Isothermal Limit of Entropy Solutions for the Euler Equations with Source Term
Abstract
We investigate the isothermal limit of entropy solutions for isentropic Euler equations with a special source term. It is shown that the L ∞ entropy solutions of the isentropic Euler equations converge strongly to the corresponding entropy solutions of the isothermal Euler equations as the adiabatic exponent γ→1 . The proof is based on the homogeneous case which is achieved by combining the entropy analysis and refined kinetic formulation with compensated compactness framework. We apply a maximum principle to obtain the uniform estimates with respect to γ for both density and momentum.
Fields of Study & Subjects
Computational Fluid Dynamics and Aerodynamics
Navier-Stokes equation solutions
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- Journal of Applied Mathematics and Physics
- Volume
- 14
- Issue
- 02
- Pages
- 575–586
- Publication date
- 1 January 2026