Academic literature on the topic 'L'équation de Boltzmann'
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Journal articles on the topic "L'équation de Boltzmann"
Ferland, René. "Fluctuations Pour Des Équations De Boltzmann Scalaires." Canadian Journal of Mathematics 43, no. 5 (October 1, 1991): 975–84. http://dx.doi.org/10.4153/cjm-1991-054-5.
Full textSabbane, M., and M. Tij. "Analyse du flux de Poiseuille bidimensionnel via l'équation de Boltzmann." Canadian Journal of Physics 82, no. 3 (March 1, 2004): 213–25. http://dx.doi.org/10.1139/p04-002.
Full textAlexandre, Radjesvarane. "Solutions maxwelliennes pour l'équation de Boltzmann sans troncature angulaire." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 330, no. 3 (February 2000): 255–60. http://dx.doi.org/10.1016/s0764-4442(00)00114-2.
Full textGoudon, Thierry. "Sur l'équation de boltzmann homogène et sa relation avec l'équation de landau-fokker-planck: influence des collisions rasantes." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 324, no. 3 (February 1997): 265–70. http://dx.doi.org/10.1016/s0764-4442(99)80358-9.
Full textMieussens, Luc. "Convergence d'un modèle à vitesses discrètes pour l'équation de Boltzmann-BGK." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 12 (June 1999): 1231–36. http://dx.doi.org/10.1016/s0764-4442(99)80445-5.
Full textAlexandre, Radjesvarane. "Une définition des solutions renormalisées pour l'équation de Boltzmann sans troncature angulaire." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 11 (June 1999): 987–91. http://dx.doi.org/10.1016/s0764-4442(99)80311-5.
Full textSaint-Raymond, Laure. "Du modèle BGK de l'équation de Boltzmann aux équations d'Euler des fluides incompressibles." Bulletin des Sciences Mathématiques 126, no. 6 (July 2002): 493–506. http://dx.doi.org/10.1016/s0007-4497(02)01125-9.
Full textKesri, M'hamed. "Solutions globales du système intégro-différentiel non linéaire de Liouville–Boltzmann–Poisson et l'équation spectrale." Colloquium Mathematicum 106, no. 2 (2006): 265–81. http://dx.doi.org/10.4064/cm106-2-7.
Full textMichel, Philippe, and Jacques Schneider. "Approximation simultanée de réels par des nombres rationnels et noyau de collision de l'équation de Boltzmann." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 330, no. 9 (May 2000): 857–62. http://dx.doi.org/10.1016/s0764-4442(00)00258-5.
Full textAufrère, Loı̈c, and J. Gilbert Méolans. "Fonction de distribution pour les gaz polyatomiques dans la couche de Knudsen. Solution approchée de l'équation de Boltzmann." Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics 329, no. 2 (February 2001): 117–23. http://dx.doi.org/10.1016/s1620-7742(01)01304-6.
Full textDissertations / Theses on the topic "L'équation de Boltzmann"
Xu, Liping. "Contribution à l'étude de l'équation de Boltzmann homogène." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066018/document.
Full textThis thesis mainly studies the 3D homogeneous Boltzmann equation for hard potentials and moderately soft potentials and the equivalence between some jumping SDE and the corresponding PDE. In particular, we compute the multifractal spectrum of some stochastic processes, study the well-posedness and the propagation of chaos for the Boltzmann equation. The purpose of the first chapter is to study the pathwise properties of the stochastic process $(V_t)_{t\geq0}, representing the time-evolution of the velocity of a typical particle in a gas modeled by the Boltzmann equation for hard or moderately potentials. We show that this process is multifractal and has a deterministic spectrum. For hard potentials, we also give the multifractal spectrum of the process $X_t =\int_0^t V_s ds$, representing the time-evolution of the position of the typical particle. The second chapter is devoted to study the uniqueness of the weak solution to the Boltzmann equation in the class of all measure solutions, in the case of moderately soft potentials. This allows us to obtain a quantitive rate of propagation of chaos for Nanbu particle system for this singular interaction. Finally in the third chapter, we extend Figalli’s work [19] to study the relation between some jumping SDE and the corresponding Fokker-Planck equation. We prove that for any weak solution $(ft)_{t\in[0,T]}$ of the PDE, there exists a weak solution to the SDE of which the time-marginals are given by the family $(f_t)_{t\in[0,T]$
Jrad, Ibrahim. "Analyse spectrale et calcul numérique pour l'équation de Boltzmann." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMR020/document.
