Sommaire du Fascicule no. 1

Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation
p. 1-26
A (rough) pathwise approach to a class of non-linear stochastic partial differential equations
p. 27-46
Ultra-parabolic H-measures and compensated compactness
p. 47-62
Monotonicity constraints and supercritical Neumann problems
p. 63-74
Finite-dimensionality in Tanaka theory
p. 75-90
An inverse function theorem in Fréchet spaces
p. 91-105
Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains
p. 107-126
On the energy exchange between resonant modes in nonlinear Schrödinger equations
[Echange d'énergie entre modes résonants dans une équation de Schrödinger non linéaire cubique]
p. 127-134
Continuous dependence for NLS in fractional order spaces
p. 135-147

Sommaire du Fascicule no. 2

Some nonlinear differential inequalities and an application to Hölder continuous almost complex structures
p. 149-157
An alternative approach to regularity for the Navier–Stokes equations in critical spaces
p. 159-187
Uniqueness of post-gelation solutions of a class of coagulation equations
p. 189-215
Gradient flow of the Chapman–Rubinstein–Schatzman model for signed vortices
p. 217-246
A compactness result for Landau state in thin-film micromagnetics
p. 247-282
Global well-posedness for an advection–diffusion equation arising in magneto-geostrophic dynamics
p. 283-301
On the large-distance asymptotics of steady state solutions of the Navier–Stokes equations in 3D exterior domains
p. 303-313
Orbital stability of semitrivial standing waves for the Klein–Gordon–Schrödinger system
p. 315-323

Sommaire du Fascicule no. 3

Minimizing L ∞ -norm functional on divergence-free fields
p. 325-355
Two soliton collision for nonlinear Schrödinger equations in dimension 1
p. 357-384
Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation
p. 385-393
Higher differentiability of minimizers of convex variational integrals
p. 395-411
Entropy solution theory for fractional degenerate convection–diffusion equations
p. 413-441
The uniform Korn–Poincaré inequality in thin domains
[Lʼinégalité de Korn–Poincaré dans les domaines minces]
p. 443-469

Sommaire du Fascicule no. 4

Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations
p. 471-483
Existence of weak solutions to the three-dimensional steady compressible Navier–Stokes equations
p. 485-498
Nash–Moser iteration and singular perturbations
p. 499-527
Well-posedness of a diffusive gyro-kinetic model
p. 529-550
A local symmetry result for linear elliptic problems with solutions changing sign
p. 551-564
Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium
p. 565-582
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
p. 583-598
On the uniqueness of sign changing bound state solutions of a semilinear equation
p. 599-621
Global weak solutions for a modified two-component Camassa–Holm equation
p. 623-641

Sommaire du Fascicule no. 5

A coupled chemotaxis-fluid model: Global existence
p. 643-652
Global well-posedness for the KP-II equation on the background of a non-localized solution
p. 653-676
Boundary layers for compressible Navier–Stokes equations with density-dependent viscosity and cylindrical symmetry
p. 677-709
Reaction–diffusion front speed enhancement by flows
p. 711-726
Existence of weak solutions for the incompressible Euler equations
p. 727-730
The strong minimum principle for quasisuperminimizers of non-standard growth
p. 731-742
Selfsimilar expanders of the harmonic map flow
p. 743-773

Sommaire du Fascicule no. 6

Superharmonic functions are locally renormalized solutions
p. 775-795
On a model in radiation hydrodynamics
p. 797-812
Ricci flow of conformally compact metrics
p. 813-835
Existence of self-dual non-topological solutions in the Chern–Simons Higgs model
p. 837-852
Local well-posedness and blow-up in the energy space for a class of L 2 critical dispersion generalized Benjamin–Ono equations
p. 853-887
Expanding measures
p. 889-939
Commutability of homogenization and linearization at identity in finite elasticity and applications
p. 941-964
Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
p. 965-981
Erratum
p. 983-984