6533b7dcfe1ef96bd12734b9
RESEARCH PRODUCT
On the regularity of critical and minimal sets of a free interface problem
Vesa JulinNicola Fuscosubject
PhysicsRegularity of minimal surfacesInterface (Java)Applied Mathematicsta111010102 general mathematicsMathematical analysisFree interfaceConical surface01 natural sciences010305 fluids & plasmasMathematics - Analysis of PDEsFree interface0103 physical sciencesFOS: MathematicsTaylor cones0101 mathematicsEnergy (signal processing)49Q10 49N60 74G40Analysis of PDEs (math.AP)description
We study a free interface problem of finding the optimal energy configuration for mixtures of two conducting materials with an additional perimeter penalization of the interface. We employ the regularity theory of linear elliptic equations to study the possible opening angles of Taylor cones and to give a different proof of a partial regularity result by Fan Hua Lin [Calc Var. Partial Differential Equations, 1993].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |