On the Stability of Bilinear-Constant Velocity-Pressure Finite Elements.
On the stability of compressible Navier-Stokes-Korteweg equations
We consider the compressible Navier-Stokes-Korteweg (N-S-K) equations. Through a remarkable identity, we reveal a relationship between the quantum hydrodynamic system and capillary fluids. Using some interesting inequalities from quantum fluids theory, we prove the stability of weak solutions for the N-S-K equations in the periodic domain , when N=2,3.
On the stability of stellar structure in one dimension II : the reactive case
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
We consider the coupling between three-dimensional (3D) and one-dimensional (1D) fluid-structure interaction (FSI) models describing blood flow inside compliant vessels. The 1D model is a hyperbolic system of partial differential equations. The 3D model consists of the Navier-Stokes equations for incompressible Newtonian fluids coupled with a model for the vessel wall dynamics. A non standard formulation for the Navier-Stokes equations is adopted to have suitable boundary conditions for the...
On the stationary Boltzmann equation
For stationary kinetic equations, entropy dissipation can sometimes be used in existence proofs similarly to entropy in the time dependent situation. Recent results in this spirit obtained in collaboration with A. Nouri, are here presented for the nonlinear stationary Boltzmann equation in bounded domains of with given indata and diffuse reflection on the boundary.
On the stationary motion of compressible viscous fluids
On the stationary motion of granulated media
On the stationary, potential, subsonic flow.
On the steady flow of a second-grade fluid between two coaxial porous cylinders.
On the Stefan problem: the variational approach and some applications
On the Stokes and Navier-Stokes flows in a perturbed half-space
We give the estimate for the Stokes semigroup in a perturbed half-space and some global in time existence theorems for small solutions to the Navier-Stokes equation.
On the Stokes equation with Neumann boundary condition
In this paper, we study the nonstationary Stokes equation with Neumann boundary condition in a bounded or an exterior domain in ℝⁿ, which is the linearized model problem of the free boundary value problem. Mainly, we prove estimates for the semigroup of the Stokes operator. Comparing with the non-slip boundary condition case, we have the better decay estimate for the gradient of the semigroup in the exterior domain case because of the null force at the boundary.
On the structure of a distinguished-limit quasi-isothermal deflagration for the generalized reaction-rate model.
On the structure of flows through pipe-like domains satisfying a geometrical constraint
We study solutions of the steady Navier-Stokes equations in a bounded 2D domain with the slip boundary conditions admitting flow across the boundary. We show conditions guaranteeing uniqueness of the solution. Next, we examine the structure of the solution considering an approximation given by a natural linearization. Suitable error estimates are also obtained.
On the structure of ionizing shock waves in magnetofluiddynamics.
On the structure of the deflagration for the generalized reaction-rate model.
On the three-dimensional Euler equations with a free boundary subject to surface tension
On the tidal motion around the earth complicated by the circular geometry of the ocean's shape.
On the Transition from Deflagration to Detonation in Narrow Channels
A numerical study of a two-dimensional model for premixed gas combustion in a narrow, semi-infinite channel with no-slip boundary condition is performed. The work is motivated by recent theoretical advances revealing the major role of hydraulic resistance in deflagration-to-detonation transition, one of the central yet still inadequately understood phenomena of gaseous combustion. The work is a continuation and extension of recently reported results over non-isothermal boundary conditions, wider...
On the Transport-Diffusion Algorithm and Its Applications to the NavierStokes Equations.