Sommaire du Fascicule no. 1

An Integral Equation in Conformal Geometry
Characteristic Vector Fields of Generic Distributions of Corank 2
On Weakly Harmonic Maps From Finsler to Riemannian Manifolds
Asymptotic Analysis, in a Thin Multidomain, of Minimizing Maps With Values in S 2
Isoperimetric Profile and Uniqueness for Neumann Problems
Nodal Domains and Spectral Minimal Partitions
Morse Theory for Indefinite Nonlinear Elliptic Problems
Hölder Continuity of Solutions of Supercritical Dissipative Hydrodynamic Transport Equations
A Stochastic Lagrangian Proof of Global Existence of the Navier-Stokes Equations for Flows With Small Reynolds Number
On the Spectrum of a Nonlinear Planar Problem
Anti-Symmetric Hamiltonians (II) : Variational Resolutions for Navier-Stokes and Other Nonlinear Evolutions
Global Boundary Controllability of the Saint-Venant System for Sloped Canals With Friction
Exponential Convergence for a Periodically Driven Semilinear Heat Equation
On the Geometry of Null Cones in Einstein-Vacuum Spacetimes
Controllability of the Discrete-Spectrum Schrödinger Equation Driven by an External Field

Sommaire du Fascicule no. 2

A Variational Approach to the Local Character of G-Closure : the Convex Case
Random Homogenization of an Obstacle Problem
Multiple Positive Solutions for a Critical Quasilinear Equation Via Morse Theory
Existence and Uniqueness for a Nonlinear Parabolic/Hamilton-Jacobi Coupled System Describing the Dynamics of Dislocation Densities
Metrics of Constant Curvature on a Riemann Surface With Two Corners on the Boundary
Boundary Controllability for the Nonlinear Korteweg-De Vries Equation on Any Critical Domain
Transverse Nonlinear Instability for Two-Dimensional Dispersive Models
Asymptotic Analysis of the p-Laplacian Flow in an Exterior Domain
Minimizers of Dirichlet Functionals on the n-Torus and the Weak KAM Theory
Singular Asymptotic Expansions for Dirichlet Eigenvalues and Eigenfunctions of the Laplacian on Thin Planar Domains
Second-Order Analysis for Optimal Control Problems With Pure State Constraints and Mixed Control-State Constraints
Wellposedness and Stability Results for the Navier-Stokes Equations in 𝐑 3
Asymptotic Stability of Oseen Vortices for a Density-Dependent Incompressible Viscous Fluid
Null Controllability of the Complex Ginzburg-Landau Equation
Multiple Critical Points of Perturbed Symmetric Strongly Indefinite Functionals
Geometric Expansion, Lyapunov Exponents and Foliations

Sommaire du Fascicule no. 3

Hydrodynamic Limits : Some Improvements of the Relative Entropy Method
A Smoothing Property for the L 2 -Critical NLS Equations and an Application to Blowup Theory
Killing Graphs With Prescribed Mean Curvature and Riemannian Submersions
A Regularity Result for a Solid-Fluid System Associated to the Compressible Navier-Stokes Equations
Asymptotic Spreading of KPP Reactive Fronts in Incompressible Space-Time Random Flows
On the Periodic KdV Equation in Weighted Sobolev Spaces
Global Attraction to Solitary Waves for Klein-Gordon Equation With Mean Field Interaction
On the Complex Structure of Positive Solutions to Matukuma-Type Equations
Large Solutions for the Laplacian With a Power Nonlinearity Given by a Variable Exponent
Entire Spacelike Radial Graphs in the Minkowski Space, Asymptotic to the Light-Cone, With Prescribed Scalar Curvature
Well-Posedness and Scattering for the KP-II Equation in a Critical Space
Standing Waves for Nonlinear Schrödinger Equations With Singular Potentials
WKB Analysis for the Gross-Pitaevskii Equation With Non-Trivial Boundary Conditions at Infinity
Homogenization of Periodic Semilinear Parabolic Degenerate PDEs
Error Estimates on Homogenization of Free Boundary Velocities in Periodic Media
Traveling Waves in a One-Dimensional Heterogeneous Medium
Erratum to : “Multiple Critical Points of Perturbed Symmetric Strongly Indefinite Functionals”

