On stability of some difference schemes for parabolic diffusion equation.
On stability of spline difference scheme for reaction-diffusion time-dependent singularly perturbed problem.
On stabilizability of evolution systems of partial differential equations on ℝn×[0,+∞) by time-delayed feedback controlsby time-delayed feedback controls
On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold
We study the internal stabilization and control of the critical nonlinear Klein-Gordon equation on 3-D compact manifolds. Under a geometric assumption slightly stronger than the classical geometric control condition, we prove exponential decay for some solutions bounded in the energy space but small in a lower norm. The proof combines profile decomposition and microlocal arguments. This profile decomposition, analogous to the one of Bahouri-Gérard [2] on , is performed by taking care of possible...
On stable solutions of quasilinear periodic-parabolic problems
On steady compressible Navier-Stokes equations in plane domains with corners.
On steady motion of a drop in an infinite liquid medium
On steady-state carrier distributions in semiconductor devices
The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
On step approximation for Roseau's analytical solution of water waves.
On step-like contrast structure of singularly perturbed systems.
On strong globbal solutions of nonlinear hyperbolic equations
On Strongly Interacting Internal Solitary Waves.
On strongly nonlinear elliptic equations with weak coercitivity condition.
We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ Rn for strongly nonlinear 2m order elliptic differential equations.
On sufficient conditions of existence and uniqueness of periodic in a strip solutions of nonlinear hyperbolic equations.
On surrogate learning for linear stability assessment of Navier-Stokes equations with stochastic viscosity
We study linear stability of solutions to the Navier-Stokes equations with stochastic viscosity. Specifically, we assume that the viscosity is given in the form of a stochastic expansion. Stability analysis requires a solution of the steady-state Navier-Stokes equation and then leads to a generalized eigenvalue problem, from which we wish to characterize the real part of the rightmost eigenvalue. While this can be achieved by Monte Carlo simulation, due to its computational cost we study three surrogates...
On symmetric equilibrium of an isothermal gas with a free boundary and a body force.
On symmetries and invariant solutions of a coupled KdV system with variable coefficients.
On Synge-type angle condition for -simplices
The maximum angle condition of J. L. Synge was originally introduced in interpolation theory and further used in finite element analysis and applications for triangular and later also for tetrahedral finite element meshes. In this paper we present some of its generalizations to higher-dimensional simplicial elements. In particular, we prove optimal interpolation properties of linear simplicial elements in that degenerate in some way.
On Tartar's conjecture
On tensor functions whose gradients have some skew-symmetries
Let be a real inner product space of any dimension; and let be a -map relating any two tensor spaces on . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these systems appear...