On Tartar's conjecture
On tensor functions whose gradients have some skew-symmetries
Let be a real inner product space of any dimension; and let be a -map relating any two tensor spaces on . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these systems appear...
On the Abel basis property of the system of root vector-functions of degenerate elliptic differential operators with singular matrix coefficients.
On the absence of Poincaré lemma for some systems of partial differential equations
On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes
On the accuracy of asymptotic approximations for longitudinal deformation of a thin plate
On the accuracy of multigrid truncation error estimates.
On the acoustic impedence condition for ondulated boundary
On the age-dependent predator-prey model
The paper deals with the description of a model which is the synthesis of two classical models, the Lotka-Volterra and McKendrick-von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.
On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field.
On the analysis of an endothermal/exothermal saturation problem
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for designing efficient numerical absorbing layers in electromagnetism. We make a mathematical analysis of this model, first via a modal analysis with standard Fourier techniques, then via energy techniques. We obtain uniform in time stability results (that make precise some results known in the literature) and state some energy decay results that illustrate the absorbing properties of the model. This last...
On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for designing efficient numerical absorbing layers in electromagnetism. We make a mathematical analysis of this model, first via a modal analysis with standard Fourier techniques, then via energy techniques. We obtain uniform in time stability results (that make precise some results known in the literature) and state some energy decay results that illustrate the absorbing properties of the model. This...
On the analytical and numerical treatment of a class of PDE's with the application to some two-valley semiconductor.
On the angle condition for the perturbation of elliptic systems
On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples
This paper deals with the newly observed singularities of the solutions of some specific examples of weakly hyperbolic semilinear systems in R². Two, respectively three, characteristics are supposed to be mutually tangential at the origin only and the initial data are continuous only. The exact strength of the new-born singularities is investigated too.
On the antimaximum principle for parabolic periodic problems with weight.
On the application of mixed finite element methods to the wave equations
On the approximation of continuous functions by solutions to partial complex differential equations
On the approximation of eigenvalues of non-selfadjoint operators