Results 31 to 40 of about 33,255 (224)

On Unique Continuation for Navier-Stokes Equations

Abstract and Applied Analysis, 2015
We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
doaj   +1 more source

The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations [PDF]

Bulletin de la Société mathématique de France, 1999
In the periodic three-dimensional Navier-Stokes equations \(\partial _tu+u\cdot \nabla u-\nu \Delta u=-\nabla p, div u=0, u_{t=0}=u_0\) the initial data \(u_0\) is decomposed as \(u_0=v_0+w_0\), where \(w_0\) does not depend on the variable \(x_3 (u=u(x_1,x_2,x_3,t))\).
openaire   +2 more sources

About the Regularized Navier?Stokes Equations [PDF]

Journal of Mathematical Fluid Mechanics, 2005
The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz space $L^{3,\infty}$ is used to prove some asymptotic stability results for solutions with infinite energy.
Cannone, Marco, Karch, Grzegorz
openaire   +3 more sources

Existence and uniqueness of solutions for the two-dimensional Euler and Navier-Stokes equations with initial data in $ H^1 $

AIMS Mathematics
In this paper, we consider the incompressible Euler and Navier-Stokes equations in $ \mathbb{R}^2 $. It is well known that the Euler and Navier-Stokes equations are globally well-posed for initial data in $ H^s(s > 2) $.
Shaoliang Yuan, Lin Cheng, Liangyong Lin
doaj   +1 more source

Equations of Motion and Navier–Stokes Equations

Computation
In this research, we present the analogies between variational calculations in cosmology and in classical mechanics. Our approach is based on the invariants for transformations of affine connections defined on N-dimensional manifolds (special cases are ...
Dušan J. Simjanović, Ivana Djurišić, Aleksandra Penjišević, Marko Stefanović, Branislav M. Randjelović   +4 more
doaj   +1 more source

Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations

Results in Engineering, 2023
Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi, Seyed Esmail Razavi, Shams Forruque Ahmed, Hussein Hassanpour, Suvash C. Saha, S.M. Muyeen   +5 more
doaj   +1 more source

Twisted Tin‐Chloride Perovskite Single‐Crystal Heterostructures

Angewandte Chemie, EarlyView.
Replacing lead with tin in a single‐crystal halide perovskite heterostructure drives a twist between the perovskite (gray) and intergrowth (blue) layers. The accompanying structural distortions and interfacial strain change the calculated orbital composition of the band edges and enable high in‐plane optical anisotropy in the Sn analog.
Jamie L. Cleron, Chih‐Yi Chen, Feng Pan, Santanu Saha, Frederick P. Marlton, Robert M. Stolz, Jiayi Li, Jennifer A. Dionne, Fang Liu, Marina R. Filip, Hemamala I. Karunadasa   +10 more
wiley   +2 more sources

Results on existence for generalized nD Navier-Stokes equations

Open Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj   +1 more source

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

Advanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul, Archith Rayabharam, Lisa Almonte, Eveline Rigo, Joshy Joseph, Ashutosh Kumar, Zhuxin Dong, Narayana Aluru, Gregory Timp   +8 more
wiley   +1 more source

Global regularity to the Navier-Stokes equations for a class of large initial data

Mathematical Modelling and Analysis, 2018
In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navier-Stokes equations with a class of large initial data on T2 × R.
Bin Han, Yukang Chen
doaj   +1 more source