On the stability of solutions of impulsive nonlinear parabolic equations
Stability and asymptotic stability of the solutions of impulsive nonlinear pa ra bo lic equations are studied via the method of differential inequalities.
On the stability of solutions of nonlinear parabolic differential-functional equations
We consider a nonlinear differential-functional parabolic boundary initial value problem (1) ⎧A z + f(x,z(t,x),z(t,·)) - ∂z/∂t = 0 for t > 0, x ∈ G, ⎨z(t,x) = h(x) for t > 0, x ∈ ∂G, ⎩z(0,x) = φ₀(x) for x ∈ G, and the associated elliptic boundary value problem with Dirichlet condition (2) ⎧Az + f(x,z(x),z(·)) = 0 for x ∈ G, ⎨z(x) = h(x) for x ∈ ∂G ⎩ where , G is an open and bounded domain with (0 < α ≤ 1) boundary, the operator Az := ∑j,k=1m ajk(x) (∂²z/(∂xj ∂xk)) is...
On the stability of stationary solutions of a linear integro-differential equation.
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 stability of the Dirichlet problem for the vibrating string equation
On the stability of the free boundary in the obstacle problem for a minimal surface
On the stability of the linear delay differential and difference equations.
On the stabilization of laminated beams with delay
Of concern in this paper is the laminated beam system with frictional damping and an internal constant delay term in the transverse displacement. Under suitable assumptions on the weight of the delay, we establish that the system's energy decays exponentially in the case of equal wave speeds of propagation, and polynomially in the case of non-equal wave speeds.
On the Stabilization of the Wave Equation by the Boundary
* Partially supported by CNPq (Brazil)We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.
On the stabilization of wave-advection coupling. (Sur la stabilisation d'un couplage ondes-advection.)
On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws
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 a Stokes fluid in a thick elastic tube: a 3D/3D interaction problem.
On the stationary motion of compressible viscous fluids
On the stationary motion of granulated media
On the stationary solutions of Burgers' equation
On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference.
On the steady translational self-propelled motion of a body in a Navier-Stokes fluid
On the Stefan problem: the variational approach and some applications