標(biāo)題: Titlebook: Hyperbolic Conservation Laws in Continuum Physics; Constantine M. Dafermos Book 20001st edition Springer-Verlag Berlin Heidelberg 2000 Bou [打印本頁] 作者: 夸大 時(shí)間: 2025-3-21 16:22
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書目名稱Hyperbolic Conservation Laws in Continuum Physics讀者反饋學(xué)科排名
作者: Ingredient 時(shí)間: 2025-3-21 23:02
Entropy and the Stability of Classical Solutions,n the exposition of the theory of hyperbolic systems of balance laws in this book will be that companion balance laws induce stability under various guises. The reader will get here a glimpse of the implications of entropy inequalities on the stability of classical solutions.作者: 取之不竭 時(shí)間: 2025-3-22 02:16
Genuinely Nonlinear Scalar Conservation Laws,nlinear scalar conservation laws is that the extremal backward generalized characteristics are essentially classical characteristics, that is straight lines along which the solution is constant. This property induces such a heavy constrain that one is able to derive very precise information on regularity and large time behavior of solutions.作者: 哭得清醒了 時(shí)間: 2025-3-22 05:24 作者: faultfinder 時(shí)間: 2025-3-22 11:06 作者: 噴出 時(shí)間: 2025-3-22 15:32
Genuinely Nonlinear Systems of Two Conservation Laws,e of coordinate systems of Riemann invariants and the induced rich family of entropy-entropy flux pairs. The principal tools in the investigation will be generalized characteristics and entropy estimates.作者: Indent 時(shí)間: 2025-3-22 18:39
0072-7830 s both an introduction to the field and a reference for reseThe seeds of Continuum Physics were planted with the works of the natural philosophers of the eighteenth century, most notably Euler; by the mid-nineteenth century, the trees were fully grown and ready to yield fruit. It was in this envi- r作者: Verify 時(shí)間: 2025-3-22 21:35
Generalized Characteristics,tics, emanating from any point in the domain of an admissible solution, always propagate with classical characteristic speed. The implications of these properties to the theory of weak solutions will be demonstrated in following chapters.作者: 北京人起源 時(shí)間: 2025-3-23 01:56 作者: CHOIR 時(shí)間: 2025-3-23 08:57 作者: 膽汁 時(shí)間: 2025-3-23 11:17 作者: 座右銘 時(shí)間: 2025-3-23 15:01 作者: commute 時(shí)間: 2025-3-23 20:57 作者: 正常 時(shí)間: 2025-3-23 22:40 作者: 技術(shù) 時(shí)間: 2025-3-24 04:08 作者: Parley 時(shí)間: 2025-3-24 08:15 作者: 美學(xué) 時(shí)間: 2025-3-24 13:09
Constantine M. Dafermosiel sei die exponentiell mit der Zeit . abnehmende Menge .(.) einer radioaktiven Substanz nach dem Zerfallsgesetz .(.) = . angeführt (. ist die Substanzmenge zum Zeitpunkt . = 0 und λ die Zerfallskonstante). Vor allem in biologischen Systemen ist es aber nicht immer gerechtfertigt, Ver?nderungen im 作者: blight 時(shí)間: 2025-3-24 15:20
Constantine M. Dafermos. Diese Thematik wird in einer Vielzahl von Lehrbüchern ausführlich dargestellt (vgl. [ARN 2001], [AUL 2004], [HAL 1969], [JOR 1999], [WAL 2000],[WIL 1971]). Ein Grundprinzip der L?sung von nichtlinearen Differentialgleichungen ist das Prinzip der Linearisierung, in dem gewisse Eigenschaften auf der作者: 拒絕 時(shí)間: 2025-3-24 20:19
Constantine M. Dafermos. Diese Thematik wird in einer Vielzahl von Lehrbüchern ausführlich dargestellt (vgl. [ARN 2001], [AUL 2004], [HAL 1969], [JOR 1999], [WAL 2000],[WIL 1971]). Ein Grundprinzip der L?sung von nichtlinearen Differentialgleichungen ist das Prinzip der Linearisierung, in dem gewisse Eigenschaften auf der作者: Schlemms-Canal 時(shí)間: 2025-3-25 00:42 作者: Autobiography 時(shí)間: 2025-3-25 05:46 作者: Coronation 時(shí)間: 2025-3-25 08:57
