Approximate solution of the one-dimensional heat conduction equation by the boundary element method
Approximation of Burgers' equation by pseudo-spectral methods
Asymptotic and numerical description of the kink/antikink interaction.
Asymptotic behavior for a dissipative plate equation in with periodic coefficients.
Asymptotic behavior of a steady flow in a two-dimensional pipe
The paper investigates the asymptotic behavior of a steady flow of an incompressible viscous fluid in a two-dimensional infinite pipe with slip boundary conditions and large flux. The convergence of the solutions to data at infinities is examined. The technique enables computing optimal factors of exponential decay at the outlet and inlet of the pipe which are unsymmetric for nonzero fluxes of the flow. As a corollary, the asymptotic structure of the solutions is obtained. The results show strong...
Asymptotic Behavior of Fundamental Solutions and Potential Theory of Prabolic Operators with Variable Coeeficients.
Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions.
Asymptotic behavior of solutions to Cauchy-Dirichlet problems for second-order hyperbolic equations in cylinder with non-smooth base.
Asymptotic behaviour of the weighted trace of the Schrödinger operator.
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 expansion of solutions of parabolic equations with a small parameter.
Asymptotic expansion of the heat kernel for a class of hypoelliptic operators
Asymptotic expansions for bounded solutions to semilinear Fuchsian equations.
Asymptotic expansions for linear symmetric hyperbolic systems with small parameter.
Asymptotic Expansions for the Solutions of Certain Nonlinear Parabolic Problems. I .
Asymptotic expansions of quasiperiodic solutions
Asymptotic integration of parabolic problems with large high-frequency summands.
Asymptotic models for scattering from unbounded media with high conductivity
We analyze the accuracy and well-posedness of generalized impedance boundary value problems in the framework of scattering problems from unbounded highly absorbing media. We restrict ourselves in this first work to the scalar problem (E-mode for electromagnetic scattering problems). Compared to earlier works, the unboundedness of the rough absorbing layer introduces severe difficulties in the analysis for the generalized impedance boundary conditions, since classical compactness arguments are no...
Asymptotic Property of Eigenvalues and Eigenfunctions of the Laplace Operator in Domain with a Perturbed Boundary
2000 Mathematics Subject Classification: 35J05, 35C15, 44P05In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic in the spatial and boundary-variation ...