Annals of PDE

Title Publication Date Language Citations
Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum2019/03/15English59
On Global Dynamics of Three Dimensional Magnetohydrodynamics: Nonlinear Stability of Alfvén Waves2017/12/18English56
The Global Nonlinear Stability of Minkowski Space for the Massless Einstein–Vlasov System2017/03/28English53
Landau Damping: Paraproducts and Gevrey Regularity2016/04/21English53
Stationary Solutions to the Boltzmann Equation in the Hydrodynamic Limit2017/11/10English49
Non-uniqueness for the Transport Equation with Sobolev Vector Fields2018/12/01English45
Uniformly Rotating Analytic Global Patch Solutions for Active Scalars2016/01/30English44
Prandtl Boundary Layer Expansions of Steady Navier–Stokes Flows Over a Moving Plate2017/04/11English41
Well-Posedness of the Prandtl Equations Without Any Structural Assumption2019/03/19English40
Edge States in Honeycomb Structures2016/12/01English40
Finite-Time Singularity Formation for Strong Solutions to the Axi-symmetric 3D Euler Equations2019/10/29English37
Hölder Continuous Solutions of Active Scalar Equations2015/11/14English37
On the Global Uniqueness for the Einstein–Maxwell-Scalar Field System with a Cosmological Constant: Part 3. Mass Inflation and Extendibility of the Solutions2017/03/28English34
Small Data Solutions of the Vlasov-Poisson System and the Vector Field Method2016/12/01English34
Non-linear Stability of the Kerr–Newman–de Sitter Family of Charged Black Holes2018/04/11English32
Linear Inviscid Damping and Vorticity Depletion for Shear Flows2019/01/25English31
Critical SQG in Bounded Domains2016/11/30English30
Landau Equation for Very Soft and Coulomb Potentials Near Maxwellians2017/01/31English30
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $$|a|\ll M$$2019/01/08English29
Non-local Functionals Related to the Total Variation and Connections with Image Processing2018/01/24English29
Vortex Axisymmetrization, Inviscid Damping, and Vorticity Depletion in the Linearized 2D Euler Equations2019/02/12English28
$$L^\infty $$ Instability of Prandtl Layers2019/11/21English26
On the Dynamics of Floating Structures2017/05/02English25
The $$r^{p}$$ r p -Weighted Energy Method of Dafermos and Rodnianski in General Asymptotically Flat Spacetimes and Applications2016/05/02English25
Weak Solutions of Ideal MHD Which Do Not Conserve Magnetic Helicity2020/01/31English24
Shock Development in Spherical Symmetry2016/04/20English23
A Vector Field Approach to Almost-Sharp Decay for the Wave Equation on Spherically Symmetric, Stationary Spacetimes2018/09/28English23
On Pseudospectral Bound for Non-selfadjoint Operators and Its Application to Stability of Kolmogorov Flows2019/09/09English23
The Linear Stability of the Schwarzschild Solution to Gravitational Perturbations in the Generalised Wave Gauge2019/09/07English21
From Hard Sphere Dynamics to the Stokes–Fourier Equations: An Analysis of the Boltzmann–Grad Limit2017/02/03English21