Analysis of nonlocal model of compressible fluid in 1-D

作者：Zatorska Ewelina^*

来源：Mathematical Methods in the Applied Sciences, 2011, 34(2): 198-212.

DOI：10.1002/mma.1348

• Navier-Stokes equations
• barotropic compressible viscous fluid
• weak solution
• global existence
• nonlocal models

We study a nonlocal modification of the compressible Navier-Stokes equations in mono-dimensional case with a boundary condition characteristic for the free boundaries problem. From the formal point of view, our system is an intermediate between the Euler and Navier-Stokes equations. Under certain assumptions, imposed on initial data and viscosity coefficient, we obtain the local and global existence of solutions. Particularly, we show the uniform in time bound on the density of fluid.

• 出版日期2011-1-30