@article{Liu2023, 
author = {Xitong Liu and Xiao Yong Wen and Manwai Yuen},
title = {Cartesian vector solutions for    N-dimensional non-isentropic Euler equations with Coriolis force and linear damping},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {17171-17196},
keywords = {non-isentropic fluids, Euler equations, Coriolis force, linear-damping symmetric and anti-symmetric matrices, curve integration, Cartesian vector form solutions},
url = {https://www.sciopen.com/article/10.3934/math.2023877},
doi = {10.3934/math.2023877},
abstract = {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  =  ln  ⁡  ρ, are obtained. This is the first matrix form solution of non-isentropic Euler equations to the best of the authors' knowledge.}
}