Constantine M. Dafermosiel sei die exponentiell mit der Zeit . abnehmende Menge . einer radioaktiven Substanz nach dem Zerfallsgesetz . = .... angeführt (.. ist die Substanzmenge zum Zeitpunkt . und . die Zerfallskonstante). Vor allem in biologischen Systemen ist es aber nicht immer gerechtfertigt, Ver?nderungen im Verlau作者: 厭倦嗎你 時(shí)間: 2025-3-25 12:48 作者: 小步走路 時(shí)間: 2025-3-25 19:45 作者: cushion 時(shí)間: 2025-3-25 22:05 作者: Insensate 時(shí)間: 2025-3-26 03:18
The Initial-Value Problem: Admissibility of Solutions, Nonuniqueness of weak solutions will be demonstrated in the context of the simplest nonlinear scalar conservation law, the well-known Burgers equation. This raises the need to devise conditions that will weed out unstable, physically irrelevant, or otherwise undesirable solutions, hopefully singlin作者: 大吃大喝 時(shí)間: 2025-3-26 05:35 作者: 木訥 時(shí)間: 2025-3-26 12:25
The ,, Theory of the Scalar Conservation Law,ve, method of characteristics yields a sharper version of Theorem 5.1.1, determining explicitly the life span of solutions with Lipschitz continuous initial data and thereby demonstrating that in general this life span is finite. Thus one has to deal with weak solutions, even when the initial data a作者: ARBOR 時(shí)間: 2025-3-26 12:37 作者: 世俗 時(shí)間: 2025-3-26 20:42 作者: Binge-Drinking 時(shí)間: 2025-3-27 00:20
Generalized Characteristics,., since it is within its confines that one may discern shocks and study their propagation and interactions. The notion of characteristic, introduced in Section 7.2 for classical solutions, will here be extended to the framework of . weak solutions. It will be established that generalized characteri作者: 異常 時(shí)間: 2025-3-27 02:03
Genuinely Nonlinear Scalar Conservation Laws,serves attention, not only for its intrinsic interest, but also because it provides valuable insight in the behavior of systems. The discussion here will employ the theory of generalized characteristics developed in Chapter X. From the standpoint of this approach, the special feature of genuinely no作者: Console 時(shí)間: 2025-3-27 07:05
Genuinely Nonlinear Systems of Two Conservation Laws,recision comparable to that for genuinely nonlinear scalar conservation laws, expounded in Chapter X1. This will be achieved by exploiting the presence of coordinate systems of Riemann invariants and the induced rich family of entropy-entropy flux pairs. The principal tools in the investigation will作者: 無彈性 時(shí)間: 2025-3-27 11:50
The Random Choice Method,property, which applies not only to the solutions themselves but even to their approximations by means of vanishing viscosity, layering, relaxation, etc. For systems, however, the situation is different: ..-contraction no longer applies; in its place, ..-Lipschitz continuity will eventually be estab作者: 口味 時(shí)間: 2025-3-27 15:58
The Front Tracking Method and Standard Riemann Semigroups,g the waves and monitoring their interactions as they collide. Interactions between shocks are easily resolved by solving Riemann problems; this is not the case, however, with interactions involving rarefaction waves. The random choice method, expounded in Chapter XIII, side-steps this difficulty by作者: epinephrine 時(shí)間: 2025-3-27 21:21 作者: 幼稚 時(shí)間: 2025-3-27 22:41
Book 20001st edition so-called "extensive quantities", such as mass, momentum and energy, are monitored through the fields of their densities, which are related by balance laws and constitutive equations. A self-contained, though skeletal, introduction to this branch of classical physics is presented in Chapter II. The作者: Jargon 時(shí)間: 2025-3-28 05:52
The Front Tracking Method and Standard Riemann Semigroups,any rarefaction wave may be approximated arbitrarily close by fans of (inadmissible) shocks of very small strength. The expectation is that in the limit, as this approximation becomes finer, one recovers admissible solutions.作者: pacific 時(shí)間: 2025-3-28 07:07 作者: 女上癮 時(shí)間: 2025-3-28 12:40
