Global relaxation and nonrelativistic limit of nonisentropic Euler‐Maxwell systems
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DOI: 10.1002/mma.6305
Abstract: The aim of this paper is to investigate smooth solutions to Cauchy (or periodic) problem for a nonisentropic Euler‐Maxwell system with small parameters. For initial data close to constant equilibrium states, we prove the global‐in‐time… read more here.
Keywords: system; euler maxwell; euler; nonisentropic euler ... See more keywords
Comparison of Euler‐Euler Approach and Euler–Lagrange Approach to Model Gas Injection in a Ladle
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DOI: 10.1002/srin.201800494
Abstract: The gas injection in a ladle using a porous plug is simulated using both the Euler-Euler and Euler-Lagrange approaches. The effects of various forces, bubble sizes, and bubble injection frequencies ... read more here.
Keywords: injection ladle; euler; gas injection; euler euler ... See more keywords
Gluing Methods for Vortex Dynamics in Euler Flows
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DOI: 10.1007/s00205-019-01448-8
Abstract: A classical problem for the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain is that of finding regular solutions with highly concentrated vorticities around N moving vortices . The formal dynamic… read more here.
Keywords: euler; vortex dynamics; dynamics euler; euler flows ... See more keywords
Geometry and analysis in Euler’s integral calculus
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DOI: 10.1007/s00407-016-0179-y
Abstract: Euler developed a program which aimed to transform analysis into an autonomous discipline and reorganize the whole of mathematics around it. The implementation of this program presented many difficulties, and the result was not entirely… read more here.
Keywords: euler; mathematics; analysis; program ... See more keywords
Comment on “New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point”
Sign Up to like & getrecommendations! Published in 2017 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-016-1173-1
Abstract: The analysis of the paper “New exact solution of Euler’s equations (rigid body dynamics) in the case of rotation over the fixed point” is made. It is shown that the solution is reduced to a… read more here.
Keywords: euler; case; exact solution; rotation ... See more keywords
$$\rho $$ρ-White noise solution to 2D stochastic Euler equations
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DOI: 10.1007/s00440-019-00902-8
Abstract: A stochastic version of 2D Euler equations with transport type noise in the vorticity is considered, in the framework of Albeverio–Cruzeiro theory (Commun Math Phys 129:431–444, 1990) where the equation is considered with random initial… read more here.
Keywords: euler; euler equations; rho white; equation ... See more keywords
Higher-Order Bessel Equations Integrable in Elementary Functions
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DOI: 10.1007/s10958-019-04431-6
Abstract: The eigenfunction problem for a scalar Euler operator leads to an ordinary differential equation, which is an analog of higher-order Bessel equations. Its solutions are expressed through elementary functions in the case where the corresponding… read more here.
Keywords: bessel equations; higher order; order bessel; euler ... See more keywords
Bubbly flow in stirred tanks: Euler-Euler/RANS modeling
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DOI: 10.1016/j.ces.2018.06.001
Abstract: Abstract Aerated stirred tanks are frequently used equipment in industries ranging from chemical engineering and biotechnology to minerals processing. In principle, CFD simulation of such equipment on industrial scales is feasible within the Euler-Euler framework… read more here.
Keywords: euler; flow stirred; stirred tanks; bubbly flow ... See more keywords
Solid-liquid flow in stirred tanks: Euler-Euler/RANS modeling
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DOI: 10.1016/j.ces.2020.115875
Abstract: Abstract Stirred tanks are widely used equipment in process engineering. CFD simulations of such equipment on industrial scales are feasible within the Euler-Euler/RANS approach. In this approach, phenomena on particle scale are not resolved and,… read more here.
Keywords: euler rans; euler; liquid flow; stirred tanks ... See more keywords
Dynamic instability of Euler–Bernoulli nanobeams subject to parametric excitation
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DOI: 10.1016/j.compositesb.2018.11.088
Abstract: Abstract Little research on the dynamic instability of nanobeams caused by parametric resonance has been reported in the literature. This paper presents an accurate and analytical method for investigating the dynamic instability of nanobeams based… read more here.
Keywords: instability; excitation; nanobeams subject; dynamic instability ... See more keywords
Absolute zeta functions and absolute automorphic forms
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DOI: 10.1016/j.geomphys.2018.01.014
Abstract: Abstract We construct absolute zeta functions from absolute automorphic forms via the zeta regularization. We study analytic properties of absolute zeta functions. Especially we look at regularized Euler constants. We show a generalization of Euler’s… read more here.
Keywords: zeta functions; functions absolute; euler; absolute automorphic ... See more keywords