... 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 ...

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... 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** ...

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... 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] ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... Interior **free** **boundary** problems for the Laplace equation, ...minimum **problem** with **free** **boundary**, ...A **free** **boundary** **problem** for quasilinear elliptic equations, ...A ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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 ...

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... 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) ...

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... [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 ...

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... 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 ...

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