ONE-DIMENSIONAL CONSERVATION LAW WITH BOUNDARY CONDITIONS: GENERAL RESULTS AND SPATIALLY INHOMOGENEOUS CASE
| Affiliation auteurs | Affiliation ok |
| Titre | ONE-DIMENSIONAL CONSERVATION LAW WITH BOUNDARY CONDITIONS: GENERAL RESULTS AND SPATIALLY INHOMOGENEOUS CASE |
| Type de publication | Conference Paper |
| Year of Publication | 2014 |
| Auteurs | Andreianov B |
| Editor | Ancona F, Bressan A, Marcati P, Marson A |
| Conference Name | HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS |
| Publisher | Univ Padova, Dipartimento Matematica; Univ Studi Aquila, Dipartimento Matematica Pura Applicata; Univ Padova; Univ Zurich; Univ Basel |
| Conference Location | PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA |
| ISBN Number | 978-1-60133-017-8 |
| Mots-clés | Entropy solution, General boundary condition, Integral solution |
| Résumé | The note presents the results of the recent work [5] of K. Sbihi and the author on existence and uniqueness of entropy solutions for boundary-value problem for conservation law u(t) + phi(u)(x) = 0 (here, we focus on the simplified one-dimensional setting). Then, using nonlinear semigroup theory, we extend these well-posedness results to the case of spatially dependent flux phi(x, u). |