Full textIn this thesis, we study the solutions of the Boltzmann equation. We are interested in the homogeneous framework in which the solution f(t; x; v) depends only on the time t and the velocity v. We consider singular crosssections (non cuto_ case) in the Maxwellian case. For the study of the Cauchy problem, we consider a uctuation of the solution around the Maxwellian distribution then a decomposition of this uctuation in the spectral base associated to the quantum harmonic oscillator At first, we solve numerically the solutions using symbolic computation methods and spectral decomposition of Hermite functions. We consider regular initial data and initial conditions of distribution type. Next, we prove that there is no longer a global solution in time for a large initial condition that changes sign (which does not contradict the global existence of a weak solution for a positive initial condition - see for example Villani Arch. Rational Mech. Anal 1998)
Schneider, Jacques. "Une méthode déterministe pour la résolution de l'équation de Boltzmann." Paris 6, 1993. http://www.theses.fr/1993PA066640.
Full textHammouch, Jillal. "Limite hydrodynamique des modèles discrets et semidiscrets de l'équation de Boltzmann." Paris 7, 1995. http://www.theses.fr/1995PA077035.
Full textHamzeh, Hani. "Résolution de l'équation de transport de Boltzmann pour les phonons et applications." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00778705.
Full textMieussens, Luc. "Modèles à vitesses discrètes et méthodes numériques pour l'équation de Boltzmann-BGK." Bordeaux 1, 1999. http://www.theses.fr/1999BOR10605.
Full textDolmaire, Théophile. "Etude mathématique de la dérivation de l'équation de Boltzmann dans un domaine à bord." Thesis, Université de Paris (2019-....), 2019. http://www.theses.fr/2019UNIP7108.
Full textThe Boltzmann equation is a model introduced in order to describe diluted gases. The solutions of this equation present an interesting behaviour: they converge irreversibly towards a determined equilibrium. However, the Boltzmann equation is formally obtained using a microscopic description of the matter, in which the interactions between the atoms constituting the gas are time-reversible. From this paradox has emerged the question of a mathematically rigorous derivation of the Boltzmann equation.In this work one has obtained such a derivation in the case of a domain with a boundary (Lanford obtained this derivation in the case when the domain is the whole Euclidean space, which was historically speaking the first rigorous derivation of the Boltzmann equation), by prescribing the specular reflexion as the way the particles and the boundary of the domain interact. The domain here will be the half-space.This derivation is using sequences of equations, namely the BBGKY and the Boltzmann hierarchies. After a presentation of the formal derivation of those hierarchies in the case of a domain with boundary, one has carefully addressed the rigorous definition of those hierarchies, detailing the appropriate functional setting. In a second part, the proof of the convergence of the solutions of the BBGKY hierarchy towards the solutions of the Boltzmann hierarchy is presented exhaustively. In particular, the geometrical control of the recollisions in the case of the half-space has been written in the most comprehensive way
Hamdache, Kamal Ahmed. "Sur l'existence globale et le comportement asymptotique de quelques solutions de l'équation de Boltzmann." Paris 6, 1986. http://www.theses.fr/1986PA066225.
Full textGoudon, Thierry. "Sur quelques questions relatives à la théorie cinétique des gaz et à l'équation de Boltzmann." Bordeaux 1, 1997. http://www.theses.fr/1997BOR10508.
Full textGUERIN, Hélène. "Interprétation probabiliste de l'équation de Landau." Phd thesis, Université de Nanterre - Paris X, 2002. http://tel.archives-ouvertes.fr/tel-00002066.
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