... a freeboundaryproblem 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 ...
... such free-boundary problems [13,33], the proof for well-posedness is based on appropriate ...the freeboundaryproblem on the torus T as provided in Lemma ...immersed boundary ...
... 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] ...
... 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 ...
... 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 ...
... 2010 Mathematics Subject Classification. Primary 35R35. Key words and phrases. almost-minimizer, freeboundaryproblem, uniform rectifiability. G. David was partially supported by the Institut ...
... 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 ...
... optimization problem for solving numerically the so-called Bernoulli’s freeboundaryproblem or Bernoulli’s ...a freeboundary ...the problem where the design of an ...
... Interior freeboundary problems for the Laplace equation, ...minimum problem with freeboundary, ...A freeboundaryproblem for quasilinear elliptic equations, ...A ...
... Bernoulli problem. This problem can be considered as a typical example of a stationary freeboundary ...Bernoulli problem. More specifically, since this problem is time ...
... 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 ...
... 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 ...
... 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 ...
... 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 ...
... 2 Proof of Theorem 1 We will start with perturbations of the level of the freeboundary and con- siderations on its regularity. The method essentially goes as in [2], so we shall simply give a sketch of the ...
... 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 ...
... 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 ...
... 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) ...
... [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 ...
... 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 ...