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
Congruence properties of Lehmer-Euler numbers
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DOI: 10.1007/s00010-024-01150-5
Abstract: Certain generalization of Euler numbers was defined in 1935 by Lehmer using cubic roots of unity, as a natural generalization of Bernoulli and Euler numbers. In this paper, Lehmer’s generalized Euler numbers are studied to… read more here.
Keywords: euler numbers; euler; congruence properties; properties lehmer ... 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
Ill-Posedness of the Hydrostatic Euler–Boussinesq Equations and Failure of Hydrostatic Limit
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DOI: 10.1007/s00220-025-05423-1
Abstract: We investigate the hydrostatic approximation for inviscid stratified fluids, described by the two-dimensional Euler–Boussinesq equations in a periodic channel. Through a perturbative analysis of the hydrostatic homogeneous setting, we exhibit a stratified steady state violating… read more here.
Keywords: euler; euler boussinesq; hydrostatic limit; ill posedness ... 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