Добірка наукової літератури з теми "Problèmes Parabolique"
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Статті в журналах з теми "Problèmes Parabolique":
Benilan, Philippe, and Petra Wittbold. "Sur un problème parabolique-elliptique." ESAIM: Mathematical Modelling and Numerical Analysis 33, no. 1 (January 1999): 121–27. http://dx.doi.org/10.1051/m2an:1999100.
Carrillo, José, and Petra Wittbold. "Unicité des solutions renormalisées de problèmes elliptiques-paraboliques." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 1 (January 1999): 23–28. http://dx.doi.org/10.1016/s0764-4442(99)80006-8.
Dat, Jean-Francois. "Finitude pour les représentations lisses de groupes p-adiques." Journal of the Institute of Mathematics of Jussieu 8, no. 2 (March 18, 2008): 261–333. http://dx.doi.org/10.1017/s1474748008000054.
Ouaro, Stanislas, and Hamidou Touré. "Sur un problème de type elliptique parabolique non linéaire." Comptes Rendus Mathematique 334, no. 1 (January 2002): 27–30. http://dx.doi.org/10.1016/s1631-073x(02)02198-2.
Zeghal, Ahmed. "Un résultat d'existence pour un problème inverse parabolique quasi linéaire." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 332, no. 10 (June 2001): 909–12. http://dx.doi.org/10.1016/s0764-4442(01)01962-0.
Diaz, Jesús Ildefonso, and Jacques-Louis Lions. "Sur la contrôlabilité approchée de problèmes paraboliques avec phénomènes d'explosion." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327, no. 2 (July 1998): 173–77. http://dx.doi.org/10.1016/s0764-4442(98)80083-9.
Kaddouri, Isma, and Djamel Eddine Teniou. "Problème inverse pour une équation parabolique à coefficients périodiques non réguliers." Comptes Rendus Mathematique 351, no. 5-6 (March 2013): 191–96. http://dx.doi.org/10.1016/j.crma.2013.04.001.
Gaiffe, Stéphanie, Roland Glowinski, and Roland Masson. "Méthodes de décomposition de domaine et d'opérateur pour les problèmes paraboliques." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 331, no. 9 (November 2000): 739–44. http://dx.doi.org/10.1016/s0764-4442(00)01704-3.
Jasor, Marie-Josée. "Perturbations singulières de problèmes aux limites, non linéaires, «paraboliques dégénérés-hyperboliques»." Annales de la faculté des sciences de Toulouse Mathématiques 7, no. 2 (1998): 267–91. http://dx.doi.org/10.5802/afst.898.
Bouziani, Abdelfatah. "Solution forte d'un problème de transmission parabolique-hyperbolique pour une structure pluridimensionnelle." Bulletin de la Classe des sciences 7, no. 7 (1996): 369–86. http://dx.doi.org/10.3406/barb.1996.27752.
Дисертації з теми "Problèmes Parabolique":
Kaddouri, Isma. "Problèmes inverses pour des problèmes d'évolution paraboliques à coefficients périodiques." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4322/document.
This thesis consists in the study of two problems associated to inverse para-bolic equations with periodic coefficients. We are interested in identifying one coefficient by using two different methods. In the first part, we consider a parabolic equation with periodic coefficients and periodic initial condition. Our work consists to consider the case of coefficient with weak regularity and to minimize the constraints of observations which are required to establish our reconstruction result. We establish a result of existence and uniqueness of the solution in adequate energy space. Then we prove a maximum principle adapted to the hypothesis of the problem studied and we work with measurable and bounded coefficients. Finally, we reconstruct the potential by establishing a Carleman estimate. The identification result was achieved via an inequality of stability. In the second work, we are interested to determine a periodic coefficient of the reaction term defined in the whole space $mathbb{R}$. We establish a uniqueness result by using a new type of observations. The nature of the studied problem allowed us to use the notion of asymptotic speed of propagation. We prove the existence of this speed and we give its characterization. We overdetermin the inverse problem by choosing a family of initial conditions exponentially decaying. Our main result is that the coefficient is uniquely determined up to a symmetry, by the observation of a continuum of asymptotic speed of propagation
Seam, Ngonn. "Études de problèmes aux limites non linéaires de type pseudo-parabolique." Phd thesis, Université de Pau et des Pays de l'Adour, 2010. http://tel.archives-ouvertes.fr/tel-00523633.
