Asymptotic behavior of thin ferroelectric materials.
Asymptotic behaviour for Schrödinger equations with a quadratic nonlinearity in one-space dimension.
Asymptotic behaviour for the solution of the compressible Navier-Stokes equation, when the compressibility goes to zero
Asymptotic behaviour in planar vortex theory
The asymptotic behaviour of solutions of a class of free-boundary problems arising in vortex theory is discussed.
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
Asymptotic behaviour of one-dimensional flows through porous media
Asymptotic behaviour of solutions of matrix Burgers equation.
Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system
Asymptotic Behaviour of the density for one-dimensional navier-stokes equations.
Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric
Asymptotic completeness in classical -body systems
Asymptotic completeness of -body systems
Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with nonconstant magnetic fields
This article studies the asymptotic behavior of the number of the negative eigenvalues as of the two dimensional Pauli operators with electric potential decaying at and with nonconstant magnetic field , which is assumed to be bounded or to decay at . In particular, it is shown that , when decays faster than under some additional conditions.
Asymptotic dynamics in double-diffusive convection
We consider the double-diffusive convection phenomenon and analyze the governing equations. A system of partial differential equations describing the convective flow arising when a layer of fluid with a dissolved solute is heated from below is considered. The problem is placed in a functional analytic setting in order to prove a theorem on existence, uniqueness and continuous dependence on initial data of weak solutions in the class . This theorem enables us to show that the infinite-dimensional...
Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow
We prove a priori estimates for a linear system of partial differential equations originating from the equations for the flow of a barotropic compressible viscous fluid under the influence of the gravity it generates. These estimates will be used in a forthcoming paper to prove the nonlinear stability of the motionless, spherically symmetric equilibrium states of barotropic, self-gravitating viscous fluids with respect to perturbations of zero total angular momentum. These equilibrium states as...
Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients.
Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces.
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
We consider solutions to the time-harmonic Maxwell's Equations of a TE (transverse electric) nature. For such solutions we provide a rigorous derivation of the leading order boundary perturbations resulting from the presence of a finite number of interior inhomogeneities of small diameter. We expect that these formulas will form the basis for very effective computational identification algorithms, aimed at determining information about the inhomogeneities from electromagnetic boundary measurements. ...