C?-Regularity for the Porous Medium Equation.
Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin's condition
Let u be a weak solution of the Navier-Stokes equations in a smooth bounded domain Ω ⊆ ℝ³ and a time interval [0,T), 0 < T ≤ ∞, with initial value u₀, external force f = div F, and viscosity ν > 0. As is well known, global regularity of u for general u₀ and f is an unsolved problem unless we pose additional assumptions on u₀ or on the solution u itself such as Serrin’s condition where 2/s + 3/q = 1. In the present paper we prove several local and global regularity properties by using assumptions...
Czech-Japanese Seminar in Applied Mathematics 2008
The Special Issue of Kybernetika is devoted to the publication of selected peer-reviewed articles submitted by the participants of the Czech-Japanese Seminar in Applied Mathematics 2008 which took place on September 1-7, 2008 in Takachi-ho and Miyazaki, Japan. The Czech-Japanese Seminar in Applied Mathematics 2008 was organized by the Department of Applied Physics, Faculty of Engineering, University of Miyazaki. It was the fourth meeting in the series of the Czech-Japanese Seminars in Applied Mathematics....
Damping of waves due to a soluble film.
Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition.
Darcy's law in anisothermic porous medium.
Darcy-type law associated to an optimal control problem.
Decay estimates for the compressible Navier-Stokes equations in unbounded domains.
Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation.
Decay of solutions to equations modelling incompressible bipolar non-Newtonian fluids.
Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain
Décomposition en profils pour les solutions des équations de Navier-Stokes
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
Deduzione della teoria dei fluidi maxwelliani dalla termodinamica dei sistemi continui
Definite magnetofluid scheme in general relativity
Definite material scheme in relativistic magnetohydrodynamics
Degenerate two-phase incompressible flow problems III: Perturbation analysis and numerical experiments.
Dense Granular Poiseuille Flow
We consider a dense granular shear flow in a two-dimensional system. Granular systems (composed of a large number of macroscopic particles) are far from equilibrium due to inelastic collisions between particles: an external driving is needed to maintain the motion of particles. Theoretical description of driven granular media is especially challenging for dense granular flows. This paper focuses on a gravity-driven dense granular Poiseuille flow...
Density-dependent incompressible fluids with non-Newtonian viscosity
We study the system of PDEs describing unsteady flows of incompressible fluids with variable density and non-constant viscosity. Indeed, one considers a stress tensor being a nonlinear function of the symmetric velocity gradient, verifying the properties of -coercivity and -growth, for a given parameter . The existence of Dirichlet weak solutions was obtained in [2], in the cases if or if , being the dimension of the domain. In this paper, with help of some new estimates (which lead...
Der Widerstand Eines Ellipsoides Bei Der Bewegung In Richtung Der Rotationsachse In Einer Rotierenden Flüssigkeit