Geodesic

Sommaire du Fascicule no. 1

Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations
p. 1-25
Physical measures for the geodesic flow tangent to a transversally conformal foliation
p. 27-51
Regularity theory for the Isaacs equation through approximation methods
p. 53-74
On bifurcation of eigenvalues along convex symplectic paths
p. 75-102
Energy identity and necklessness for a sequence of Sacks–Uhlenbeck maps to a sphere
p. 103-118
Local well-posedness for quasi-linear NLS with large Cauchy data on the circle
p. 119-164
Interior regularity for fractional systems
p. 165-180
Hyperbolic ends with particles and grafting on singular surfaces
p. 181-216
Stable ground states for the HMF Poisson model
p. 217-255
Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity
p. 257-294

Sommaire du Fascicule no. 2

Downscaling data assimilation algorithm with applications to statistical solutions of the Navier–Stokes equations
p. 295-326
Time-optimal trajectories of generic control-affine systems have at worst iterated Fuller singularities
p. 327-346
Nonlinear responses from the interaction of two progressing waves at an interface
p. 347-363
Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
p. 365-387
Extremizers for Fourier restriction on hyperboloids
p. 389-415
Uniform boundedness principles for Sobolev maps into manifolds
p. 417-449
Hessian estimates for convex solutions to quadratic Hessian equation
p. 451-454
Existence of strong minimizers for the Griffith static fracture model in dimension two
p. 455-474
On the splash singularity for the free-surface of a Navier–Stokes fluid
p. 475-503
Regularity of solutions to scalar conservation laws with a force
p. 505-521
Symmetry properties for solutions of nonlocal equations involving nonlinear operators
p. 523-543
Bifurcation to locked fronts in two component reaction–diffusion systems
p. 545-584

Sommaire du Fascicule no. 3

Asymptotic behavior of spreading fronts in the anisotropic Allen–Cahn equation on Rn
p. 585-626
On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems
p. 627-653
Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter
p. 655-703
Self-similar gelling solutions for the coagulation equation with diagonal kernel
p. 705-744
Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain
p. 745-782
Description of limiting vorticities for the magnetic 2D Ginzburg–Landau equations
p. 783-809
The quantum drift-diffusion model: Existence and exponential convergence to the equilibrium
p. 811-836
Mass transportation on sub-Riemannian structures of rank two in dimension four
p. 837-860
Sharp trace Gagliardo–Nirenberg–Sobolev inequalities for convex cones, and convex domains
p. 861-885

Sommaire du Fascicule no. 4

Discrete stochastic approximations of the Mumford–Shah functional
p. 887-937
Regularity of interfaces for a Pucci type segregation problem
p. 939-975
Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space
p. 977-1034
Γ -convergence of free-discontinuity problems
p. 1035-1079
On the global Cauchy problem for the Hartree equation with rapidly decaying initial data
p. 1081-1104
Existence of local strong solutions to fluid–beam and fluid–rod interaction systems
p. 1105-1149
Geometric aspects of p -capacitary potentials
p. 1151-1179

Sommaire du Fascicule no. 5

Estimates of Green and Martin kernels for Schrödinger operators with singular potential in Lipschitz domains
p. 1183-1200
Fluctuations of N -particle quantum dynamics around the nonlinear Schrödinger equation
p. 1201-1235
The vanishing viscosity limit for some symmetric flows
p. 1237-1280
Existence of weak solutions for a Bingham fluid-rigid body system
p. 1281-1309
On the radius of spatial analyticity for solutions of the Dirac–Klein–Gordon equations in two space dimensions
p. 1311-1330
Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
p. 1331-1360
Taylor expansions of the value function associated with a bilinear optimal control problem
p. 1361-1399
Multiple solutions for the non-Abelian Chern–Simons–Higgs vortex equations
p. 1401-1430
Parabolic equation in time and space dependent anisotropic Musielak–Orlicz spaces in absence of Lavrentiev's phenomenon
p. 1431-1465
Well posedness of nonlinear parabolic systems beyond duality
p. 1467-1500

Sommaire du Fascicule no. 6

A new path to the non blow-up of incompressible flows
p. 1503-1537
Spreading in space–time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speed
p. 1539-1573
Qualitative properties of positive singular solutions to nonlinear elliptic systems with critical exponent
p. 1575-1601
On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
p. 1603-1637
Boltzmann collision operator for the infinite range potential: A limit problem
p. 1639-1677
Blowup criterion for Navier–Stokes equation in critical Besov space with spatial dimensions d ≥ 4
p. 1679-1707
Harnack's inequality for parabolic nonlocal equations
p. 1709-1745
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation
p. 1747-1790

Sommaire du Fascicule no. 7

Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
p. 1791-1816
Spectral structure of the Neumann–Poincaré operator on tori
p. 1817-1828
Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes
p. 1829-1868
Regularity theory for L n -viscosity solutions to fully nonlinear elliptic equations with asymptotical approximate convexity
p. 1869-1902
Stationary solutions to coagulation-fragmentation equations
p. 1903-1939
Infinite orbit depth and length of Melnikov functions
p. 1941-1957
Best constant in Poincaré inequalities with traces: A free discontinuity approach
p. 1959-1986
On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations
p. 1987-2025
Non-uniqueness for a critical heat equation in two dimensions with singular data
p. 2027-2051
Continuity of composition operators in Sobolev spaces
p. 2053-2063
Wright–Fisher–type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities
p. 2065-2082