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Livre de poche Hystérésis and Phase Transitions par Martin Brokate (anglais)
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Numéro de l'objet eBay :395149801952
Dernière mise à jour : sept. 21, 2024 23:51:42 HAEAfficher toutes les modificationsAfficher toutes les modifications
Caractéristiques de l'objet
- État
- ISBN-13
- 9781461284789
- Book Title
- Hysteresis and Phase Transitions
- ISBN
- 9781461284789
- Subject Area
- Mathematics, Technology & Engineering, Science
- Publication Name
- Hysteresis and Phase Transitions
- Publisher
- Springer New York
- Item Length
- 9.3 in
- Subject
- Materials Science / General, Physics / Mathematical & Computational, Mathematical Analysis
- Publication Year
- 2011
- Series
- Applied Mathematical Sciences Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.3 in
- Item Weight
- 19.9 Oz
- Item Width
- 6.1 in
- Number of Pages
- X, 358 Pages
À propos de ce produit
Product Identifiers
Publisher
Springer New York
ISBN-10
1461284783
ISBN-13
9781461284789
eBay Product ID (ePID)
143590364
Product Key Features
Number of Pages
X, 358 Pages
Publication Name
Hysteresis and Phase Transitions
Language
English
Publication Year
2011
Subject
Materials Science / General, Physics / Mathematical & Computational, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Series
Applied Mathematical Sciences Ser.
Format
Trade Paperback
Dimensions
Item Height
0.3 in
Item Weight
19.9 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
20
Series Volume Number
121
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
510 s
Table Of Content
1. Some Mathematical Tools.- 1.1 Measure and Integration.- 1.2 Function Spaces.- 1.3 Nonlinear Equations.- 1.4 Ordinary Differential Equations.- 2. Hysteresis Operators.- 2.1 Basic Examples.- 2.2 General Hysteresis Operators.- 2.3 The Play Operator.- 2.4 Hysteresis Operators of Preisach Type.- 2.5 Hysteresis Potentials and Energy Dissipation.- 2.6 Hysteresis Counting and Damage.- 2.7 Characterization of Preisach Type Operators.- 2.8 Hysteresis Loops in the Prandtl Model.- 2.9 Hysteresis Loops in the Preisach Model.- 2.10 Composition of Preisach Type Operators.- 2.11 Inverse and Implicit Hysteresis Operators.- 2.12 Hysteresis Count and Damage, Part II.- 3. Hysteresis and Differential Equations.- 3.1 Hysteresis in Ordinary Differential Equations.- 3.2 Auxiliary Imbedding Results.- 3.3 The Heat Equation with Hysteresis.- 3.4 A Convexity Inequality.- 3.5 The Wave Equation with Hysteresis.- 4. Phase Transitions and Hysteresis.- 4.1 Thermodynamic Notions and Relations.- 4.2 Phase Transitions and Order Parameters.- 4.3 Landau and Devonshire Free Energies.- 4.4 Ginzburg Theory and Phase Field Models.- 5. Hysteresis Effects in Shape Memory Alloys.- 5.1 Phenomenology and Falk's Model.- 5.2 Well-Posedness for Falk's Model.- 5.3 Numerical Approximation.- 5.4 Complementary Remarks.- 6. Phase Field Models With Non-Conserving Kinetics.- 6.1 Auxiliary Results from Linear Elliptic and Parabolic Theory.- 6.2 Well-Posedness of the Caginalp Model.- 6.3 Well-Posedness of the Penrose-Fife Model.- 6.4 Complementary Remarks.- 7. Phase Field Models With Conserved Order Parameters.- 7.1 Well-Posedness of the Caginalp Model.- 7.2 Well-Posedness of the Penrose-Fife Model.- 8. Phase Transitions in Eutectoid Carbon Steels.- 8.1 Phenomenology of the Phase Transitions.- 8.2 The MathematicalModel.- 8.3 Well-Posedness of the Model.- 8.4 The Jominy Test: A Numerical Study.
Synopsis
Hysteresis is an exciting and mathematically challenging phenomenon that oc- curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys- teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980., Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.
LC Classification Number
QA299.6-433
Description de l'objet du vendeur
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- l***c (227)- Évaluation laissée par l'acheteur.Dernier moisAchat vérifiéBook came packaged well to avoid damage, in great condition. Not sure if the seller delayed shipping or if usps didn’t update the shipping, which is highly likely. Still received and we are happy with our purchase. I had trouble looking up tracking due to the company they used but seller found usps tracking and sent that over quickly. Sellers communication was excellent. Would buy from again. Item as described.
- t***n (2906)- Évaluation laissée par l'acheteur.Dernier moisAchat vérifiéI don't give negatives; However, description was not correct; No price guide was included in this book.As you will see in book pic shown; title states price guide included, no price guide inside. Communication poor, description, no communication price guide missing from this book. Shipping time was weeks before it was even shipped. Blamed the shipping on warehouse. You own & operate a business; your warehouse is not up to standards you change who you do business with. It's your responsibility.
- -***6 (133)- Évaluation laissée par l'acheteur.Six derniers moisAchat vérifiéItem arrived as described and adequately packaged. Ridiculously long shipping time. Seller posts incorrect tracking number and lists the item as shipped. Contacted seller for correct tracking, received a new tracking number with the warning that the number won’t be “live” until the item is shipped. Will you get your item? Yeah, probably. Count on it being delivered 2-3 weeks longer than expected.