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Non-uniqueness and h-Principle for Hölder-Continuous Weak Solutions of the Euler Equations

, 2016
In this paper we address the Cauchy problem for the incompressible Euler equations in the periodic setting. We prove that the set of Hölder $${1/5 - \varepsilon}$$1/5-ε wild initial data is dense in $${L^{2}}$$L2, where we call an initial datum wild if ...
S. Daneri, L. Székelyhidi
semanticscholar   +1 more source

Development of a Combined Euler-Euler Euler-Lagrange Slurry Model

2019
There has been a significant amount of work on modelling erosion caused by slurries, however, these studies are normally focused on low concentrations. The reason for this is usually that dense slurries are too computationally expensive to model in the Euler-Lagrange frame.
MacKenzie, Alasdair   +2 more
openaire   +2 more sources

Regularity and Energy Conservation for the Compressible Euler Equations

, 2016
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved.
E. Feireisl   +3 more
semanticscholar   +1 more source

Untangling Euler Diagrams

IEEE Transactions on Visualization and Computer Graphics, 2010
In many common data analysis scenarios the data elements are logically grouped into sets. Venn and Euler style diagrams are a common visual representation of such set membership where the data elements are represented by labels or glyphs and sets are indicated by boundaries surrounding their members. Generating such diagrams automatically such that set
Nathalie Henry, Riche, Tim, Dwyer
openaire   +2 more sources

Euler Angles, Bryant Angles and Euler Parameters

2015
This chapter deals with the different approaches for describing the rotational coordinates in spatial multibody systems. In this process, Euler angles and Bryant angles are briefly characterized. Particular emphasis is given to Euler parameters, which are utilized to describe the rotational coordinates in the present work.
openaire   +2 more sources

A 2.|E|-Bit Distributed Algorithm for the Directed Euler Trail Problem

Information Processing Letters, 1993
Wen-Huei Chen, C. Tang
semanticscholar   +1 more source

On Euler’s Transformation

The Mathematical Gazette, 1971
As A. M. Cohen’s paper has reminded me, Euler’s transformation for summation of the slowly convergent alternating series u 0 − u 1 + u
openaire   +2 more sources

Leonhard Euler

JAMA: The Journal of the American Medical Association, 1982
M A, Shampo, R A, Kyle
openaire   +2 more sources

A Remarkable Euler Square before Euler

Mathematics Magazine, 2010
Orthogonal Latin squares have been known to predate Euler in Europe. However, it is surprising that an Euler square of order nine was already in existence prior to Euler in the Orient.
openaire   +1 more source

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