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pro vyhledávání: '"76A05"'
For the doubly-degenerate parabolic non-Newtonian thin-film equation $$ u_t + \text{div}\bigl(u^n |\nabla \Delta u|^{p-2} \nabla \Delta u\bigr) = 0, $$ we derive (local versions) of Bernis estimates of the form $$ \int_{\Omega} u^{n-2p} |\nabla u|^{3
Externí odkaz:
http://arxiv.org/abs/2412.15883
We address the numerical challenge of solving the Hookean-type time-fractional Navier--Stokes--Fokker--Planck equation, a history-dependent system of PDEs defined on the Cartesian product of two $d$-dimensional spaces in the turbulent regime. Due to
Externí odkaz:
http://arxiv.org/abs/2411.17294
Autor:
Kaltenbach, Alex, Jeßberger, Julius
A finite element (FE) discretization for the steady, incompressible, fully inhomogeneous, generalized Navier-Stokes equations is proposed. By the method of divergence reconstruction operators, the formulation is valid for all shear stress exponents $
Externí odkaz:
http://arxiv.org/abs/2408.15731
Autor:
Fukao, Takeshi, Kashiwabara, Takahito
$H^2$-spatial regularity of stationary and non-stationary problems for Bingham fluids formulated with the pseudo-stress tensor is discussed. The problem is mathematically described by an elliptic or parabolic variational inequality of the second kind
Externí odkaz:
http://arxiv.org/abs/2404.18333
Autor:
Pollock, Sara, Scott, L. Ridgway
We explore the possibility of simulating the grade-two fluid model in a geometry related to a contraction rheometer, and we provide details on several key aspects of the computation. We show how the results can be used to determine the viscosity $\nu
Externí odkaz:
http://arxiv.org/abs/2404.03450
Autor:
Schmidt, Niko
Publikováno v:
Nonlinear Analysis: Real World Applications, Volume 81, February 2025, 104197
The Antarctic and Greenland ice sheet simulation is challenging due to unknown parameters in the $p$-Stokes equations. In this work, we prove the existence of a solution to a parameter identification for the ice rheology and the friction coefficient.
Externí odkaz:
http://arxiv.org/abs/2404.01766
Autor:
Berselli, Luigi C., Kaltenbach, Alex
In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations employing an implicit Euler step in time and a discretely inf-sup-stab
Externí odkaz:
http://arxiv.org/abs/2402.16606
Autor:
Tahraoui, Yassine, Cipriano, Fernanda
This work aims to investigate the well-posedness and the existence of ergodic invariant measures for a class of third grade fluid equations in bounded domain $D\subset\mathbb{R}^d,d=2,3,$ in the presence of a multiplicative noise. First, we show the
Externí odkaz:
http://arxiv.org/abs/2401.04566
Autor:
Cobb, Dimitri, Lacour, Geoffrey
In this article, we study a non-Newtonian Stokes-Transport system. This set of PDEs was introduced as a model for describing the behavior of a cloud of particles in suspension in a Stokes fluid, and is a nonlinear coupling between a hyperbolic equati
Externí odkaz:
http://arxiv.org/abs/2401.02599
We present a variational approach for the construction of Leray-Hopf solutions to the non-newtonian Navier-Stokes system. Inspired by the work [OSS18] on the corresponding Newtonian problem, we minimise certain stabilised Weighted Inertia-Dissipation
Externí odkaz:
http://arxiv.org/abs/2312.03546