Bounded domain
Fokker-Planck equation in bounded domain
... Theorem 1.2. — Let Ω be a bounded domain of R d , d > 2. If f ∈ H −1 (Ω) and F ∈ L d ∗ (Ω) then there exists a unique solution of (1.3). The proof of the generalization which we propose is primarily ...
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Numerical convergence for a diffuse limit of hyperbolic systems on bounded domain
... To this end we organize this note as follow. In Section 2, we present the numeri- cal scheme given in [3] and state the main convergence theorem. Then in section 3, we introduce the necessary tools to prove the theorem, ...
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On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain.
... impermeable bounded domain with no-slip condition, a sharp variation of the fluid velocity in a boundary strip of width proportional to the square of the viscosity ...
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Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain
... February 15, 2021 Abstract We study a random process with reinforcement, which evolves fol- lowing the dynamics of a given diffusion process in a bounded domain and is resampled according to its occupation ...
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Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domain
... NAVIER-STOKES EQUATIONS IN A BOUNDED DOMAIN JULIEN LEQUEURRE AND ALEXANDRE MUNNIER Abstract. The main purpose of this work is to provide a Hilbertian functional framework for the analysis of the planar ...
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Internal controllability of the Korteweg-de Vries equation on a bounded domain
... [21] and Glass and Guerrero [8] for which g 1 is taken as control input (i.e. g 2 = g 3 = 0). They proved that system (1.2) is then null controllable, but not exactly controllable, because of the strong smoothing effect. ...
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A new conservative finite-difference scheme for anisotropic elliptic problems in bounded domain A new conservative finite-difference scheme for anisotropic elliptic problems in bounded domain
... in the anisotropy direction at the border of the domain. The paper is organised as follows: in Section 2 the mathematical model related to an elliptic problem is presented, the numerical scheme is detailed in ...
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$χ$-bounded families of oriented graphs
... number of vertices. The celebrated Strong Perfect Graph Theorem [ 5 ] states that Berge graphs are perfect graphs, i.e. graphs such that each induced subgraph has its chromatic number equal to its clique number. In ...
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Distributed Adaptive Sampling using Bounded-Errors
... used. Bounded-error methods have been popular in control and es- timation problems, mostly for recursive state estimation prob- lems, and update equations for the set dilation and intersection steps have been ...a ...
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On Subgraphs of Bounded Degeneracy in Hypergraphs
... . When i < k, it is easy to see that the inner summation is 1. The main idea of the proof is the following: first, observe that for any i ∈ [n], the inner summation is just the probability that a randomly picked set ...
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χ-bounded families of oriented graphs
... one can consider the class Forb( D ) of oriented graphs that have an orientation without any induced subdigraph in D T . Different sets D T will define different superclasses of Forb(T ), and one can wonder which of ...
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On Subgraphs of Bounded Degeneracy in Hypergraphs
... The rest of the paper is organised as follows: Section 2 has the simpler proof of Theorem 1.4, Section 3 has the proof of Theorem 1.5 and in Sec- tion 4 we prove lower bounds for a more [r] ...
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Fractional Coloring of Bounded Degree Trees
... 101 - 54602 Villers lès Nancy Cedex France Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex France Unité de recherche INRIA Rhône-Alpes : 65[r] ...
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Yet Yet on the bounded retransmission protocol
... The Bounded Retransmission Protocol Apart from some little and irrelevant variations, all the papers start from the same description which is the ...a bounded number of transmission ...
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Diametral dimension(s) and prominent bounded sets
... Prominent bounded sets Non-Fréchet spaces Interesting properties Proposition (1979, ...finite-dimensional bounded sets if and only if any linear functional on E is locally ...
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Asynchronous Deterministic Rendezvous in Bounded Terrains
... Abstract. Two mobile agents (robots) have to meet in an a priori un- known bounded terrain modeled as a polygon, possibly with polygonal obstacles. Robots are modeled as points, and each of them is equipped with a ...
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Fractional path coloring on bounded degree trees
... for bounded degree d stars, a naive way to get one is to use labeled independent set variables, that is one variable for any possible labeled independent set in a bounded degree star (as paths are labeled, ...
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Bounded-Degree Polyhedronization of Point Sets
... The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Barequet, Gill et al. "Bounded-Degree Polyhedronization of Point Sets." in ...
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Asynchronous deterministic rendezvous in bounded terrains
... Keywords: mobile agent, rendezvous, deterministic, polygon, obstacle 1. Introduction 1.1. The problem and the model Two mobile agents (robots) modeled as points starting at different locations of an a priori unknown ...
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Values of globally bounded G-functions
... Some hypergeometric functions p+1 F p with rational parameters are globally bounded (so that their values at algebraic points in the unit disk belong to G 0 ). Christol has obtained a characterization of this ...
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