Compressible magnetohydrodynamics as a dissipative system

• 資料種別: 記事
• タイトル: Compressible magnetohydrodynamics as a dissipative system
• 著者・編者: Jan BREZINA; Eduard FEIREISL
• 著者標目: Jan BREZINA; Eduard FEIREISL
• タイトル（掲載誌）: Journal of the Mathematical Society of Japan
• 巻号年月日等（掲載誌）: 77(3):2025.7
• 掲載巻: 77
• 掲載号: 3
• 掲載ページ: 763-795
• 掲載年月日（W3CDTF）: 2025-07
• ISSN（掲載誌）: 0025-5645
• ISSN-L（掲載誌）: 0025-5645
• 出版事項（掲載誌）: Tokyo : Mathematical Society of Japan
• 出版地（国名コード）: JP
• 本文の言語コード: eng
• 件名標目: compressible MHD system; Levinson dissipativity; asymptotic compactness; attractor
• NDLC: ZM31
• 対象利用者: 一般
• 所蔵機関: 国立国会図書館
• 請求記号: Z53-A209
• 連携機関・データベース: 国立国会図書館 : 国立国会図書館雑誌記事索引; https://ndlsearch.ndl.go.jp
• 書誌ID（NDLBibID）: 034225726; http://id.ndl.go.jp/bib/034225726
• 整理区分コード: 632

• 要約等: <p>We consider the complete system of equations governing the motion of a general compressible, viscous, electrically and heat conductive fluid driven by non-conservative boundary conditions. We show the existence of a bounded absorbing set in the energy space and asymptotic compactness of trajectories. As a corollary, the set of all entire globally bounded solutions is identified as a natural attractor. Examples of boundary conditions giving rise to unbounded solutions are also discussed.</p>
• DOI: 10.2969/jmsj/92789278
• オンライン閲覧公開範囲: インターネット公開
• 連携機関・データベース: 科学技術振興機構 : J-STAGE; http://www.jstage.jst.go.jp

• 要約等: <p>We consider the complete system of equations governing the motion of a general compressible, viscous, electrically and heat conductive fluid driven by non-conservative boundary conditions. We show the existence of a bounded absorbing set in the energy space and asymptotic compactness of trajectories. As a corollary, the set of all entire globally bounded solutions is identified as a natural attractor. Examples of boundary conditions giving rise to unbounded solutions are also discussed.</p>
• DOI: 10.2969/jmsj/92789278; https://doi.org/10.2969/jmsj/92789278
• 関連情報（URI）: http://id.ndl.go.jp/bib/034225726; https://ndlsearch.ndl.go.jp/books/R000000004-I034225726
• 参照: $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains; https://cir.nii.ac.jp/crid/1360002219578761600; Stellar Astrophysical Fluid Dynamics; https://cir.nii.ac.jp/crid/1360023718533372800; Astrophysical Fluid Dynamics; https://cir.nii.ac.jp/crid/1360023719100332800; Solvability of Control Problems for Stationary Equations of Magnetohydrodynamics of a Viscous Fluid; https://cir.nii.ac.jp/crid/1360023720252933888; On the boundary conditions in estimating ∇ω by div ω and curl ω; https://cir.nii.ac.jp/crid/1360023721219112192; Leray’s problem on the stationary Navier–Stokes equations with inhomogeneous boundary data; https://cir.nii.ac.jp/crid/1360283690249865856; 𝐿²-well-posedness of 3d div-curl boundary value problems; https://cir.nii.ac.jp/crid/1360305191941780480; The Rayleigh–Bénard Problem for Compressible Fluid Flows; https://cir.nii.ac.jp/crid/1360305192918531712; Towards Understanding Solar Convection and Activity (Invited Review); https://cir.nii.ac.jp/crid/1360305193247131264; On the Long-Time Behaviour of Solutions to the Navier–Stokes–Fourier System with a Time-Dependent Driving Force; https://cir.nii.ac.jp/crid/1360305193348830336; Explicit dimension estimates of attractors for the MHD equations in three-dimensional space; https://cir.nii.ac.jp/crid/1360305194309342848; The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions; https://cir.nii.ac.jp/crid/1360305194649538944; A Finite-Dimensional Attractor for Three-Dimensional Flow of Incompressible Fluids; https://cir.nii.ac.jp/crid/1360305194841496960; Dynamics of Viscous Compressible Fluids; https://cir.nii.ac.jp/crid/1360574095498872704; Navier-Stokes Equations; https://cir.nii.ac.jp/crid/1360574095703842816; $L_{p}$-estimates of the solution of a linear problem arising in magnetohydrodynamics; https://cir.nii.ac.jp/crid/1360586666958297984; On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem; https://cir.nii.ac.jp/crid/1360586667457611776; Global attractors for the three-dimensional Navier-Stokes equations; https://cir.nii.ac.jp/crid/1360586669493152000; Asymptotic Compactness of Global Trajectories Generated by the Navier–Stokes Equations of a Compressible Fluid; https://cir.nii.ac.jp/crid/1360586669823695616; Flux Separation in Stellar Magnetoconvection; https://cir.nii.ac.jp/crid/1360586670116196096; Ergodic theory for energetically open compressible fluid flows; https://cir.nii.ac.jp/crid/1360586670978171904; Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions; https://cir.nii.ac.jp/crid/1360868143117313280; Solvability of an inhomogeneous boundary value problem for steady MHD equations; https://cir.nii.ac.jp/crid/1360868145861409664; Mathematics of Open Fluid Systems; https://cir.nii.ac.jp/crid/1360868145924674816; Navier-Stokes Equations and Turbulence; https://cir.nii.ac.jp/crid/1361137045187024512; An Introduction to the Mathematical Theory of the Navier-Stokes Equations; https://cir.nii.ac.jp/crid/1362262943585941376; The Equations of Magnetohydrodynamics: On the Interaction Between Matter and Radiation in the Evolution of Gaseous Stars; https://cir.nii.ac.jp/crid/1362262943755286016; Inéquations en thermoélasticité et magnétohydrodynamique; https://cir.nii.ac.jp/crid/1363107370691875072; Some mathematical questions related to the mhd equations; https://cir.nii.ac.jp/crid/1363388844772697984; Attractors representing turbulent flows; https://cir.nii.ac.jp/crid/1364233269699004544; On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order; https://cir.nii.ac.jp/crid/1364233270240754304
• 連携機関・データベース: 国立情報学研究所 : CiNii Research; https://cir.nii.ac.jp/
• 提供元機関・データベース: Japan Link Center; https://japanlinkcenter.org/top; 雑誌記事索引データベース; https://ndlsearch.ndl.go.jp; Crossref; https://www.crossref.org
• 書誌ID（NDLBibID）: 034225726; http://id.ndl.go.jp/bib/034225726