论文标题
弱解决方案的新结构，以压缩Navier-Stokes方程
A new construction of weak solutions to compressible Navier-Stokes equations
论文作者
论文摘要
我们证明了可压缩的Navier的弱解决方案 - 带有压力压力$ p（\ varrho）= \ varrho^γ$ for $γ\ geq 9/5 $在三个空间维度中的stokes系统。本文的新颖性是近似方案，即连续性方程的经典正则化（基于粘度近似$ \epδ\ varrho $）使用更直接的直接截断和非线性术语的正规化和压力的正则化。该方案与密度的Bresch-Jabin紧凑型标准兼容。我们重新审视此标准，并完全严格地证明它可以在我们的近似值中应用。
We prove the existence of the weak solutions to the compressible Navier--Stokes system with barotropic pressure $p(\varrho)=\varrho^γ$ for $γ\geq 9/5$ in three space dimension. The novelty of the paper is the approximation scheme that instead of the classical regularization of the continuity equation (based on the viscosity approximation $\ep Δ\varrho$) uses more direct truncation and regularisation of nonlinear terms an the pressure. This scheme is compatible with the Bresch-Jabin compactness criterion for the density. We revisit this criterion and prove, in full rigour, that it can be applied in our approximation at any level.
