Title: Continuous dependence on the initial and flux functions for entropy solutions of non-homogeneous conservation laws.
Authors: Ebata, Takanori; Hiraguri, Mayuko; Ohwa, Hiroki
Abstract: We consider the continuous dependence on the initial and flux functions for entropy solutions to the Cauchy problem of non-homogeneous conservation laws. Under only the assumption that the flux function and the non-homogeneous term's function are locally Lipschitz continuous, we prove the continuous dependence on the initial and flux functions for the entropy solutions.
Subjects: CAUCHY problem; ENTROPY; CONSERVATION laws (Physics); CONSERVATION laws (Mathematics)
Publication: Communications on Pure & Applied Analysis, 2025, Vol 24, Issue 4, p1
ISSN: 1534-0392
Publication type: Academic Journal
DOI: 10.3934/cpaa.2025007

Continuous dependence on the initial and flux functions for entropy solutions of non-homogeneous conservation laws.

Ebata, Takanori; Hiraguri, Mayuko; Ohwa, Hiroki