1,721,115 research outputs found
Everywhere regularity of functionals with -growth.
No full textDiening L, Stroffolini B, Verde A. Everywhere regularity of functionals with φ-growth. Manuscripta Mathematica. 2009;129(4):449-481
Lipschitz regularity for some asymptotically convex problems
No full textDiening L, Stroffolini B, Verde A. Lipschitz regularity for some asymptotically convex problems. ESAIM. Control, Optimisation and Calculus of Variations. 2011;17(1):178-189
Partial regularity for minimizers of quasiconvex functionals with general growth
Full text linkWe prove a partial regularity result for local minimizers of quasiconvex
variational integrals with general growth. The main tool is an improved A-harmonic
approximation, which should be interesting also for classical growth
Existence of strong solutions for incompressible fluids with shear dependent viscosities
No full textCertain rheological behavior of non-Newtonian fluids in engineering sciences is often modeled by a power law ansatz with p (1, 2]. In the present paper the local in time existence of strong solutions is studied. The main result includes also the degenerate case (δ = 0) of the extra stress tensor and thus improves previous results of [L. Diening and M. Růžička, J. Math. Fluid Mech., 7 (2005), pp. 413-450]
Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities
No full textCertain rheological behaviors of fluids in engineering sciences are modeled by power law ansatz with p is an element of (1,2]. In the present paper a semi-implicit time discretization scheme for such fluids is proposed. The main result is the optimal O(k) error estimate, where k is the time step size. Our results hold in the range p is an element of (3/2, 2] ( in the three-dimensional setting) for strong solutions of the continuous problem, whose existence is guaranteed under appropriate assumptions on the data. The estimates are uniform with respect to the degeneracy parameter delta is an element of [0, delta_0] of the extra stress tensor. Additional regularity properties of the solution of the discrete problem are proved
On the finite element approximation of the p-Stokes problem
No full textIn this paper we study the finite element approximation of systems of p-Stokes type
for p∈(1,∞). We derive (in some cases optimal) error estimates for finite element approximation
of thevelocity and for the pressure in a suitable functional setting. The results are supported by
numerical experiments
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Parabolic Lipschitz truncation and Caloric Approximation
No full textWe develop an improved version of the parabolic Lipschitz truncation, which
allows qualitative control of the distributional time derivative and the
preservation of zero boundary values. As a consequence, we establish a new
caloric approximation lemma. We show functions. The distance is measured in
terms of spatial gradients as well as almost uniformly in time. Both results
are extended to the setting of Orlicz growth
The Maximal Operator
No full textDiening L, Harjulehto P, Hästö P, Růžička M. The Maximal Operator. In: Diening L, Harjuletho P, Hästö P, Ruzicka M, eds. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. Vol 2017. Berlin, Heidelberg: Springer ; 2011: 99-141
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