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Liouville-Type Theorems for the Forced Euler Equations and the Navier-Stokes Equations

2014.07.24 16:03

실적년도	2014년
논문구분	국외
총저자	Dongho Chae
학술지명	Communications in Mathematical Physics
권(Vol.)
호(No.)
게재년월	2014년 1월
Impact Factor
SCI 등재	SCI
비고

In this paper we study the Liouville-type properties for solutions to the steady incompressible Euler equations with forces in (Formula presented.). If we assume "single signedness condition" on the force, then we can show that a (Formula presented.) solution (v, p) with (Formula presented.) is trivial, v = 0. For the solution of the steady Navier-Stokes equations, satisfying (Formula presented.) as (Formula presented.), the condition (Formula presented.), which is stronger than the important D-condition, (Formula presented.), but both having the same scaling property, implies that v = 0. In the appendix we reprove Theorem 1.1 (Chae, Commun Math Phys 273:203-215, 2007), using the self-similar Euler equations directly.

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