2,438 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
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]
A new proof of the boundedness of maximal operators on variable Lebesgue spaces
No full textCruz-Uribe D, Diening L, Fiorenza A. A new proof of the boundedness of maximal operators on variable Lebesgue spaces. Bollettino della Unione Matematica Italiana. Serie 9. 2009;2(1):151-173
Pressure-robust finite element discretizations of the nonlinear Stokes equations
No full textDiening L, Hirn A, Kreuzer C, Zanotti P. Pressure-robust finite element discretizations of the nonlinear Stokes equations. Mathematical Models and Methods in Applied Sciences. 2025:1-33.We present first-order nonconforming Crouzeix–Raviart discretizations for the nonlinear generalized Stokes equations with [Formula: see text]-structure. Thereby the velocity-errors are independent of the pressure-error; i.e. the method is pressure-robust. This improves suboptimal rates previously experienced for not pressure-robust methods.</p
Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces and
No full textDiening L. Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces and . Mathematische Nachrichten. 2004;268(1):31-43
Maximal function on generalized Lebesgue spaces
No full textDiening L. Maximal function on generalized Lebesgue spaces . Mathematical Inequalities & Applications. 2004;7(2):245-253
Convergence Analysis for a Finite Element Approximation of a Steady Model for Electrorheological Fluids
Full text linkIn this paper we study the finite element approximation of systems of p(.)-Stokes type, where p(.) is not a constant but a function. We derive (in some cases optimal) error estimates for finite element approximation of the velocity and for the pressure in a suitable functional setting
Strong solutions for generalized Newtonian fluids
No full textDiening L, Růžička M. Strong solutions for generalized Newtonian fluids. Journal of Mathematical Fluid Mechanics. 2005;7(3):413-450
Linear convergence of an adaptive finite element method for the -Laplacian equation
No full textDiening L, Kreuzer C. Linear convergence of an adaptive finite element method for the -Laplacian equation. SIAM Journal on Numerical Analysis. 2008;46(2):614-638
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