Sommaire du Fascicule no. 1

Recurrence for the wind-tree model
A conservation law with spatially localized sublinear damping
The Bramson delay in the non-local Fisher-KPP equation
Ginzburg–Landau equations on Riemann surfaces of higher genus
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
Compressible fluids and active potentials
The closure of planar diffeomorphisms in Sobolev spaces
Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium

Sommaire du Fascicule no. 2

Aggregation-diffusion to constrained interaction: Minimizers & gradient flows in the slow diffusion limit
Global classical solutions to quadratic systems with mass control in arbitrary dimensions
A higher speed type II blowup for the five dimensional energy critical heat equation
On the existence of dual solutions for Lorentzian cost functions
Well-posedness issues on the periodic modified Kawahara equation
The energy-critical nonlinear wave equation with an inverse-square potential
Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations

Sommaire du Fascicule no. 3

Nonlinear instability in Vlasov type equations around rough velocity profiles
A counterexample to the Liouville property of some nonlocal problems
Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface
On the bilinear control of the Gross-Pitaevskii equation
Degenerate nonlocal Cahn-Hilliard equations: Well-posedness, regularity and local asymptotics
Atomic decompositions, two stars theorems, and distances for the Bourgain–Brezis–Mironescu space and other big spaces
Nondivergence form quasilinear heat equations driven by space-time white noise
Dissipative measure-valued solutions for general conservation laws
Well-posedness of semilinear heat equations in L 1
Symbolic dynamics for one dimensional maps with nonuniform expansion

Sommaire du Fascicule no. 4

Lipschitz regularity for viscous Hamilton-Jacobi equations with L p terms
Unique continuation principles in cones under nonzero Neumann boundary conditions
Thin film liquid crystals with oblique anchoring and boojums
Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation
Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators
Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces
Fractional Piola identity and polyconvexity in fractional spaces
Short time existence of the classical solution to the fractional mean curvature flow
How a minimal surface leaves a thin obstacle
Exact controllability of semilinear heat equations in spaces of analytic functions

Sommaire du Fascicule no. 5

Convex integration solutions to the transport equation with full dimensional concentration
New concentration phenomena for a class of radial fully nonlinear equations
The Calderón problem for quasilinear elliptic equations
Anisotropic nonlocal diffusion equations with singular forcing
Existence of solutions for a higher-order semilinear parabolic equation with singular initial data
Fokker-Planck equations of jumping particles and mean field games of impulse control

Sommaire du Fascicule no. 6

Statistical stability of mostly expanding diffeomorphisms
Global existence of weak solutions for the anisotropic compressible Stokes system
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
Local solutions of the Landau equation with rough, slowly decaying initial data
Hypersonic similarity for the two dimensional steady potential flow with large data