEADY FLOWS
• On elliptic and parabolic systems withx-dependent multivalued graphs
• ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
• On implicit constitutive theories for fluids
• Parabolic Equations in Orlicz Spaces

This page was built for publication: ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS