Cartesian vector solutions for N-dimensional non-isentropic Euler equations with Coriolis force and linear damping

In this paper, we construct and prove the existence of theoretical solutions to non-isentropic Euler equations with a time-dependent linear damping and Coriolis force in Cartesian form. New exact solutions can be acquired based on this form with examples presented in this paper. By constructing appropriate matrices A(t), and vectors b(t), special cases of exact solutions, where entropy s = In ρ, are obtained. This is the first matrix form solution of non-isentropic Euler equations to the best of the authors' knowledge. Copyright © 2023 the Author(s), licensee AIMS Press.