Megan Griffin-Pickering,Mikaela Iacobelli
Megan Griffin-Pickering
We study the quasineutral limit for the ionic Vlasov-Poisson system with thermalized electrons (VPME) on the torus in dimensions one to three, for rough solutions with bounded spatial density. Our main result is a quantitative stability the...
Federico Buseghin,Juan Dávila,Manuel Del Pino et al.
Federico Buseghin et al.
Perhaps the most classical diffusion model for chemotaxis is the Keller-Segel system u t = Δ u - ∇ · ( u ∇ v ) in R 2 × ( 0 , T ) , v = ( - Δ R 2 ) - 1 u : = 1 2 π ∫ R 2 lo...
Allen Juntao Fang
Allen Juntao Fang
In this paper, we prove that the slowly-rotating Kerr-de Sitter family of black holes is linearly stable as a family of solutions to the Einstein vacuum equations with Λ > 0 in harmonic (wave) gauge. This article is part of a series t...
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 . ...