Constantine M. Dafermosand mathematical evidence is on the borderline between judgement and belief..However, this is not a unique situation as there are other fields in which the judge has to believe rather than fully understand the expert..The rapid developments in the positive proof of paternity, especially since 1970, 作者: Overthrow 時(shí)間: 2025-3-28 16:36 作者: –FER 時(shí)間: 2025-3-28 19:59 作者: 值得尊敬 時(shí)間: 2025-3-29 01:41 作者: gustation 時(shí)間: 2025-3-29 05:53 作者: expository 時(shí)間: 2025-3-29 09:36
Constantine M. Dafermosende Zustandsvariable . (z.B. die Gr??e einer Population) erfa?t. Die in aufeinanderfolgenden Zeitpunkten . = . (. = 0, 1,…) bestimmten Werte ., .,… von . bilden eine ., durch die die zeitliche ?nderung des betrachteten Systems als ein . beschrieben wird. Die Folge bezeichnen wir kurz mit {.}, . hei作者: Armada 時(shí)間: 2025-3-29 14:18 作者: bonnet 時(shí)間: 2025-3-29 18:38
Constantine M. Dafermos L?sungen zu betrachten. Man kann fragen, bei welchen Ver?nderungen des Systems qualitative Eigenschaften erhalten bleiben, wir werden dabei zum Begriff der strukturellen Stabilit?t geführt. Für das Verhalten für gro?e Zeiten haben wir bereits Beispiele zur Konvergenz, zu zyklischem Verhalten und zu作者: 神化怪物 時(shí)間: 2025-3-29 23:16
Constantine M. Dafermos L?sungen zu betrachten. Man kann fragen, bei welchen Ver?nderungen des Systems qualitative Eigenschaften erhalten bleiben, wir werden dabei zum Begriff der strukturellen Stabilit?t geführt. Für das Verhalten für gro?e Zeiten haben wir bereits Beispiele zur Konvergenz, zu zyklischem Verhalten und zu作者: 用手捏 時(shí)間: 2025-3-30 00:32 作者: 委托 時(shí)間: 2025-3-30 04:11 作者: mosque 時(shí)間: 2025-3-30 10:26
Constantine M. Dafermosdurch auftretenden Probleme, vor allem der Integration und Kommunikation, sollen mit Hilfe der Medizinischen Informatik bew?ltigt werden. Das Buch ist eine Erg?nzung der Vorlesung und der praktischen übungen. Sein Inhalt beschr?nkt sich daher im wesentlichen auf den Gegenstandskatalog für den Ersten作者: 雪白 時(shí)間: 2025-3-30 15:14 作者: 樹木心 時(shí)間: 2025-3-30 17:07 作者: CYN 時(shí)間: 2025-3-30 22:46 作者: 清晰 時(shí)間: 2025-3-31 01:44
https://doi.org/10.1007/978-3-662-22019-1Boundary value problem; Entropy; hyperbolic conservation laws; partial differential equation; partial di作者: 注意力集中 時(shí)間: 2025-3-31 08:25
Springer-Verlag Berlin Heidelberg 2000作者: 斷言 時(shí)間: 2025-3-31 11:44
Hyperbolic Conservation Laws in Continuum Physics978-3-662-22019-1Series ISSN 0072-7830 Series E-ISSN 2196-9701 作者: tic-douloureux 時(shí)間: 2025-3-31 15:43
The ,, Theory of the Scalar Conservation Law,ve, method of characteristics yields a sharper version of Theorem 5.1.1, determining explicitly the life span of solutions with Lipschitz continuous initial data and thereby demonstrating that in general this life span is finite. Thus one has to deal with weak solutions, even when the initial data are very smooth.作者: 不愛防注射 時(shí)間: 2025-3-31 19:42
Admissible Wave Fans and the Riemann Problem,lar solutions, which stay constant along straight-line rays emanating from some focal point in space-time. Such solutions depict a collection of waves converging to the focal point and interacting there to produce a jump discontinuity which is in turn resolved into an outgoing wave fan.作者: 的闡明 時(shí)間: 2025-3-31 23:34
Constantine M. DafermosThe author is unquestionably the greatest authority on the subject as well as a masterly writer.The book will immediately find a following as both an introduction to the field and a reference for rese
