### Issue no. 1 Table of Contents

Partial differential equations/Mathematical physics

Wave fluctuations near a de Sitter brane in an anti-de Sitter universe
Partial differential equations

A Rellich type theorem for the Helmholtz equation in a conical domain
Partial differential equations/Probability theory

On time regularity of stochastic evolution equations with monotone coefficients
Partial differential equations

A generalization of the quantum Bohm identity: Hyperbolic CFL condition for Euler–Korteweg equations
Partial differential equations

Relative entropy for compressible Navier–Stokes equations with density-dependent viscosities and applications
Partial differential equations

Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism
Partial differential equations/Numerical analysis

Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem
Partial differential equations/Mathematical physics

Trapped modes supported by localized potentials in the zigzag graphene ribbon
Partial differential equations

Invariance of the support of solutions for a sixth-order thin film equation
Partial differential equations

Multiplicity for a 4-sublinear Schrödinger–Poisson system with sign-changing potential via Morse theory
Géométrie différentielle

Sur les déformations des feuilletages de Lie nilpotents
[On the deformations of nilpotent Lie foliations]

### Issue no. 2 Table of Contents

Combinatorics/Probability theory

Anti-concentration property for random digraphs and invertibility of their adjacency matrices
Number theory/Computer science

Effective arithmetic in finite fields based on Chudnovsky's multiplication algorithm
Potential theory/Calculus of variations

Optimal geometric estimates for fractional Sobolev capacities
Partial differential equations/Numerical analysis

Uniform temporal convergence of numerical schemes for miscible flow through porous media
Partial differential equations

A local regularity condition involving two velocity components of Serrin-type for the Navier–Stokes equations
Partial differential equations

A simple criterion for transverse linear instability of nonlinear waves
Harmonic analysis/Functional analysis

Strong convergence in the weighted setting of operator-valued Fourier series defined by the Marcinkiewicz multipliers
Probability theory/Statistics

On the distribution of the product of correlated normal random variables
### Issue no. 3 Table of Contents

Logique

Ensembles reconnaissables de séries formelles sur un corps fini
[Recognizable sets of power series over finite fields]

Mathematical analysis/Partial differential equations

Boutet de Monvel operators on singular manifolds
Mathematical analysis/Complex analysis

Koebe sets for certain classes of circularly symmetric functions
Ordinary differential equations/Partial differential equations

On an elliptic equation of p-Kirchhoff type with convection term
Partial differential equations

Global bifurcation of vortex and dipole solutions in Bose–Einstein condensates
Partial differential equations/Numerical analysis

Asymptotic Preserving numerical schemes for multiscale parabolic problems
Partial differential equations

Symmetry results for solutions of equations involving zero-order operators
Partial differential equations/Numerical analysis

A slack approach to reduced-basis approximation and error estimation for variational inequalities
Numerical analysis/Mathematical problems in mechanics

An interface condition to compute compressible flows in variable cross section ducts
### Issue no. 4 Table of Contents

Mathematical analysis/Potential theory

Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure
Partial differential equations

A note on Sylvester's proof of discreteness of interior transmission eigenvalues
Partial differential equations/Numerical analysis

Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides
Partial differential equations/Optimal control

Unique continuation estimates for the Kolmogorov equation in the whole space
Analytic geometry/Differential geometry

A Riemann–Roch–Grothendieck theorem for flat fibrations with complex fibers
Problèmes mathématiques de la mécanique

Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée
[Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation]

### Issue no. 5 Table of Contents

Homological algebra/Algebraic geometry

Algebraic K-theory with coefficients of cyclic quotient singularities
Homological algebra/Algebraic geometry

On ${\mathbb{A}}^{1}$-fundamental groups of isotropic reductive groups
Mathematical analysis/Functional analysis

Splittings of extensions and homological bidimension of the algebra of bounded operators on a Banach space
Ordinary differential equations/Analytic geometry

On the number of fibrations transverse to a rational curve in complex surfaces
Ordinary differential equations/Dynamical systems

A higher-dimensional Poincaré–Birkhoff theorem without monotone twist
Partial differential equations

Solenoidal extensions of vector fields in two-dimensional unbounded domains
Partial differential equations/Dynamical systems

Periodic solitons for the elliptic–elliptic focussing Davey–Stewartson equations
Partial differential equations

When “blow-up” does not imply “concentration”: A detour from Brézis–Merle's result
Partial differential equations/Numerical analysis

On non-linear Stokes problems with viscosity depending on the distance to the wall
Statistique

Modèle non paramétrique parcimonieux pour la détection des points d'impact d'une variable fonctionnelle
[Nonparametric selection of impact points in functional regression]

Mathematical problems in mechanics

From the free surface flow of a viscoelastic fluid towards the elastic deformation of a solid
### Issue no. 6 Table of Contents

Théorie des nombres

Sur l'exemple d'Euler d'une fonction complètement multiplicative à somme nulle
[On Euler's example of a completely multiplicative function with sum 0]

Analyse complexe/Géométrie analytique

Extension de courants fermés à l'espace projectif
[Extension of closed currents to the projective space]

Partial differential equations

Small strong solutions for time-dependent mean field games with local coupling
Partial differential equations/Calculus of variations

A maximum principle for the system Δu − ∇W(u)=0
Partial differential equations/Mathematical problems in mechanics

On the existence and qualitative theory of stratified solitary water waves
Partial differential equations/Mathematical physics

Spectral analysis near the low ground energy of magnetic Pauli operators
Statistique

