Cauchy problem for the Navier–Stokes–Voigt model governing nonhomogeneous flows

Antontsev, S. N.; Oliveira, H. B. de

http://hdl.handle.net/10400.1/18602

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
s13398-022-01300-x.pdf		484.27 KB	Adobe PDF	Download

Send Feedback

Authors

Antontsev, S. N.

Oliveira, H. B. de

Abstract(s)

The Navier-Stokes-Voigt model that governs flows with non-constant density of incompressible fluids with elastic properties is considered in the whole space domain R-d and in the entire time interval. If d is an element of{2,3,4}, we prove the existence of weak solutions (velocity, density and pressure) to the associated Cauchy problem. We also analyse some issues of regularity of the weak solutions to the considered problem and the large time behavior in special unbounded domains.