Turnitin
降AI改写
早检测系统
早降重系统
Turnitin-UK版
万方检测-期刊版
维普编辑部版
Grammarly检测
Paperpass检测
checkpass检测
PaperYY检测
Critical phenomena in gravitational collapse
As first discovered by Choptuik, the black hole threshold in the space of initial data for
general relativity shows both surprising structure and surprising simplicity. Universality …
general relativity shows both surprising structure and surprising simplicity. Universality …
The influence of boundaries on gravity currents and thin films: drainage, confinement, convergence, and deformation effects
Z Zheng, HA Stone - Annual Review of Fluid Mechanics, 2022 - annualreviews.org
Thin film flows, whether driven by gravity, surface tension, or the relaxation of elastic
boundaries, occur in many natural and industrial processes. Applications span problems of …
boundaries, occur in many natural and industrial processes. Applications span problems of …
Beyond kolmogorov cascades
The large-scale structure of many turbulent flows encountered in practical situations such as
aeronautics, industry, meteorology is nowadays successfully computed using the …
aeronautics, industry, meteorology is nowadays successfully computed using the …
[کتاب][B] Random Perturbation of PDEs and Fluid Dynamic Models: École d'été de Probabilités de Saint-Flour XL–2010
F Flandoli - 2011 - books.google.com
This volume deals with the random perturbation of PDEs which lack well-posedness, mainly
because of their non-uniqueness, in some cases because of blow-up. The aim is to show …
because of their non-uniqueness, in some cases because of blow-up. The aim is to show …
[کتاب][B] Nonlinear partial differential equations: Asymptotic behavior of solutions and self-similar solutions
MH Giga, Y Giga, J Saal - 2010 - books.google.com
The purpose of this book is to present typical methods (including rescaling methods) for the
examination of the behavior of solutions of nonlinear partial di? erential equations of di …
examination of the behavior of solutions of nonlinear partial di? erential equations of di …
Formation of shocks for 2D isentropic compressible Euler
We consider the 2D isentropic compressible Euler equations, with pressure law p (ρ)=(1 γ) ρ
γ, with γ> 1. We provide an elementary constructive proof of shock formation from smooth …
γ, with γ> 1. We provide an elementary constructive proof of shock formation from smooth …
Formation of point shocks for 3D compressible Euler
We consider the 3D isentropic compressible Euler equations with the ideal gas law. We
provide a constructive proof of the formation of the first point shock from smooth initial datum …
provide a constructive proof of the formation of the first point shock from smooth initial datum …
Pointy ice-drops: How water freezes into a singular shape
A water drop that is gently deposited on a very cold surface freezes into a pointy ice-drop
with a very sharp tip. The formation of this singular shape originates from the reduction of …
with a very sharp tip. The formation of this singular shape originates from the reduction of …
Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks
Whether there exist finite-time blow-up solutions for the 2D Boussinesq and the 3D Euler
equations are of fundamental importance to the field of fluid mechanics. We develop a new …
equations are of fundamental importance to the field of fluid mechanics. We develop a new …
Swelling instability of surface-attached gels as a model of soft tissue growth under geometric constraints
The purpose of this work is to provide a theoretical analysis of the mechanical behavior of
the growth of soft materials under geometrical constraints. In particular, we focus on the …
the growth of soft materials under geometrical constraints. In particular, we focus on the …