Electrorheological Fluids : Modeling and Mathematical Theory (Mathematical Analysis in Fluid and Gas Dynamics)

By M. Růžička. 2000

2,004 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/318f3ac9e1258dcca2a43761c4ed62c05b207669

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In Biomedical Engineering

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids (2006, background): “For more information on properties, modelling and the application of variable exponent spaces to these fluids we refer to [1, 4, 5, 10, 13, 20].”
Fredholmness of Singular Integral Operators with Piecewise Continuous Coefficients on Weighted Banach Function Spaces (2003, background): “Then the weighted Banach function space X w is a linear norm ed space which becom es a Banach function spacewheneverw 2 X and 1=w 2 X 0 (seeLem m a 2.5).”
Wulff shape characterizations in overdetermined anisotropic elliptic problems (2017, background): “For instance, in deformation theory of plasticity E and J represent the infinitesimal strain and stress [44, 50], respectively, for nonlinear dielectrics problems E and J are the electric field and current [19, 25, 34], respectively, and this types of laws arise also in fluid flows where E and J are”
Regularity of minimizers of vectorial integrals with p − q growth (2003, background): “It covers some interesting models in Fuids mechanics and in nonlinear elasticity, see [12,19] and applies also to weak solutions of nonlinear elliptic systems in divergence form n ∑”
Existence of solutions for p(x)-Laplacian problems on a bounded domain (2005, background): “In [19] icka presented the mathematical theory for the application of variable exponent spa electro-rheological fluids.”
Anisotropic parabolic equations with variable nonlinearity (2009, background): “1) and their elliptic counterparts appear in the mathematical descriptions of motions of the non-newtonian fluids [11], in particular, electro-rheological fluids which are characterized by their ability to change the mechanical properties under the influence of the exterior electro-magnetic field [2”
Solutions of nonlinear problems involving p(x)-Laplacian operator (2015, background): “Theseproblemsappear in themodelling of stationary thermo-rheological viscous ows of non-Newtonian uids, in themathematical description of the processes ltration of an ideal barotropic gas through a porousmedium and in the study of electrorheological uids or elastic mechanics [1, 2, 11, 16, 22].”