Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence [0.03%]
Obukhov-Corrsin标量湍流理论中的非常耗散和缺乏选择性
Maria Colombo,Gianluca Crippa,Massimo Sorella
Maria Colombo
The Obukhov-Corrsin theory of scalar turbulence [21, 54] advances quantitative predictions on passive-scalar advection in a turbulent regime and can be regarded as the analogue for passive scalars of Kolmogorov's K41 theory of fully develop...
Yan Guo,Mahir Hadzic,Juhi Jang
Yan Guo
In 1990, based on numerical and formal asymptotic analysis, Ori and Piran predicted the existence of selfsimilar spacetimes, called relativistic Larson-Penston solutions, that can be suitably flattened to obtain examples of spacetimes that ...
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros [0.03%]
非线性薛定谔方程解的唯一性与其零点的关系
Christoph Kehle,João P G Ramos
Christoph Kehle
We show novel types of uniqueness and rigidity results for Schrödinger equations in either the nonlinear case or in the presence of a complex-valued potential. As our main result we obtain that the trivial solution u = 0 is the only solut...
Volker Schlue
Volker Schlue
This paper is motivated by the non-linear stability problem for the expanding region of Kerr de Sitter cosmologies in the context of Einstein's equations with positive cosmological constant. We show that under dynamically realistic assumpti...
Filippo Cagnetti,Gianni Dal Maso,Lucia Scardia et al.
Filippo Cagnetti et al.
In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under linear growth and coercivity conditions. The main novelty of our deterministic result is that we work under very general assumpti...
Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation [0.03%]
关于超临界表面准地转方程的奇异集的维数估计
Maria Colombo,Silja Haffter
Maria Colombo
We consider the SQG equation with dissipation given by a fractional Laplacian of order α
Stefano Modena,László Székelyhidi Jr
Stefano Modena
We construct a large class of examples of non-uniqueness for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev spaces W 1 , p . ...
The Global Nonlinear Stability of Minkowski Space for the Massless Einstein-Vlasov System [0.03%]
massless埃森斯坦-瓦拉斯系统中的米克沃伊空间的全局非线性稳定性
Martin Taylor
Martin Taylor
Minkowski space is shown to be globally stable as a solution to the Einstein-Vlasov system in the case when all particles have zero mass. The proof proceeds by showing that the matter must be supported in the "wave zone", and then proving a...
Sharp Decay Estimates for the Logarithmic Fast Diffusion Equation and the Ricci Flow on Surfaces [0.03%]
二维空间中对数型快速扩散方程和里奇流的尖锐衰减估计式
Peter M Topping,Hao Yin
Peter M Topping
We prove the sharp local L 1 - L ∞ smoothing estimate for the logarithmic fast diffusion equation, or equivalently, for the Ricci flow on surfaces. Our estimate almost instantly implies an improvement of the known L p - L ∞ ...
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case [Formula: see text] [0.03%]
带电离宇方程在Kerr时空中的情形I：[公式]的情况下的有界性和衰减性问题
Mihalis Dafermos,Gustav Holzegel,Igor Rodnianski
Mihalis Dafermos
We prove boundedness and polynomial decay statements for solutions of the spin ± 2 Teukolsky equation on a Kerr exterior background with parameters satisfying | a | ≪ M . The bounds are obtained by introducing generalisations ...