Work

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

Year: 2024

Type: article

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.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2025007

Authors: Takanori Ebata, Mayuko Hiraguri, Hiroki Ohwa

Institution: Niigata University

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Stability of entropy solutions to the Cauchy problem for conservation laws