𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Continuous Markov Semigroups and Stability of Transport Equations

✍ Scribed by Katarzyna Pichór; Ryszard Rudnicki


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
133 KB
Volume
249
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Stability of Markov Semigroups and Appli
✍ Katarzyna Pichór; Ryszard Rudnicki 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 264 KB

A new theorem for asymptotic stability of Markov semigroups is proved. This result is applied to semigroups generated by parabolic systems describing the evolution of densities of two-state diffusion processes. ᮊ 1997 Academic Press Ž . Ѩt Ž .

Homogenization of transport problems and
✍ Etienne Bernard; François Golse; Francesco Salvarani 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB

## Abstract In some cases, the homogenization of evolution differential equations whose solution is given by the action of a semigroup on their initial data may lead to evolution problems with a completely different structure, usually integro‐differential equations whose dynamics is not defined by

Polynomial stability of operator semigro
✍ András Bátkai; Klaus-Jochen Engel; Jan Prüss; Roland Schnaubelt 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB

## Abstract We investigate polynomial decay of classical solutions of linear evolution equations. For bounded strongly continuous semigroups on a Banach space this property is closely related to polynomial growth estimates of the resolvent of the generator. For systems of commuting normal operators

Stability of Stationary Transport Equati
✍ Cornelis V.M. van der Mee; André C.M. Ran; Leiba Rodman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 256 KB

In this paper we consider transport equations with accretive collision operators. We characterize when the equation has a unique solution and show that in this case the solution is stable under small perturbations of the collision operator and the initial value. In one case in which there is more th

Stability of Traveling Waves of a Solute
✍ Jack X. Xin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 374 KB

We prove the large time asymptotic stability of traveling wave solutions to the scalar solute transport equation (contaminant transport equation) with spatially periodic diffusion-adsorption coefficients in one space dimension. The time dependent solutions converge in proper norms to a translate of