Incompressible limit for the full magnetohydrodynamics flows under strong stratification

Lee, Geonho; Kim, Philsu; Kwon, Young−Soo

doi:10.1016/j.jmaa.2011.08.070

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…[7] Mengenai manifulasi aliran fluida pada chip melalu control arus redox magnetohydrodynamics [8], juga mengenai batasan incompressible aliran penuh magnetohydrodynamics dibawah stratifikasi kuat. [9]. Sedangakn penelitian yang berkaitan dengan arus laut dengan berbagai pendekatan sudah juga dilakukan oleh [10], [11], [12], sedangkan yang khsusus meneliti mengenai magnetohydrodynamics yang menggunakan bola magnet untuk gelombang pantai belum ada.…”

Section: Pendahuluanunclassified

Disain LieYo Hidro Generator Explorasi Energi Arus Lepas Pantai

Jasa¹,

Ardana²

2018

JTE

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Sea currents are one of these renewable energy sources that have not been developed, because they cost a lot and the capacity of energy produced is small. The presence of corrosion factors of sea air to the material containing the iron element of the material used must be of stainless steel. The existence of coral reefs that grow on objects submerged in the sea in a long time. Based on the above problems, the researcher wanted to develop an idea to make LieYo hydro generator. The idea of generating this generator is based on a magnetic ball placed on a vertically mounted pipe and each pipe is paired with a coil, a magnet ball that moves freely up and down in the pipe due to the wobble of the sea surface. Movement of magnetic spheres up and down causing the coils to receive magnetic field lines, the movement of the magnetic sphere will form an electric current on the coil. Several designs were tried out from the results of this study. Later can be used as the basis of designing a LieYo hydro generator.

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Section: Pendahuluanunclassified

Disain LieYo Hidro Generator Explorasi Energi Arus Lepas Pantai

Jasa¹,

Ardana²

2018

JTE

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“…For this kind of application, the polymer precursor leads to a stratified structure of a solidified film of polymer and so we have a natural question: is such fluid almost incompressible such that it is strongly stratified when → 0 as the different models of compressible fluid? In this paper, we derive the rigorous result of the incompressible limit of the flow of liquid crystals with the similar idea used in the previous results [7,[10][11][12]. Formally, we will investigate the limit…”

Section: Introductionmentioning

confidence: 96%

“…For the liquid crystals, there is one recent progress by Wang and Yu [2] based on the spectral analysis and Duhamel's principle to control difficulties arising in the boundary of bounded domains. There are some results of incompressible limit problems of Navier Stoke Fourier system under strong stratification by Feireisl and Novotný [7] on bounded domain and by Feireisl et al on unbounded domains, which is extended to full magnetohydrodynamic flows on bounded domain by Novotný et al [10] and by Lee et al [11].…”

Section: Introductionmentioning

confidence: 99%

On the Incompressible Limit for the Compressible Flows of Liquid Crystals under Strong Stratification on Bounded Domains

Kwon

2013

Abstract and Applied Analysis

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The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force

2016

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The asymptotic stability of the steady state with the strictly positive constant density and the vanishing velocity and magnetic field to the Cauchy problem of the three-dimensional compressible viscous, heat-conducting magnetohydrodynamic equations with Coulomb force is established under small initial perturbations. Using a general energy method, we obtain the optimal time decay rates of the solution and its higher-order spatial derivatives by introducing the negative Sobolev and Besov spaces. As a corollary, the [Formula: see text]–[Formula: see text] [Formula: see text] type of the decay rates follows without requiring that the [Formula: see text] norm of initial data is small.

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Incompressible limit for the full magnetohydrodynamics flows under strong stratification

Cited by 4 publications

References 11 publications

Disain LieYo Hidro Generator Explorasi Energi Arus Lepas Pantai

Disain LieYo Hidro Generator Explorasi Energi Arus Lepas Pantai

On the Incompressible Limit for the Compressible Flows of Liquid Crystals under Strong Stratification on Bounded Domains

The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force

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