Sommaire du Fascicule no. 1

janvier – février 2021

Editorial Board
Nontrivial solutions to Serrin's problem in annular domains
Conserved quantities and Hamiltonization of nonholonomic systems
Relaxed multi-marginal costs and quantization effects
Entropy formula and continuity of entropy for piecewise expanding maps
Asymptotic expansions in time for rotating incompressible viscous fluids
Navier-Stokes equation in super-critical spaces Ep,qs
On the timescale at which statistical stability breaks down

Sommaire du Fascicule no. 2

mars – avril 2021

Editorial Board
The Euler equations in a critical case of the generalized Campanato space
Bifurcation for minimal surface equation in hyperbolic 3-manifolds
Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation
Nonnegative control of finite-dimensional linear systems
Steiner symmetrization for anisotropic quasilinear equations via partial discretization
Relaxed Euler systems and convergence to Navier-Stokes equations
On isolated singularities of fractional semi-linear elliptic equations
A dynamical approach to semilinear elliptic equations
Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D

Sommaire du Fascicule no. 3

mai – juin 2021

Editorial Board
Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition
On the spectral characterization of Besse and Zoll Reeb flows
C 1 , α -estimates for the near field refractor
Solutions with peaks for a coagulation-fragmentation equation. Part II: Aggregation in peaks
On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities
Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces
Almost periodic invariant tori for the NLS on the circle
The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry
The third order Benjamin-Ono equation on the torus: Well-posedness, traveling waves and stability
Existence of multi-solitons for the focusing Logarithmic Non-Linear Schrödinger Equation
Semilinear problems with right-hand sides singular at u = 0  = 0 which change sign

Sommaire du Fascicule no. 4

juillet – août 2021

Editorial Board
Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers
Optimal gradient estimates for the perfect conductivity problem with C 1,α inclusions
Full and partial regularity for a class of nonlinear free boundary problems
Entropy theory for sectional hyperbolic flows
A game of alignment: Collective behavior of multi-species
The vorticity equations in a half plane with measures as initial data
Point interactions for 3D sub-Laplacians
Connecting planar linear chains in the spatial N -body problem
Gevrey regularity for the Vlasov-Poisson system
Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities
Homogenization of a stochastically forced Hamilton-Jacobi equation
Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system

Sommaire du Fascicule no. 5

septembre – octobre 2021

Editorial Board
Edge-localized states on quantum graphs in the limit of large mass
Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form
Critical chirality in elliptic systems
On critical points of the relative fractional perimeter
Phase transitions on the Markov and Lagrange dynamical spectra
Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain
Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity
Non dispersive solutions of the generalized Korteweg-de Vries equations are typically multi-solitons
Multiphase free discontinuity problems: Monotonicity formula and regularity results
The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation
On the controllability and stabilization of the Benjamin equation on a periodic domain
Local limit of nonlocal traffic models: Convergence results and total variation blow-up
On unique continuation principles for some elliptic systems

Sommaire du Fascicule no. 6

novembre – décembre 2021

Editorial Board
A normalized solitary wave solution of the Maxwell-Dirac equations
The Pohozaev-Schoen identity on asymptotically Euclidean manifolds: Conservation laws and their applications
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system
Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data
Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary
Polyhomogénéité des métriques compatibles avec une structure de Lie à l'infini le long du flot de Ricci
Vanishing viscosity limit of the 3D incompressible Oldroyd-B model
Non-existence of patterns and gradient estimates in semilinear elliptic equations with Neumann boundary conditions
The influence of Einstein's effective viscosity on sedimentation at very small particle volume fraction
Collapsing and the convex hull property in a soap film capillarity model
Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model
Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials
Global C ∞ regularity of the steady Prandtl equation with favorable pressure gradient
Soliton resolution for the focusing modified KdV equation