scholarly journals Ondes dans les milieux poroélastiques - Analyse du modèle de Biot

2006 ◽  
Vol Volume 5, Special Issue TAM... ◽  
Author(s):  
Abdelaaziz Ezziani
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Mathematical Analysis ◽  
Existence And Uniqueness ◽  
Uniqueness Result ◽  
Poroelastic Media ◽  
Solution Analytique ◽  
International Audience ◽  
Model Existence ◽  
Biot’S Model

International audience We are interested in the modeling of wave propagation in poroelastic media. We consider the biphasic Biot's model. This paper is devoted to the mathematical analysis of such model : existence and uniqueness result, energy decay result and the calculation of an analytical solution. Nous nous intéressons à la modèlisation de la propagation d'ondes dans les milieux poroélastiques. Nous considérons le modèle bi-phasique de Biot. Ce papier est consacré à l'analyse mathématique de ce modèle : résultats d'existence et d'unicité, décroissance de l'énergie et le calcul d'une solution analytique.

scholarly journals On a 1D-Shallow Water Model: Existence of solution and numerical simulations

2008 ◽  
Vol Volume 9, 2007 Conference in... ◽  
Author(s):  
Olivier Besson ◽  
Soulèye Kane ◽  
Mamadou Sy
Keyword(s):  
Numerical Simulations ◽  
Shallow Water ◽  
Existence And Uniqueness ◽  
Existence Of Solution ◽  
Water Model ◽  
Shallow Water Model ◽  
Flood Prediction ◽  
International Audience ◽  
Linearized System ◽  
Model Existence

International audience The study of a 1D-shallow water model, obtained in a height-flow formulation, is presented. It takes viscosity into account and can be used for the flood prediction in rivers. For a linearized system, the existence and uniqueness of a global solution is proved. Finally, various numerical results are presented regarding the linear and non linear case. Nous dérivons les équations de Saint-Venant complètes avec la formulation hauteur-débit. La viscosité est prise en compte dans le modèle. Pour le système linéarisé, l’existence et l’unicité de solution globale est montrée. Des resultats numériques sont présentés aussi bien dans le cas linéaire que non linéaire.

scholarly journals A Uniqueness Result for a Simple Superlinear Eigenvalue Problem

2021 ◽  
Vol 31 (2) ◽  
Author(s):  
Michael Herrmann ◽  
Karsten Matthies
Keyword(s):  
Eigenvalue Problem ◽  
Numerical Simulations ◽  
Convolution Operator ◽  
Existence And Uniqueness ◽  
Uniqueness Result ◽  
Constitutive Laws ◽  
Parameter Family ◽  
Shape Constraint ◽  
Special Case ◽  
Nonlinear Eigenfunctions

AbstractWe study the eigenvalue problem for a superlinear convolution operator in the special case of bilinear constitutive laws and establish the existence and uniqueness of a one-parameter family of nonlinear eigenfunctions under a topological shape constraint. Our proof uses a nonlinear change of scalar parameters and applies Krein–Rutman arguments to a linear substitute problem. We also present numerical simulations and discuss the asymptotics of two limiting cases.

DISSIPATIVE BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONS

2006 ◽  
Vol 09 (01) ◽  
pp. 155-168 ◽  
Author(s):  
FULVIA CONFORTOLA
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Hilbert Spaces ◽  
Stochastic Partial Differential Equations ◽  
Existence And Uniqueness ◽  
Backward Stochastic Differential Equations ◽  
Uniqueness Result ◽  
Infinite Dimensions ◽  
Partial Differential

We prove an existence and uniqueness result for a class of backward stochastic differential equations (BSDE) with dissipative drift in Hilbert spaces. We also give examples of stochastic partial differential equations which can be solved with our result.

The eigenvalue problem for Hessian type operator

2021 ◽  
Author(s):  
Xinqun Mei
Keyword(s):  
Eigenvalue Problem ◽  
Existence And Uniqueness ◽  
Dirichlet Boundary ◽  
Type Equation ◽  
Uniqueness Result ◽  
Type Operator

In this paper, we establish a global [Formula: see text] estimates for a Hessian type equation with homogeneous Dirichlet boundary. By the method of sub and sup solution, we get an existence and uniqueness result for the eigenvalue problem of a Hessian type operator.

An Analytical Solution for Wave Propagation in a Pipe Pile with Multiple Defects

2019 ◽  
Vol 33 (2) ◽  
pp. 251-267 ◽  
Author(s):  
Xuanming Ding ◽  
Lubao Luan ◽  
Changjie Zheng ◽  
Guoxiong Mei ◽  
Hang Zhou
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Pipe Pile ◽  
Multiple Defects

scholarly journals On Hartree–Fock Systems

VLSI Design ◽  
1999 ◽  
Vol 9 (4) ◽  
pp. 357-364
Author(s):  
I. Gasser
Keyword(s):  
Existence And Uniqueness ◽  
Semiclassical Limit ◽  
Uniqueness Result ◽  
Nonlinear Schrödinger ◽  
Hartree Fock ◽  
Self Consistent ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

We show an existence and uniqueness result for mildly nonlinear Schrödinger systems of (self-consistent) Hartree–Fock form. We also shortly resume the already existing results on the semiclassical limit and the asymptotic and dispersive behavior of such systems.

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