Computing optimal control with a quasilinear parabolic partial differential equation.
Computing the differential of an unfolded contact diffeomorphism
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of . Singularity classes containing bifurcation points with , are considered.
Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems
Concentrated forces. Asymptotic study
Concentration and dynamic system of solutions for semilinear elliptic equations.
Concentration des solutions d'équations elliptiques avec nonlinéarité critique
Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence analytically...
Concentration of low energy extremals
Concentration of solutions to elliptic equations with critical nonlinearity
Concentration phenomena for fourth-order elliptic equations with critical exponent.
Concentration phenomena for Liouville's equation in dimension four
Concentration phenomena for solutions of superlinear elliptic problems
Concentration phenomena of two-vortex solutions in a Chern-Simons model
By considering an abelian Chern-Simons model, we are led to study the existence of solutions of the Liouville equation with singularities on a flat torus. A non-existence and degree counting for solutions are obtained. The former result has an application in the Chern-Simons model.
Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients
Concentration-compactness principle for variable exponent spaces and applications.
Concept de zoom adaptatif en architecture multigrille locale ; étude comparative des méthodes L.D.C., F.A.C. et F.I.C.
Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
Concepts—An object-oriented software package for partial differential equations
Object oriented design has proven itself as a powerful tool in the field of scientific computing. Several software packages, libraries and toolkits exist, in particular in the FEM arena that follow this design methodology providing extensible, reusable, and flexible software while staying competitive to traditionally designed point tools in terms of efficiency. However, the common approach to identify classes is to turn data structures and algorithms of traditional implementations into classes such...
Concepts—An Object-Oriented Software Package for Partial Differential Equations
Object oriented design has proven itself as a powerful tool in the field of scientific computing. Several software packages, libraries and toolkits exist, in particular in the FEM arena that follow this design methodology providing extensible, reusable, and flexible software while staying competitive to traditionally designed point tools in terms of efficiency. However, the common approach to identify classes is to turn data structures and algorithms of traditional implementations into ...
Concerning Cesari's theorems