Article citationsMore>>

Tsuge, N. (2016) Existence and Stability of Solutions to the Compressible Euler Equations with an Outer Force. Nonlinear Analysis: Real World Applications, 27, 203-220.
https://doi.org/10.1016/j.nonrwa.2015.07.017

has been cited by the following article:

• TITLE: Isothermal Limit of Entropy Solutions for the Euler Equations with Source Term

  AUTHORS: Yuhan Ma

  KEYWORDS: Entropy Solutions, Isothermal Limit, Isentropic Euler Equations, Isothermal Euler Equations, Strong Convergence

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.2, February 5, 2026

  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.