On a phenomenon of oscillating flow of nonhomogenous fluids.
On A Phenomenon Of Oscillating Flow Of Nonhomogenuous Fluids
On a possibility of generalization of the Hopf lemma to the case of the Navier-Stokes system with nonzero flows.
On a probabilistic description of small scale structures in 3D fluids
On a problem of shallow water type.
On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section.
On a seawater intrusion problem.
On a shape control problem for the stationary Navier-Stokes equations
On a shape control problem for the stationary Navier-Stokes equations
An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel is studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design functional.
On a similarity solution of MHD boundary layer flow over a moving vertical cylinder.
On a singular integral equation with log kernel and its application.
On a stabilized colocated Finite Volume scheme for the Stokes problem
We present and analyse in this paper a novel colocated Finite Volume scheme for the solution of the Stokes problem. It has been developed following two main ideas. On one hand, the discretization of the pressure gradient term is built as the discrete transposed of the velocity divergence term, the latter being evaluated using a natural finite volume approximation; this leads to a non-standard interpolation formula for the expression of the pressure on the edges of the control volumes. On the other...
On a steady flow in a three-dimensional infinite pipe
The paper examines the steady Navier-Stokes equations in a three-dimensional infinite pipe with mixed boundary conditions (Dirichlet and slip boundary conditions). The velocity of the fluid is assumed to be constant at infinity. The main results show the existence of weak solutions with no restriction on smallness of the flux vector and boundary conditions.
On a temperature-dependent Hele-Shaw flow in one dimension
A model is presented for a Hele-Shaw flow with variable temperature in one space dimension. The problem to be solved is a free boundary problem for a parabolic equation with a non-linear and non-local free boundary condition. Existence and uniqueness are proved.
On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis
On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis
On a variant of Korn’s inequality arising in statistical mechanics
We state and prove a Korn-like inequality for a vector field in a bounded open set of , satisfying a tangency boundary condition. This inequality, which is crucial in our study of the trend towards equilibrium for dilute gases, holds true if and only if the domain is not axisymmetric. We give quantitative, explicit estimates on how the departure from axisymmetry affects the constants; a Monge–Kantorovich minimization problem naturally arises in this process. Variants in the axisymmetric case are...
On a variant of Korn's inequality arising in statistical mechanics
We state and prove a Korn-like inequality for a vector field in a bounded open set of , satisfying a tangency boundary condition. This inequality, which is crucial in our study of the trend towards equilibrium for dilute gases, holds true if and only if the domain is not axisymmetric. We give quantitative, explicit estimates on how the departure from axisymmetry affects the constants; a Monge–Kantorovich minimization problem naturally arises in this process. Variants in the axisymmetric case...
On a variational method for solving hydrodynamical free boundary problems.
On an estimate for the linearized compressible Navier-Stokes equations in the -framework
An -estimate with a constant independent of time for solutions of the linearized compressible Navier-Stokes system in the whole space (under the assumption that solutions have compact supports in space) is obtained.