Louis-Rose, Carole Julie. "Sur la contrôlabilité à zéro de problèmes d’évolution de type parabolique." Thesis, Antilles-Guyane, 2013. http://www.theses.fr/2013AGUY0609/document.
This thesis is devoted to the study of the null controllability of systems of parabolic partial differential equations, which we meet in physics, chemistry or in biology. In chemistry or in biology, the se systems model the evolution in time of a chemical concentration or the density of a population (of bacteria, cells). The aim of nu Il controllability is to lead the solution of the system to zero in a given time T, by acting on the system with a control. Thus we are looking for a control, of minimal norm, such as the associated solution y satisfies y(T)=O in the domain Omega under concern. We consider three types of null controllability problems in this thesis. At first, we are interested in the null controllability with afinite number of constraints on the normal derivative of the state, for the serni-Iinear heat equation. Then, we analyze the simultaneous null controllability with constraint on the control, for a linear system of two coupled parabolic equations. Our last study deals with the null controllability ofa non linear system oftwo coupled parabolic equations. We approach these controllability problems mainly by means of Carleman's inequalities. Indeed, the study of null controllability problems, and more generally exact controllability problems, is equivalent to obtain observability inequalities for the adjoint problem, consequences of Carleman's inequalities. We build the optimal controlusing the variationnal method and we characterize it by an optimality system
Kaddouri, Isma. "Problèmes inverses pour des problèmes d'évolution paraboliques à coefficients périodiques." Electronic Thesis or Diss., Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4322.
This thesis consists in the study of two problems associated to inverse para-bolic equations with periodic coefficients. We are interested in identifying one coefficient by using two different methods. In the first part, we consider a parabolic equation with periodic coefficients and periodic initial condition. Our work consists to consider the case of coefficient with weak regularity and to minimize the constraints of observations which are required to establish our reconstruction result. We establish a result of existence and uniqueness of the solution in adequate energy space. Then we prove a maximum principle adapted to the hypothesis of the problem studied and we work with measurable and bounded coefficients. Finally, we reconstruct the potential by establishing a Carleman estimate. The identification result was achieved via an inequality of stability. In the second work, we are interested to determine a periodic coefficient of the reaction term defined in the whole space ℝ. We establish a uniqueness result by using a new type of observations. The nature of the studied problem allowed us to use the notion of asymptotic speed of propagation. We prove the existence of this speed and we give its characterization. We overdetermin the inverse problem by choosing a family of initial conditions exponentially decaying. Our main result is that the coefficient is uniquely determined up to a symmetry, by the observation of a continuum of asymptotic speed of propagation
Gisclon, Marguerite. "Etude des conditions aux limites pour des systèmes strictement hyperboliques, via l'approximation parabolique." Lyon 1, 1994. http://www.theses.fr/1994LYO10294.
Moutazaim, Fathallah. "EEtude de quelques problèmes inverses : parabolique et elliptique, à partir de données sur le bord d'un domaine borné." Compiègne, 1999. http://www.theses.fr/1999COMP1207.
Schweyer, Rémi. "Étude de l'existence et de la stabilité de dynamiques explosives pour des problèmes paraboliques critiques." Toulouse 3, 2013. http://thesesups.ups-tlse.fr/1994/.
In this thesis, we have obtained a sharp description of blow-up dynamics (Universality of the bubble and the speed of the concentration, stability of the formation of the singularity) for three critical parabolic problems : harmonic heat flow in dimension two for the 1-corotational solutions, the energy critical semilinear heat flow in dimension four and the Patlak-Keller-Segel model in the parabolic-elliptic version, for supercritical mass solutions (M>8p). The first four chapters are devoted to the presentation of each problem, as well as the strategy of the proof. In the last three chapters have been placed submitted articles
Ben, slimene Byrame. "Comportement asymptotique des solutions globales pour quelques problèmes paraboliques non linéaires singuliers." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCD059/document.
