A Wavelet-Inspired $$L^3$$-Based Convex Integration Framework for the Euler Equations

2024-9-13

Stability of the Generalized Lagrangian Mean Curvature Flow in Cotangent Bundle

2024-9-9

Desingularization of Small Moving Corners for the Muskat Equation

2024-8-26

Nonlinear Stability of Self-Gravitating Massive Fields

2024-8-7

Dynamics of Apparent Horizon and a Null Comparison Principle

2024-8-3

Well/Ill-Posedness Bifurcation for the Boltzmann Equation with Constant Collision Kernel

2024-7-24

Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension

2024-7-5

Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane

2024-6-18

Physical Space Approach to Wave Equation Bilinear Estimates Revisit

2024-6-18

Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane

2024-5-28

Kerr Stability in External Regions

2024-5-7

Asymptotics and Convergence for the Complex Monge-Ampère Equation

2024-4-2

Generic Regularity of Level Set Flows with Spherical Singularity

2024-3-29

Static Vacuum Extensions With Prescribed Bartnik Boundary Data Near a General Static Vacuum Metric

2024-3-5

A Fully Nonlinear Degenerate Free Transmission Problem

2024-2-20

Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model

2024-1-29

Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise

2023-12-27

Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium

2023-12-13

Time Periodic Solutions Close to Localized Radial Monotone Profiles for the 2D Euler Equations

2023-12-12

On the local well-posedness for the relativistic Euler equations for a liquid body

2023-12-1

Instability of Gravitational and Electromagnetic Perturbations of Extremal Reissner–Nordström Spacetime

2023-11-17

Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence

2023-11-2

Orientation Mixing in Active Suspensions

2023-10-20

On the Transition of the Rayleigh-Taylor Instability in 2d Water Waves with Point Vortices

2023-10-17

Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case

2023-10-6

Gluing Non-unique Navier–Stokes Solutions

2023-10-4

Dynamic Stability for Steady Prandtl Solutions

2023-9-27

Quantitative Control of Solutions to the Axisymmetric Navier-Stokes Equations in Terms of the Weak $$L^3$$ Norm

2023-8-10

Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case

2023-7-12

$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations

2023-6-27

An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds

2023-6-27

Construction of GCM Hypersurfaces in Perturbations of Kerr

2023-5-30

Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates

2023-4-19

Incompressible limit for the free surface Navier-Stokes system

2023-4-1

Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains

2023-4-1

Instability of the Kerr Cauchy Horizon Under Linearised Gravitational Perturbations

2023-3-24

Construction of Blow-Up Manifolds to the Equivariant Self-dual Chern–Simons–Schrödinger Equation

2023-3-21

Global stability for a nonlinear system of anisotropic wave equations

2023-3-15

Naked Singularities in the Einstein-Euler System

2023-2-7

A Determination of the Blowup Solutions to the Focusing NLS with Mass Equal to the Mass of the Soliton

2022-12-17

The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation

2022-12-12

Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations

2022-12-12

Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data

2022-11-19

Price’s Law for Spin Fields on a Schwarzschild Background

2022-11-15

Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations

2022-11-13

The Spacelike-Characteristic Cauchy Problem of General Relativity in Low Regularity

2022-10-20

The Canonical Foliation On Null Hypersurfaces in Low Regularity

2022-10-20

Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros

2022-9-14

Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off

2022-8-17

Global Stability for Nonlinear Wave Equations with Multi-Localized Initial Data

2022-8-8