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A general perturbation formula for electromagnetic fields in presence of low volume scatterers

Roland Griesmaier (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

In several practically interesting applications of electromagnetic scattering theory like, e.g., scattering from small point-like objects such as buried artifacts or small inclusions in non-destructive testing, scattering from thin curve-like objects such as wires or tubes, or scattering from thin sheet-like objects such as cracks, the volume of the scatterers is small relative to the volume of the surrounding medium and with respect to the wave length of the applied electromagnetic fields. This...

A general perturbation formula for electromagnetic fields in presence of low volume scatterers

Roland Griesmaier (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

A note on asymptotic expansion for a periodic boundary condition

Ján Filo (1998)

Archivum Mathematicum

The aim of this contribution is to present a new result concerning asymptotic expansion of solutions of the heat equation with periodic Dirichlet–Neuman boundary conditions with the period going to zero in $3$ D.

A perturbation problem with two small parameters in the framework of the heat conduction of a fiber reinforced body

D. Caillerie, B. Dinari (1987)

Banach Center Publications

A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

Hoai-Minh Nguyen, Michael S. Vogelius (2009)

Annales de l'I.H.P. Analyse non linéaire

A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations.

Easwaran, Chirakkal V. (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Algorithmic construction of hyperfunction solutions to invariant differential equations on the space of real symmetric matrices.

Muro, Masakazu (2004)

Journal of Lie Theory

An asymptotic expansion for the discrete harmonic potential.

Kozma, Gady, Schreiber, Ehud (2004)

Electronic Journal of Probability [electronic only]

An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics

A. Bourgeade, Ph. Le Floch, P. A. Raviart (1989)

Annales de l'I.H.P. Analyse non linéaire

An integral formula for the derivatives of solutions of certain elliptic systems

H. Renelt (1991)

Annales Polonici Mathematici

Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation.

Zakeri, Ali, Aminataei, Azim, Jannati, Qodsiyeh (2010)

Discrete Dynamics in Nature and Society

Approche visqueuse de solutions discontinues de systèmes hyperboliques semilinéaires

Franck Sueur (2006)

Annales de l’institut Fourier

On s’intéresse à des systèmes symétriques hyperboliques multidimensionnels en présence d’une semilinéarité. Il est bien connu que ces systèmes admettent des solutions discontinues, régulières de part et d’autre d’une hypersurface lisse caractéristique de multiplicité constante. Une telle solution $u^{0}$ étant donnée, on montre que $u^{0}$ est limite quand $ε \to 0$ de solutions ${(u^{ε})}_{ε \in] 0, 1]}$ du système perturbé par une viscosité de taille $ε$ . La preuve utilise un problème mixte parabolique et des développements de couches limites....

Asymptotic behavior for a dissipative plate equation in $ℝ^{N}$ with periodic coefficients.

Charao, Ruy Coimbra, Bisognin, Eleni, Bisognin, Vanilde, Pazoto, Ademir Fernando (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic behavior of a steady flow in a two-dimensional pipe

Piotr Bogusław Mucha (2003)

Studia Mathematica

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...