TY  - JOUR
IS  - 2
TI  - Analysis of nonlocal model of compressible fluid in 1-D
N1  - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions.
Y1  - 2011/01/30/
SN  - 0170-4214
VL  - 34
N2  - 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.
EP  - 212
SP  - 198
ID  - discovery10044895
JF  - Mathematical Methods in the Applied Sciences
UR  - http://dx.doi.org/10.1002/mma.1348
A1  - Zatorska, E
KW  - Navier?Stokes equations
KW  -  barotropic compressible viscous fluid
KW  -  weak solution
KW  -  global existence
KW  -  nonlocal models
AV  - public
ER  -