Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Ružička, Michael"'
We investigate sufficient H\"older continuity conditions on Leray-Hopf (weak) solutions to the in unsteady Navier-Stokes equations in three dimensions guaranteeing energy conservation. Our focus is on the half-space case with homogeneous Dirichlet bo
Externí odkaz:
http://arxiv.org/abs/2408.05077
Autor:
Kaltenbach, Alex, Růžička, Michael
In this paper, we derive quasi-optimal a priori error estimates for the kinematic pressure for a Local Discontinuous Galerkin (LDG) approximation of steady systems of $p$-Navier-Stokes type in the case of shear-thickening, i.e., in the case $p>2$, im
Externí odkaz:
http://arxiv.org/abs/2402.03056
Autor:
Jeßberger, Julius, Růžička, Michael
We consider the question of existence of weak solutions for the fully inhomogeneous, stationary generalized Navier-Stokes equations for homogeneous, shear-thinning fluids. For a shear rate exponent $p \in \big(\tfrac{2d}{d+1}, 2\big)$, previous resul
Externí odkaz:
http://arxiv.org/abs/2306.07094
Autor:
Kaltenbach, Alex, Růžička, Michael
In this paper, we consider a fully-discrete approximation of an abstract evolution equation deploying a non-conforming spatial approximation and finite differences in time (Rothe-Galerkin method). The main result is the convergence of the discrete so
Externí odkaz:
http://arxiv.org/abs/2212.06648
Autor:
Kaltenbach, Alex, Růžička, Michael
In the present paper, we prove convergence rates for the pressure of the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, of systems of $p$-Navier-Stokes type and $p$-Stokes type with $p\in (2,\infty)$. The results a
Externí odkaz:
http://arxiv.org/abs/2210.06985
Autor:
Kaltenbach, Alex, Růžička, Michael
In the present paper, we prove convergence rates for the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, for systems of $p$-Navier-Stokes type and $p$-Stokes type with $p\in (2,\infty)$. The convergence rates are op
Externí odkaz:
http://arxiv.org/abs/2208.04107
Autor:
Kaltenbach, Alex, Růžička, Michael
In the present paper, we propose a Local Discontinuous Galerkin (LDG) approximation for fully non-homogeneous systems of $p$-Navier-Stokes type. On the basis of the primal formulation, we prove well-posedness, stability (a priori estimates), and weak
Externí odkaz:
http://arxiv.org/abs/2208.04106
Autor:
Kaltenbach, Alex, Růžička, Michael
In this paper, we investigate a Local Discontinuous Galerkin (LDG) approximation for systems with balanced Orlicz-structure. We propose a new numerical flux, which yields optimal convergence rates for linear ansatz functions. In particular, our appro
Externí odkaz:
http://arxiv.org/abs/2204.09984
Autor:
Berselli, Luigi C., Růžička, Michael
In this paper we consider nonlinear problems with an operator depending only on the deformation tensor. We consider the class of operators derived from a potential and with $(p,\delta)$ structure, for $1
Externí odkaz:
http://arxiv.org/abs/2112.12225
Autor:
Kaltenbach, Alex, Růžička, Michael
In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids. The
Externí odkaz:
http://arxiv.org/abs/2112.08026