Strongly nonlinear elliptic unilateral problems in Orlicz space and data.
Strongly nonlinear elliptic variational unilateral problems in Orlicz space.
Strongly nonlinear parabolic equations with natural growth terms and data in Orlicz spaces.
Strongly nonlinear parabolic initial-boundary value problems in Orlicz spaces.
Strongly nonlinear problem of infinite order with data.
Structural evolution of the Taylor vortices
Structural Evolution of the Taylor Vortices
We classify in this article the structure and its transitions/evolution of the Taylor vortices with perturbations in one of the following categories: a) the Hamiltonian vector fields, b) the divergence-free vector fields, and c). the solutions of the Navier-Stokes equations on the two-dimensional torus. This is part of a project oriented toward to developing a geometric theory of incompressible fluid flows in the physical spaces.
Structural stability for Brinkman-Forchheimer equations.
Structure cantorienne du spectre de l'opérateur de Harper
Structure of distribution null-solutions to Fuchsian partial differential equations
Structure of entropy solutions to the eikonal equation
Structure of Green's operators and estimates for the corresponding eigenvalues
Structure of S-matrices for three body Schrödinger operators
Structure of stable solutions of a one-dimensional variational problem
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher order variational problem. The results extend and complement an earlier work of Stefan Müller which concerns the structure of global minimizer. The energy functional studied in this work is motivated by the investigation of coherent solid phase transformations and the competition between the effects from regularization and formation of small scale structures. With a special choice of a bilinear double...
Structure of symmetry groups via Cartan's method: survey of four approaches.
Structure Properties of Solutions of some Fuchsian Hyperbolic Equations.
Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform.
Study of a complete abstract differential equation of elliptic type with variable operator coefficients, I.
Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law
In this paper, we are interested in modelling the flow of the coolant (water) in a nuclear reactor core. To this end, we use a monodimensional low Mach number model supplemented with the stiffened gas law. We take into account potential phase transitions by a single equation of state which describes both pure and mixture phases. In some particular cases, we give analytical steady and/or unsteady solutions which provide qualitative information about the flow. In the second part of the paper, we introduce...
Study of a three component Cahn-Hilliard flow model
In this paper, we propose a new diffuse interface model for the study of three immiscible component incompressible viscous flows. The model is based on the Cahn-Hilliard free energy approach. The originality of our study lies in particular in the choice of the bulk free energy. We show that one must take care of this choice in order for the model to give physically relevant results. More precisely, we give conditions for the model to be well-posed and to satisfy algebraically and dynamically consistency...