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AXISYMMETRIC SOLUTIONS TO COUPLED NAVIER-STOKES/ALLEN-CAHN EQUATIONS.
- Source :
- SIAM Journal on Mathematical Analysis; 2010, Vol. 41 Issue 6, p2246-2282, 37p
- Publication Year :
- 2010
-
Abstract
- We investigate a family of axisymmetric solutions to a coupling of Navier-Stokes and Allen--Cahn equations in R³. First, a one-dimensional system of equations is derived from the method of separation of variables, which approximates the three-dimensional system along its symmetry axis. Then based on them, by adding perturbation terms, we construct finite energy solutions to the three-dimensional system. We prove the global regularity of the constructed solutions in both large viscosity and small initial data cases. These solutions can be considered as perturbations near infinite-energy solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 41
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 51646205
- Full Text :
- https://doi.org/10.1137/090754698