Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

By M. Fuchs, G A Seregin. 2001

277 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Theory and Mathematics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/c499c9c002c5c11f2422a3c196ab6f77be649d94

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In Biomedical Engineering

In Computational Theory and Mathematics

In Fluid Flow and Transfer Processes

Citations in the corpus

On the structure of A-free measures and applications (2016, background): “Further, in [44], [20], [13] it is motivated why the space”
Sharp regularity for functionals with (p,q) growth (2004, background): “In particular functionals as F2, F3 and F4, described below, arise in different contexts from fluidynamics and homogenization (see for instance the comments in [41]-[45] and the book [52], chapter 2; moreover see [29] and the additional comments in Remark 5 of Section 4 of this paper).”
On stationary thermo-rheological viscous flows (2006, background): “tromagnetic field being known, the growth exponent dependence became a given variable function p(x), which under smoothness conditions yields regularity results for the respective weak solutions (see [1], [4]), similarly to the generalized Newtonian fluids [ 14 ] and [5].”
Navier–Stokes Equations with Shear Thinning Viscosity. Regularity up to the Boundary (2009, background): “Concerning local regularity, or existence and local regularity for boundary value problems (including the space-periodic case) under the assumptions p < 2 and n ≥ 3, we refer the reader to [1], [2], [?] [11], [12], [15], [17], [18], [20], [25], [29] and references therein.”
A NUMERICAL SOLUTION METHOD FOR AN INFINITESIMAL ELASTO-PLASTIC COSSERAT MODEL (2007, background): “4) Note that for the first time step n = 1 and εp = 0, μc = 0, Lc = 0 the functional I(1) incr(u, 0̄) reduces to the primal plastic functional of static perfect plasticity (Hencky plasticity).(25,60,69) Proof.”
Embeddings for A-weakly differentiable functions on domains (2017, methodology): “, for A = E ; see [23, 47, 49]) and is achieved by a careful application of the Riesz–Kolmogorov criterion.”