Free boundary problem
A free boundary problem for the Stokes equations
... a free boundary problem for fluid flows governed by the Stokes ...This problem originates from numerous applications such as magnetic shaping processes, where the shape of the fluid is determined ...
22
Free boundary problem for cell protrusion formations: theoretical and numerical aspects
... such free-boundary problems [13,33], the proof for well-posedness is based on appropriate ...the free boundary problem on the torus T as provided in Lemma ...immersed boundary ...
37
A pertubation study of a jet-like annular free boundary problem and an application to an optimal control problem
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
55
2D BEM modeling of a singular thermal diffusion free boundary problem with phase change
... our problem is singular due to the contact line effects, many Gauss points are needed to attain the required accuracy in the contact line region and a more sophisticated algorithm is necessary to get both accuracy ...
16
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains
... A very interesting - and open - question is whether for general convex bounded sets Ω the structure of the solutions of Bernoulli problem enjoys similar features. In this paper we try to provide some positive ...
16
Free Boundary Regularity for Almost-Minimizers
... 2010 Mathematics Subject Classification. Primary 35R35. Key words and phrases. almost-minimizer, free boundary problem, uniform rectifiability. G. David was partially supported by the Institut ...
71
Hyperbolic free boundary problems and applications to wave-structure interactions
... the free surface Euler equations are reformulated in terms of the free surface elevation and of the horizontal water ...the free surface Euler equations by the much simpler nonlinear shallow water ...
77
On a numerical shape optimization approach for a class of free boundary problems
... optimization problem for solving numerically the so-called Bernoulli’s free boundary problem or Bernoulli’s ...a free boundary ...the problem where the design of an ...
24
A Bernoulli problem with non constant gradient boundary constraint
... Interior free boundary problems for the Laplace equation, ...minimum problem with free boundary, ...A free boundary problem for quasilinear elliptic equations, ...A ...
9
Numerical Solution Of The Free Boundary Bernoulli Problem Using A Level Set Formulation
... Bernoulli problem. This problem can be considered as a typical example of a stationary free boundary ...Bernoulli problem. More specifically, since this problem is time ...
15
The four-in-a-tree problem in triangle-free graphs
... the problem whose instance is a graph G together with four of its vertices, and whose question is “Does G contain an induced tree covering the four vertices ...this problem seems complicated to us, we ...
17
On the rate boundary value problem for damage modelization by thick level-set
... To avoid these discontinuities, a new approach is proposed based on the propagation of a moving layer inside which the damage is a continuous function of the position. The evolution of damage is then associated to the ...
12
Quantification of topographic venting of boundary layer air to the free troposphere
... mixed boundary layer (NO x mixing ratios of about 10 ppbv) is capped by a rather stable layer indicated by an increase of potential temperature (dashed-dotted ...
14
On the NP-completeness of the perfect matching free subgraph problem
... matching problem, which consists, given a graph G, in finding a maximum matching in G [3, ...This problem can be solved in polynomial time using the algorithm developed by Edmonds ...the problem is ...
13
Convexity estimates for nonlinear elliptic equations and application to free boundary problems
... 2 Proof of Theorem 1 We will start with perturbations of the level of the free boundary and con- siderations on its regularity. The method essentially goes as in [2], so we shall simply give a sketch of the ...
28
On the NP-Completeness of the Perfect Perfect Matching Free Subgraph Problem
... well-constrained. The structural analysis problem for a DAS consists in verifying if the system is well-constrained. In many practical situations, physical systems yield differential-algebraic sys- tems with ...
14
New existence and uniqueness results for an α order boundary value problem
... Abstract This paper is concerned with the existence of solutions for a non local fractional boundary value problem with integral conditions. New existence and uniqueness results are established using Banach ...
10
On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence
... 2 + s = r > 0, they are often called Strichartz estimates with loss of r derivatives. The derivation of such estimates (and the associated well-posedness results) for NLS on a domain with the Dirichlet (or Neuman) ...
36
ON THE CAUCHY PROBLEM FOR A DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION WITH NONVANISHING BOUNDARY CONDITIONS
... [6] P. Gérard. The Cauchy problem for the Gross-Pitaevskii equation. Ann. Inst. H. Poincaré Anal. Non Linéaire, 23(5):765779, 2006. [7] P. Gérard. The Gross-Pitaevskii equation in the energy space. In Stationary ...
27
Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics
... inlet/outlet boundary conditions at artificial ...suitable boundary conditions at the artificial sections is reviewed in [ 16 ] and different strategies to cope with this difficulty are proposed for ...
24