标题： 可压缩Navier-Stokes方程熵传输弱解的存在性 显示英文标题

标题： Existence of weak solutions for compressible Navier-Stokes equations with entropy transport

摘要： 我们考虑具有可变熵的可压缩纳维-斯托克斯方程组。压力是密度和熵/位温的非线性函数，与纳维-斯托克斯-傅里叶方程组不同，它仅满足输运方程。我们提供了对应经典问题的三种替代弱形式的存在性结果。我们的构造从目前存在性理论的角度来看适用于绝热系数的最佳范围。 显示英文摘要

摘要： We consider the compressible Navier-Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in the Navier-Stokes-Fourier system, satisfies only the transport equation. We provide existence results within three alternative weak formulations of the corresponding classical problem. Our constructions hold for the optimal range of the adiabatic coefficients from the point of view of the nowadays existence theory.