free boundary
A gap theorem for free boundary minimal surfaces in the three ball
... There are classifications theorems that single out the flat equatorial disk and the critical catenoid among free boundary minimal surfaces in B 3 . Some of them will be reviewed in Section 2. In this work, ...
10
The free boundary equilibrium problem for helically symmetric plasmas
... ” free boundary code of Delucia et ...a boundary which is then reestim ated (once the “fixed boundary” iterations have converged) by contouring the new values of the “boundary” fluxes ...
142
A free boundary problem for an attraction–repulsion chemotaxis system
... In summary, we considered an attraction–repulsion chemotaxis system with a free bound- ary in one space dimension. In model (1.1), the so-called free boundary x = h(t) character- izes the change of ...
38
Biological invasion in a predator–prey model with a free boundary
... Proof of Theorem 1.1 We will use the contraction mapping principle on some functional spaces arranged after rewriting the problem in a domain without a free boundary. We follow the same steps, leading to ...
22
Free Boundary Seepage from Asymmetric Soil Channels
... In the present paper, we present a new variant of the complex velocity-complex potential pair method for studying the seepage from asymmetric soil channels. The symmetric case, which herein is considered as a particular ...
15
Porosity of the free boundary for quasilinear parabolic variational problems
... a free boundary. Our purpose is to analyze the free boundary for a large class of obstacle problems associated with degenerate ( < p < ∞) and non-degenerate ( < p ≤ ) parabolic ...
11
Fast numerical methods for Bernoulli free boundary problems
... • Higher order boundary element methods can be used [4]. Second order con- vergence is observed in Section 4 (partially as a result of the solution being constant on the outer free boundary). To the ...
11
Fast numerical methods for Bernoulli free boundary problems
... 5. Conclusion. Solutions of the Bernoulli free boundary problem can be effi- ciently computed by the method presented here. Providing a Green’s function is available, the method can be used to solve other ...
13
Research on the Solution of Cell Invasion Model with Free Boundary
... In this section we will state the main results, for convenience we will divide this section into two parts. In the first part, we will give three propositions and one theorem. Where, Proposition 1 and Proposition 2 are ...
20
A shape-measure method for solving free-boundary elliptic systems with boundary control function
... The class of elliptic partial differential equations includes many important systems encountered in mechanics and geometry. Indeed an industrial set- ting time is spent setting up the allowable set of shapes (domains of ...
19
A diffusive stage-structured model with a free boundary
... a free boundary problem similar to (1) in higher dimension space, Kaneko and Yamada [4] discussed (1) and the case of bistable nonlinearity with u x (t, 0) = 0 replaced by u(t, 0) = ...
23
A free boundary problem arising in the ecological models with N-species
... one-dimensional free boundary problem for quasilinear reaction-diffusion systems arising in the ecological models with N-species, where some of the species are made up of two separated groups and the ...
24
Free boundary and optimal stopping problems for American Asian options
... Several classical results from functional analysis have been extended to this non-Euclidean setting in [7, 25, 10]. Here we state some fundamental embedding and a priori estimates for the variable coefficients operator L ...
21
A free boundary problem for a reaction diffusion equation appearing in biology
... The free boundary condition (4) is firstly established by Lin [11] from an ecological point by using the Fick’s first law. This condition coincides with the well-known one-phase Stefan condition arising ...
18
Free boundary value problems and hjb equations for the stochastic optimal control of elasto-plastic oscillators
... corresponding free boundary value problems and Hamilton-Jacobi-Bellman equations which belong to a class of nonlinear partial of differential equations with nonlocal Dirichlet boundary ...
20
On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations
... Many results on the existence and uniqueness of weak periodic solutions are already available in the literature see the biographical comments collected in Section 1. Nevertheless those interesting questions are not our ...
17
Compactness analysis for free boundary minimal hypersurfaces
... Remark 20. The above estimate follows from the curvature estimates of Schoen-Simon [30] which imply that the only complete, properly embedded, free boundary and stable minimal hypersurface in the upper half ...
41
Index estimates for free boundary minimal hypersurfaces
... two-sided free boundary minimal surfaces in mean convex domains of three-manifolds with non-negative scalar curvature must be topological disks or totally geodesic annuli (see for example ...of ...
15
On the Location of a Free Boundary for American Options
... a free boundary problem by [2] [3] after [4] had also addressed a related ...the free boundary for American butterfly options is done in ...the free boundary, at least to the ...
15
Index estimates for free boundary minimal hypersurfaces
... the boundary ∂M is not fixed (like in Plateau’s problem) but subject to the sole constraint ∂M ⊂ ...therein). Free boundary minimal hypersurfaces also naturally arise in partitioning problems for ...
15