On measure solutions to the zero-pressure gas model and their uniqueness
On mhd flow of a viscous fluid past an infinite plate with time-dependent suction (I).
On MHD fluctuating flow in slip-flow regime with variable suction
On modeling flow between adjacent surfaces where the fluid is governed by implicit algebraic constitutive relations
We consider pressure-driven flow between adjacent surfaces, where the fluid is assumed to have constant density. The main novelty lies in using implicit algebraic constitutive relations to describe the fluid's response to external stimuli, enabling the modeling of fluids whose responses cannot be accurately captured by conventional methods. When the implicit algebraic constitutive relations cannot be solved for the Cauchy stress in terms of the symmetric part of the velocity gradient, the traditional...
On modelling the drying of porous materials: Analytical solutions to coupled partial differential equations governing heat and moisture transfer.
On noncompact free boundary problems for the plae stationary Navier-Stokes equations.
On non-homogeneous viscous incompressible fluids. Existence of regular solutions
We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an initial time. Our purpose is to prove that, when is smooth enough, there exists a local strong regular solution (which is global for small regular data).
On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations
In this paper, a Dirichlet-Neumann substructuring domain decomposition method is presented for a finite element approximation to the nonlinear Navier-Stokes equations. It is shown that the Dirichlet-Neumann domain decomposition sequence converges geometrically to the true solution provided the Reynolds number is sufficiently small. In this method, subdomain problems are linear. Other version where the subdomain problems are linear Stokes problems is also presented.
On nonperturbative techniques for thermal radiation effect on natural convection past a vertical plate embedded in a saturated porous medium.
On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface [Book]
On nonstationary motion of a fixed mass of a general fluid bounded by a free surface
In the paper the motion of a fixed mass of a viscous compressible heat conducting fluid is considered. Assuming that the initial data are sufficiently close to an equilibrium state and the external force, the heat sources and the heat flow through the boundary vanish, we prove the existence of a global in time solution which is close to the equilibrium state for any moment of time.
On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary
The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
On nonstationary Stokes problem in exterior domains
On nonsymmetric two-dimensional viscous flow through an aperture.
On nonviscous compressible fluids in a time-dependent domain
On numerical solution of compressible flow in time-dependent domains
The paper deals with numerical simulation of a compressible flow in time-dependent 2D domains with a special interest in medical applications to airflow in the human vocal tract. The mathematical model of this process is described by the compressible Navier-Stokes equations. For the treatment of the time-dependent domain, the arbitrary Lagrangian-Eulerian (ALE) method is used. The discontinuous Galerkin finite element method (DGFEM) is used for the space semidiscretization of the governing equations...
On numerical solution of the incompressible Navier-Stokes equations with static or total pressure specified on boundaries.
On oblique waves forcing by a porous cylindrical wall.