In this thesis, we study the nonlinear parabolic equation ∂ t u = ∆u + a |x|⎺⥾ |u|ᵅ u, t > 0, x ∈ Rᴺ \ {0}, N ≥ 1, ⍺ ∈ R, α > 0, 0 < Ƴ < min(2,N) and with initial value u(0) = φ. We establish local well-posedness in Lq(Rᴺ) and in Cₒ(Rᴺ). In particular, the value q = N ⍺/(2 − γ) plays a critical role.For ⍺ > (2 − γ)/N, we show the existence of global self-similar solutions with initial values φ(x) = ω(x) |x|−(2−γ)/⍺, where ω ∈ L∞(Rᴺ) is homogeneous of degree 0 and ||ω||∞ is sufficiently small. We then prove that if φ(x)∼ω(x) |x| ⎺(²⎺⥾)/⍺ for |x| large, then the solution is global and is asymptotic in the L∞-norm to a self-similar solution of the nonlinear equation. While if φ(x)∼ω(x) |x| (x)|x|−σ for |x| large with (2 − γ)/α < σ < N, then the solution is global but is asymptotic in the L∞-norm toe t(ω(x) |x|−σ). The equation with more general potential, ∂ t u = ∆u + V(x) |u|ᵅ u, V(x) |x |⥾ ∈ L∞(Rᴺ), is also studied. In particular, for initial data φ(x)∼ω(x) |x| ⎺(²⎺⥾)/⍺, |x| large , we show that the large time behavior is linear if V is compactly supported near the origin, while it is nonlinear if V is compactly supported near infinity. we study also the nonlinear parabolic system ∂ t u = ∆u + a |x|⎺⥾ |v|ᴾ⎺¹v, ∂ t v = ∆v + b |x|⎺ ᴾ |u|q⎺¹ u, t > 0, x ∈ Rᴺ \ {0}, N ≥ 1, a,b ∈ R, 0 < y < min(2,N)? 0 < p < min(2,N), p,q > 1. Under conditions on the parameters p, q, γ and ρ we show the existence and uniqueness of global solutions for initial values small with respect of some norms. In particular, we show the existence of self-similar solutions with initial value Φ = (φ₁, φ₂), where φ₁, φ₂ are homogeneous initial data. We also prove that some global solutions are asymptotic for large time to self-similar solutions. As a second objective we consider the nonlinear heat equation ut = ∆u + |u|ᴾ⎺¹u - |u| q⎺¹u, where t ≥ 0 and x ∈ Ω, the unit ball of Rᴺ, N ≥ 3, with Dirichlet boundary conditions. Let h be a radially symmetric, sign-changing stationary solution of (E). We prove that the solution of (E) with initial value λ h blows up in finite time if |λ − 1| > 0 is sufficiently small and if 1 < q < p < Ps = N+2/N−2 and p sufficiently close to Ps. This proves that the set of initial data for which the solution is global is not star-shaped around 0
Mokrane, Abdelhafid. "Existence de solutions pour certains problèmes quasi linéaires elliptiques et paraboliques." Paris 6, 1986. http://www.theses.fr/1986PA066086.
Schweyer, Rémi. "Etude de l'existence et de la stabilité de dynamiques explosives pour des problèmes paraboliques critiques." Phd thesis, Université Paul Sabatier - Toulouse III, 2013. http://tel.archives-ouvertes.fr/tel-00969133.
Книги з теми "Problèmes Parabolique":
Choulli, Mourad. Une introduction aux problèmes inverses elliptiques et paraboliques. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02460-3.
Choulli, Mourad. Une introduction aux problèmes inverses elliptiques et paraboliques. Verlag: Springer, 2009.
Ėĭdelʹman, S. D. Parabolic boundary value problems. Basel: Birkhäuser Verlag, 1998.
Choulli, Mourad. Introduction Aux Problèmes Inverses Elliptiques et Paraboliques. Springer London, Limited, 2009.
Eidelman, Samuil D., and Nicolae V. Zhitarashu. Parabolic Boundary Value Problems (Operator Theory: Advances and Applications). Birkhauser, 1999.
Eidelman, Samuil D. Parabolic Boundary Value Problems. Birkhäuser, 2012.
Eidelman, Samuil D., and Nicolae V. Zhitarashu. Parabolic Boundary Value Problems. Birkhauser Verlag, 2012.
(Editor), M. A. Shubin, and C. Constanda (Translator), eds. Partial Differential Equations : Overdetermined Systems Index of Elliptic Operators (Encyclopaedia of Mathematical Sciences , No 8). Springer, 1997.
Частини книг з теми "Problèmes Parabolique":
Choulli, Mourad. "Problèmes inverses paraboliques." In Mathématiques et Applications, 160–237. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02460-3_3.