Existence d'une Solution
New effective pressure and existence of global strong solution for compressible Navier-Stokes equations with general viscosity coefficient in one dimension
... the existence of global weak solution for general viscosity coefficients with initial density admitting shocks and with initial velocity belonging to the set of finite ...
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Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
... 1.3. Main results. As a first step for a rigorous mathematical analysis of the stochastic model, in Section 2, we will prove existence and uniqueness of a solution to (1.1) when the initial condition u 0 ...
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Existence of global strong solution for Korteweg system in one dimension for strongly degenerate viscosity coefficients
... of existence of global strong solution with degenerate viscosity ...the existence of global strong solution in finite time is well known (see [13, 14]); so in order to show the ...
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Revisiting Fortet's proof of existence of a solution to the Schrödinger system
... of existence of a solution to this problem dates back to 1940, when Fortet published an article on the ...of existence and uniqueness of a solution to the Schrödinger system is ...
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Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at u = 0
... the Existence Theorem 4.1 below). We also prove that this solution is stable with respect to variations of the right- hand side (see the Stability Theorem ...this solution is unique (see the ...
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The Stochastic Heat Equation with a Fractional-Colored Noise: Existence of the Solution
... The solution of the equation will be given in the mild formulation, but can also be viewed as a distribution ...the existence of the process ...the solution is a Gaussian process, and hence ...
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Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
... local solution in time through a semigroup approach, but that applies to fairly general ionic ...of existence and uniqueness of a global solution in time is obtained using a compactness argument, ...
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Existence et incité de la solution d'une équation différentielle fractionnaire impulsive de temps infini dans un espace de banach
... of existence and uniqueness of solutions to fractional differential equations where we investigate two types of such equations in Banach ...with existence, uniqueness and stability of the solution of ...
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Existence of a global weak solution for a reaction-diffusion problem with membrane conditions
... concerning existence of solutions and regularity of solutions in the case of the reaction-diusion systems with Kedem-Katchalsky conditions ...global existence of a weak solution for the problem (1) ...
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Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces
... the existence of strong solution with D[ρ] = ∆ρ is known since the work by Hattori an Li in [13], [14] in the whole space R N ...the existence and uniqueness in finite time for two-dimensional ...
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Existence de solution antipériodique de l’équation impulsive de Liénard avec une force Henstock-Kurzweil intégrable
... de solution en quête, plusieurs methodes ont été développées comme celle de la théorie de groupe de Lie pour réduire le degré de l’équation (EDO) ou le nombre de variables (EDP), l’analyse des singularités de ...
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Existence et positivité de la solution d’un problème aux limites fractionnaire
... of existence and ...the existence and uniqueness of solutions by using Banach contraction principle and Leray-Schauder nonlinear alternative, we investigate the positivity of solution by using ...
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Stress gradient elasticity theory : existence and uniqueness of solution
... Our article is organized as follows. After setting the notations used throughout this work in Section 2, the balance and constitutive equations of the stress gradient theory are recalled in the context of linear ...
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Existence et unicité de solution d'une équation différentielle fractionnaire du type volterra avec retard
... de solution d’une équa- tion di¤érentielle fractionnaires non linéaire du type voltérra à retard avec une condition initiale qui dépend de la nature de la dérivée fractionnaire , cette condi- tion permet d’établir ...
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Existence de Solutions pour une Classe d’EDFs
... 2.2 Problème Intégral 13 Dans ce chapitre, on présente une approche similaire de celle de Yan and al. [15] pour résoudre ce qui semble la même équation di¤érentielle fractionnaire avec des conditions aux limites mais la ...
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Solution périodique et solution anti-périodique de l'équation différentielle d'Abel
... d’une solution T-anti-périodique de cette équation pour les cas impulsifs et non ...la solution, ce qui entraine la possibilité de trouver la solution ...
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L existence et l unicité de la solution stricte d un problème aux limites et de transmission sur un domaine avec couche mince
... les conditions non homogènes dans le cadre des espaces de Hölder. Notre travail consiste à une synthèse de l’article de O. Belhamiti, R. Labbas, K. Lem- brabet et A. Medeghri [3], dans cette article les auteurs ont ...
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Existence and uniqueness of propagating terraces
... The existence of a pulsating traveling wave for a spatially periodic bistable nonlinearity is a particular case to which Proposition ...the solution starting from a Heaviside function like initial datum ...
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Existence of Multimodal Standing Gravity Waves
... L w ′ f = (1 + Hw ′ )f − w ′ Hf D = (1 + Hw ′ ) 2 + w ′2 . For eliminating solutions deduced by shifting time and x origins, we look for solutions of (1) which are even in x and in t. Moreover, we restrict our study to ...
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Existence results for integral viscoelastic fluids
... and ∂ s G old . Their expressions will be detailed in the proof. The existence of a unique solution to (4.2) follows from the application of the method of characteristics. Some details are given in [15] ...
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