Sommaire du Fascicule no. 4

A Vanishing Viscosity Approach to a Quasistatic Evolution Problem With Nonconvex Energy
Conjugate and Cut Loci of a Two-Sphere of Revolution With Application to Optimal Control
Liouville Results for m-Laplace Equations of Lane-Emden-Fowler Type
Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve
Regularity of the Optimal Shape for the First Eigenvalue of the Laplacian With Volume and Inclusion Constraints
Cohomologically Rigid Vector Fields : the Katok Conjecture in Dimension 3
Existence of Minimizers of Free Autonomous Variational Problems Via Solvability of Constrained Ones
Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion
Vortex Analysis of the Periodic Ginzburg-Landau Model
Continuation of Relative Periodic Orbits in a Class of Triatomic Hamiltonian Systems
New Isoperimetric Estimates for Solutions to Monge-Ampère Equations
Singly Periodic Solutions of a Semilinear Equation
Uniqueness of Values of Aronsson Operators and Running Costs in “tug-of-War” Games
A Generalization of Aubry-Mather Theory to Partial Differential Equations and Pseudo-Differential Equations
Moving Domain Walls in Magnetic Nanowires
On Asymptotic Stability in Energy Space of Ground States of NLS in 2D
On Polyharmonic Maps Into Spheres in the Critical Dimension
Peano Type Theorem for Abstract Parabolic Equations
Existence, Multiplicity and Profile of Sign-Changing Clustered Solutions of a Semiclassical Nonlinear Schrödinger Equation
Good Banach Spaces for Piecewise Hyperbolic Maps Via Interpolation
The Symplectic Structure of Curves in Three Dimensional Spaces of Constant Curvature and the Equations of Mathematical Physics
Stability of Multipeakons
Decay of Geometry for Fibonacci Critical Covering Maps of the Circle

Sommaire du Fascicule no. 5

Global Existence for Degenerate Quadratic Reaction-Diffusion Systems
A Note on Constant Geodesic Curvature Curves on Surfaces
An Optimal Partial Regularity Result for Minimizers of an Intrinsically Defined Second-Order Functional
A Regularity Criterion for the Dissipative Quasi-Geostrophic Equations
Finding New Families of Rank-One Convex Polynomials
The Normal Form of the Navier-Stokes Equations in Suitable Normed Spaces
Strong Convergence Towards Homogeneous Cooling States for Dissipative Maxwell Models
Existence and Symmetry of Least Energy Solutions for a Class of Quasi-Linear Elliptic Equations
On the Pullback Equation φ * g=f
Lyapunov Control of a Quantum Particle in a Decaying Potential
Boundary Blow-Up Solutions of Cooperative Systems
Some Controllability Results for the 2D Kolmogorov Equation
Strichartz Estimates for the Wave Equation on Manifolds With Boundary
Global Well-Posedness and Scattering for the Defocusing H 1 2 -Subcritical Hartree Equation in R d
Nonlinear Schrödinger Equation on Real Hyperbolic Spaces
Critical Mass Phenomenon for a Chemotaxis Kinetic Model With Spherically Symmetric Initial Data
Generalised Twists, SO n, and the p-Energy Over a Space of Measure Preserving Maps
Conservation Laws on Complex Networks
Partial Regularity Results Up to the Boundary for Harmonic Maps Into a Finsler Manifold
Density of Hyperbolicity and Tangencies in Sectional Dissipative Regions
Uniqueness of Solutions to Degenerate Elliptic Problems With Unbounded Coefficients
Navier-Stokes Equations With Nonhomogeneous Boundary Conditions in a Convex Bi-Dimensional Domain

Sommaire du Fascicule no. 6

Asymmetric Potentials and Motor Effect : a Homogenization Approach
Two Solvable Systems of Coagulation Equations With Limited Aggregations
On the Uniqueness of the Second Bound State Solution of a Semilinear Equation
Approximate Controllability for a System of Schrödinger Equations Modeling a Single Trapped Ion
Quasistatic Evolution in the Theory of Perfect Elasto-Plastic Plates. Part II : Regularity of Bending Moments
On the Uniqueness of Weak Solutions for the 3D Navier-Stokes Equations
On the Controllability of the Fifth-Order Korteweg-De Vries Equation
Stability of Solitary Waves for a System of Nonlinear Schrödinger Equations With Three Wave Interaction
The Lifespan of Spherically Symmetric Solutions of the Compressible Euler Equations Outside an Impermeable Sphere
Global Well-Posedness and Scattering for the Derivative Nonlinear Schrödinger Equation With Small Rough Data
A Representation Formula for the Voltage Perturbations Caused by Diametrically Small Conductivity Inhomogeneities. Proof of Uniform Validity
The Optimal Shape of a Dendrite Sealed at Both Ends
On KP-II Type Equations on Cylinders
On the Two-Phase Membrane Problem With Coefficients Below the Lipschitz Threshold
Exact Boundary Controllability for Quasilinear Wave Equations in a Planar Tree-Like Network of Strings
Random Data Cauchy Problem for Supercritical Schrödinger Equations
Existence of Weak Solutions for a Non-Classical Sharp Interface Model for a Two-Phase Flow of Viscous, Incompressible Fluids
Existence of Minimizers for Kohn-Sham Models in Quantum Chemistry
Homogenization of p-Laplacian in Perforated Domain
Liouville Type Results for Periodic and Almost Periodic Linear Operators
Controllability on the Group of Diffeomorphisms
A Refined Brunn-Minkowski Inequality for Convex Sets
Vanishing Viscosity Limit for an Expanding Domain in Space
Constructing a Relativistic Heat Flow by Transport Time Steps
px-Harmonic Functions With Unbounded Exponent in a Subdomain