Sommaire du Fascicule no. 1

Racines carrées d’opérateurs elliptiques et espaces de Hardy
Homogeneity and prime models in torsion-free hyperbolic groups

Sommaire du Fascicule no. 2

Preface
The analysis of matched layers
On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current
Transformation du problème de résolution de systèmes de Toeplitz biniveaux à un problème polynomial
A position-based time-stepping algorithm for vibro-impact problems with a moving set of constraints
Positive Liouville theorems and asymptotic behavior for p-laplacian type elliptic equations with a Fuchsian potential
Time-harmonic Maxwell equations in biological cells — the differential form formalism to treat the thin layer

Sommaire du Fascicule no. 3

Preface
A modified least action principle allowing mass concentrations for the early universe reconstruction problem
A general wavelet-based profile decomposition in the critical embedding of function spaces
Adaptive time splitting method for multi-scale evolutionary partial differential equations
Singular shocks: retrospective and prospective
A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations
Stability, convergence and order of the extrapolations of the residual smoothing scheme in energy norm
Hydro-elastic waves in a cochlear model: Numerical simulations and an analytically reduced model
Three-dimensional interaction of shocks in irrotational flows

Sommaire du Fascicule no. 4

Affine Nash groups over real closed fields
Quantifier elimination in ordered abelian groups
On the gradient flow of a one-homogeneous functional
The multiplicative property characterizes ℓp and Lp norms