✦ LIBER ✦

Asymptotic stability for a non-local problem in electromagnetism

✍ Scribed by Carlo Alberto Bosello

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 118 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19990925)22:14<1189::aid-mma72>3.0.co;2-f

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, constitutive equations of non-local type are coupled with Maxwell equations and the resulting di!erential problem is studied. A weak formulation is given for an initial}boundary-value problem for Maxwell equations in a medium obeying such constitutive equations with perfectly conducting boundary, and it is shown that such a problem admits at most one solution.

The uniqueness theorem is then shown to imply the density of the range of a certain operator in the space of solutions and this result, together with an a priori energy inequality, is used to prove existence of solutions.

Then the study of asymptotic stability of solutions is addressed. In particular, solutions are shown to be ¸ in time over (0, R) . Finally, a brief description is given of the alternative problem arising when more general constitutive equations are used.

📜 SIMILAR VOLUMES

Asymptotic behaviour and exponential sta

Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity

✍ Alfredo Marzocchi; Jaime E. Mut̃oz Rivera; Maria Grazia Naso 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## Abstract We show that the solution of a semilinear transmission problem between an elastic and a thermoelastic material, decays exponentially to zero. That is, denoting by ℰ(t) the sum of the first, second and third order energy associated with the system, we show that there exist positive const

Sufficient conditions for uniqueness and

Sufficient conditions for uniqueness and the local asymptotic stability of adiabatic tubular reactors

✍ C. T. Liou; H. C. Lim; W. A. Weigand 📂 Article 📅 1972 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 288 KB 👁 2 views

Asymptotic behaviour of a non-classical

Asymptotic behaviour of a non-classical heat conduction problem for a semi-infinite material

✍ L. R. Berrone; D. A. Tarzia; L. T. Villa 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB 👁 2 views

The asymptotic behaviour of a heat conduction problem involving a non-linear heat source depending on the heat-#ux occurring in the extremum of a semi-in"nite slab is discussed. Conditions are given on the non-linearity so as to accelerate the convergence of the solution to zero.

An asymptotic solution of an initial val

An asymptotic solution of an initial value problem for a non-linear viscoelastic rod

✍ D.T. Davy; W.F. Ames 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 815 KB

Non-linear stability in the Bénard probl

Non-linear stability in the Bénard problem for a double-diffusive mixture in a porous medium

✍ S. Lombardo; G. Mulone; B. Straughan 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract The linear and non‐linear stability of a horizontal layer of a binary fluid mixture in a porous medium heated and salted from below is studied, in the Oberbeck–Boussinesq–Darcy scheme, through the Lyapunov direct method. This is an interesting geophysical case because the salt gradient

A finite difference perturbation procedu

A finite difference perturbation procedure for non-linear elastic stability problems

✍ M. S. El Naschie; I. Galaly; S. Athel 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 266 KB

A finite difference perturbation scheme is developed which allows a simple solution to a wide class of non-linear bifurcation problems. The analysis shows that in order to determine the initial post buckling behaviour accurately, it is not necessary to solve more than the linear eigenvalue differenc