Normalité asymptotique locale de processus autorégressifs hilbertiens
[Local asymptotic normality of Hilbertian autoregressive processes]

Mathematical problems in mechanics/Calculus of variations

Optimization of the branching pattern in coherent phase transitions
### Issue no. 7 Table of Contents

Logique

La logique des parties fractionnaires de nombres réels
[The logic of fractional parts of real numbers]

Combinatoire/Théorie des nombres

Deux analogues au déterminant de Maillet
[Two analogues of Maillet's determinant]

Number theory/Algebraic geometry

About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case
Group theory/Differential geometry

Classification of differential symmetry breaking operators for differential forms
Partial differential equations/Calculus of variations

Minimizing movements along a sequence of functionals and curves of maximal slope
Partial differential equations/Numerical analysis

Constructing exact sequences on non-conforming discrete spaces
Differential geometry

Remarks on shrinking gradient Kähler–Ricci solitons with positive bisectional curvature
### Issue no. 8 Table of Contents

Group theory/Combinatorics

Harmonic functions with finite p-energy on lamplighter graphs are constant
Équations aux dérivées partielles

Le système de Vlasov–Poisson effectif pour les plasmas fortement magnétisés
[The effective Vlasov–Poisson system for strongly magnetized plasmas]

Partial differential equations/Optimal control

Approximate controllability of coupled 1-d wave equations on star-shaped graphs
Partial differential equations

Note to the problem of the asymptotic behavior of a viscous incompressible flow around a rotating body
Équations aux dérivées partielles/Analyse numérique

Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante
[Stabilization of non-coercive problems using the invariant measure]

Partial differential equations

Finite dimensional global attractor for a suspension bridge problem with delay
Partial differential equations/Functional analysis

Bourgain–Brézis–Mironescu formula for magnetic operators
Geometry/Differential topology

Corrigendum to “The Euler class of an umbilic foliation” [C. R. Acad. Sci. Paris, Ser. I 354 (6) (2016) 614–618]
Statistique

Estimation locale linéaire de la fonction de régression pour des variables hilbertiennes
[Local linear estimation of the regression function with Hilbertian variables]

### Issue no. 9 Table of Contents

Number theory/Algebra

On some finiteness properties of algebraic groups over finitely generated fields
Homological algebra/Topology

Homeomorphisms of a solenoid isotopic to the identity and its second cohomology groups
Complex analysis/Functional analysis

Weighted composition operators that are complex symmetric on the Fock space ${\mathcal{F}}^{2}({\mathbb{C}}^{n})$
Équations aux dérivées partielles/Physique mathématique

Dynamique moléculaire de la prédissociation
[Estimates on the molecular dynamics for the predissociation process]

Algebraic geometry/Analytic geometry

Kobayashi measure hyperbolicity for singular directed varieties of general type
### Issue no. 10 Table of Contents

Théorie des nombres/Théorie des groupes

Équidistribution non archimédienne et actions de groupes sur les arbres
[Non-Archimedean equidistribution and group actions on trees]

Analyse mathématique/Géométrie

Une remarque à propos de l'équivalence bilipschitzienne entre des ensembles de Delone
[A remark concerning bi-Lipschitz equivalence of Delone sets]

Partial differential equations

Phase-field model of cell motility: Traveling waves and sharp interface limit
Partial differential equations/Calculus of variations

Higher-order topological sensitivity analysis for the Laplace operator
Analyse fonctionnelle

Convexité uniforme faible dans les espaces d'interpolation
[Weak uniform convexity in interpolation spaces]

Contrôle optimal

Une nouvelle approche pour la synchronisation approchée d'un système couplé d'équations des ondes : contrôles directs et indirects
[A new approach for the approximate synchronization for a coupled system of wave equations: Direct and indirect controls]

Topology/Differential topology

The Morse–Bott inequalities, orientations, and the Thom isomorphism in Morse homology
### Issue no. 11 Table of Contents

Mathematical analysis/Partial differential equations

Existence of minimizers for the 2d stationary Griffith fracture model
Ordinary differential equations/Partial differential equations

Almost automorphic evolution equations with compact almost automorphic solutions
Partial differential equations/Calculus of variations

Variational existence theory for hydroelastic solitary waves
Optimal control/Probability theory

An existence theorem for multidimensional BSDEs with mixed reflections
Algebraic geometry/Differential geometry

Residue formula for Morita–Futaki–Bott invariant on orbifolds
Dynamical systems/Probability theory

Approximations of standard equivalence relations and Bernoulli percolation at p_{u}

Numerical analysis/Mathematical problems in mechanics

A kinematic vector penalty–projection method for incompressible flow with variable density
Mathematical problems in mechanics

Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity
### Issue no. 12 Table of Contents

Ordinary differential equations/Partial differential equations

Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation
Partial differential equations

Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems
Partial differential equations/Numerical analysis

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems
Analyse fonctionnelle

Interpolation : B^{θ}= B

_{θ}pour un θ entraîne B

^{θ}= B

_{θ}pour tout θ

[Interpolation: B

^{θ}= B

_{θ}for some beta implies B

^{θ}= B

_{θ}for all θ]

Analyse fonctionnelle

Plongements de Carleson absolument sommants
[Absolutely summing Carleson embedding]

Géométrie algébrique

Revêtements tangentiels et tours infinies d'Artin–Schreier
[Tangential covers and infinite Artin–Schreier towers]

Mathematical problems in mechanics

A mathematical model of Koiter's type for a nonlinearly elastic “almost spherical” shell