Issue no. 1 Table of Contents

Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation
A (rough) pathwise approach to a class of non-linear stochastic partial differential equations
Ultra-parabolic H-measures and compensated compactness
Monotonicity constraints and supercritical Neumann problems
Finite-dimensionality in Tanaka theory
An inverse function theorem in Fréchet spaces
Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains
On the energy exchange between resonant modes in nonlinear Schrödinger equations
Continuous dependence for NLS in fractional order spaces

Issue no. 2 Table of Contents

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

Issue no. 3 Table of Contents

Minimizing L ∞ -norm functional on divergence-free fields
Two soliton collision for nonlinear Schrödinger equations in dimension 1
Some existence results on the exterior Dirichlet problem for the minimal hypersurface equation
Higher differentiability of minimizers of convex variational integrals
Entropy solution theory for fractional degenerate convection–diffusion equations
The uniform Korn–Poincaré inequality in thin domains

Issue no. 4 Table of Contents

Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations
Existence of weak solutions to the three-dimensional steady compressible Navier–Stokes equations
Nash–Moser iteration and singular perturbations
Well-posedness of a diffusive gyro-kinetic model
A local symmetry result for linear elliptic problems with solutions changing sign
Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
On the uniqueness of sign changing bound state solutions of a semilinear equation
Global weak solutions for a modified two-component Camassa–Holm equation

Issue no. 5 Table of Contents

A coupled chemotaxis-fluid model: Global existence
Global well-posedness for the KP-II equation on the background of a non-localized solution
Boundary layers for compressible Navier–Stokes equations with density-dependent viscosity and cylindrical symmetry
Reaction–diffusion front speed enhancement by flows
Existence of weak solutions for the incompressible Euler equations
The strong minimum principle for quasisuperminimizers of non-standard growth
Selfsimilar expanders of the harmonic map flow

Issue no. 6 Table of Contents

Superharmonic functions are locally renormalized solutions
On a model in radiation hydrodynamics
Ricci flow of conformally compact metrics
Existence of self-dual non-topological solutions in the Chern–Simons Higgs model
Local well-posedness and blow-up in the energy space for a class of L 2 critical dispersion generalized Benjamin–Ono equations
Expanding measures
Commutability of homogenization and linearization at identity in finite elasticity and applications
Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
Erratum