Results 211 to 220 of about 25,672 (245)

Asymmetries in Anticyclone Catalyze Submesoscale Motions

Geophysical Research Letters, Volume 53, Issue 7, 16 April 2026.
Abstract Oceanic mesoscale eddies are often asymmetric, exhibiting horizontal deformation and vertical tilt, yet the implications of these structural asymmetries for finer‐scale dynamics remain poorly understood. Based on a series of high‐resolution numerical experiments, we found that asymmetric anticyclones act as potent catalysts for submesoscale ...
Xianliang Wu, Hong Li, Fanghua Xu
wiley   +1 more source

Touching the classical scaling in penetrative convection. [PDF]

Proc Natl Acad Sci U S A
Ouyang Z, Wang Q, Li K, Wen B, Ding Z.
europepmc   +1 more source

Improved Dust Microphysical Retrieval From LiDAR by Introducing a Priori Constraints From In Situ and Laboratory Measurements

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 7, 16 April 2026.
Abstract The accuracy of height‐resolved dust microphysical retrieval from LiDARs has been greatly improved by the recently developed BOREAL (Basic algOrithm for REtrieval of Aerosol with LiDAR) algorithm which describes non‐spherical dust particles with the Irregular‐Hexahedral (IH) model and inverts 3β (backscattering at 355, 532, and 1,064 nm) + 2α (
Yuyang Chang, Qiaoyun Hu, Philippe Goloub, Thierry Podvin   +3 more
wiley   +1 more source

Nilpotent symmetric Jacobian matrices and the Jacobian conjecture

Journal of Pure and Applied Algebra, 2004
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Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou, Meiting Wang, Kejia Pan, Yin Yang, Xiaofeng Yang   +4 more
wiley   +1 more source

Pedunculopontine-thalamic cholinergic projections in rapid eye movement sleep behaviour disorder. [PDF]

NPJ Parkinsons Dis
Schumacher J, Teipel S, Storch A, Hermann W.   +3 more
europepmc   +1 more source

Two-dimensional Jacobian conjecture

Two-dimensional Jacobian conjecture
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The Jacobian Conjecture

2004
In this chapter, we address the most famous of the problems about polynomial mappings: Problem 5.0.1 (the Jacobian conjecture). If for n polynomials p1, ... , p n ∈ K[x1, ... , x n ], the corresponding Jacobian matrix is invertible, then K[p1, ... , p n ] = K[x1, ... , x n ].
Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu   +2 more
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The Jacobian conjecture

2000
As the reader certainly has noticed by now, the Jacobian Conjecture has been studied extensively and various partial results have been obtained. This chapter will not be a collection of all these results. Instead it will describe several new ways to attack the conjecture.
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A case of the Jacobian Conjecture

Acta Mathematica Sinica, 1988
Let \(F_ 1,...,F_ n\in {\mathbb{C}}[X_ 1,...,X_ n]\) be n polynomials, and let \(F=(F_ 1,...,F_ n):\quad {\mathbb{C}}^ n\to {\mathbb{C}}^ n\) be the corresponding polynomial transformation. If F has a polynomial inverse, then \(\det (\partial F_ i/\partial X_ j)\) is a nonzero constant.
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