Thumbnail

Quasi-static Limit for a Hyperbolic Conservation Law

Marchesani, Stefano; Olla, Stefano; Xu, Lu (2021), Quasi-static Limit for a Hyperbolic Conservation Law, NoDEA. Nonlinear Differential Equations and Applications, 28, 53. 10.1007/s00030-021-00716-5

View/Open
Type
Article accepté pour publication ou publié
Date
2021
Journal name
NoDEA. Nonlinear Differential Equations and Applications
Volume
28
Number
53
Publisher
Springer
Publication identifier
Metadata
Show full item record
Author(s)
Marchesani, Stefano
Gran Sasso Science Institute [GSSI]
Olla, Stefano cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Xu, Lu
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Gran Sasso Science Institute [GSSI]
Abstract (EN)
We study the quasi-static limit for the L∞ entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boundary conditions. The quasi-stationary profile evolves with the quasi-static equation, whose entropy solution is determined by the stationary profile corresponding to the boundary data at a given time.
Subjects / Keywords
quasi-static limits; entropy solutions; boundary entropy flux; hyperbolic conservation laws