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  • 1
    Book
    Book
    The Stefan problem / (1992)
    Berlin [u.a.] :de Gruyter,
    Details
    UID:
    almafu_BV004762666
    Format: IX, 244 S. : , graph. Darst.
    ISBN: 3-11-011479-8
    Series Statement: De Gruyter expositions in mathematics 3
    Uniform Title: Zadača Stefana
    Note: Aus d. Russ. übers.
    Language: English
    Subjects: Physics , Mathematics
    RVK:
    UP 5200
    RVK:
    SK 560
    RVK:
    SK 950
    Keywords: Stefan-Problem
    Author information: Meirmanov, Anvarbek M. 1947-
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  • 2
    Book
    Book
    The Stefan problem (1992)
    Berlin : Walter de Gruyter
    Details
    UID:
    gbv_02539553X
    Format: IX, 244 S , graph. Darst , 24 cm
    ISBN: 3110114798
    Series Statement: De Gruyter expositions in mathematics 3
    Uniform Title: Zadača Stefana 〈engl.〉
    Note: Literaturverz. S. [231] - 244 , Aus dem Russ. übers
    Additional Edition: Online-Ausg. Meirmanov, Anvarbek M., 1947 - The Stefan Problem Berlin ;New York : Walter de Gruyter, 2011 ISBN 9783110846720
    Additional Edition: Erscheint auch als Online-Ausgabe Meirmanov, A. M The Stefan Problem. Berlin/Boston : De Gruyter, Inc., 2011 ISBN 9783110846720
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    RVK:
    SK 950
    Keywords: Stefan-Problem
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    Author information: Meirmanov, Anvarbek M. 1947-
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  • 3
    Online Resource
    Online Resource
    The Stefan Problem / (2011)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949461102402882
    Format: 1 online resource (245 p.)
    Edition: Reprint 2011
    ISBN: 9783110846720 , 9783110494969
    Series Statement: De Gruyter Expositions in Mathematics , 3
    Note: Frontmatter -- , Introduction -- , Chapter I. Preliminaries -- , Chapter II. Classical solution of the multidimensional Stefan problem -- , Chapter III. Existence of the classical solution to the multidimensional Stefan problem on an arbitrary time interval -- , Chapter IV. Lagrange variables in the multidimensional one-phase Stefan problem -- , Chapter V. Classical solution of the one-dimensional Stefan problem for the homogeneous heat equation -- , Chapter VI. Structure of the generalized solution to the one-phase Stefan problem. Existence of a mushy region -- , Chapter VII. Time-periodic solutions of the one-dimensional Stefan problem -- , Chapter VIII. Approximate approaches to the two-phase Stefan problem -- , Appendix -- , Modelling of binary alloy crystallization -- , References -- , Supplementary references -- , Index -- , Backmatter , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.
    In: DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969
    In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199
    In: E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957
    Additional Edition: ISBN 9783110114799
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    DOI: 10.1515/9783110846720
    URL: https://doi.org/10.1515/9783110846720
    URL: https://www.degruyter.com/isbn/9783110846720
    URL: Cover
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  • 4
    Book
    Book
    The Stefan problem; 3 (1992)
    Berlin u.a. :de Gruyter,
    Details
    UID:
    kobvindex_ZIB000001050
    Format: 245 S.
    ISBN: 3-11-011479-8
    Series Statement: de Gruyter expositions in mathematics 3
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  • 5
    Book
    Book
    The Stefan problem / (1992)
    Berlin [u. a.] :de Gruyter,
    Details
    UID:
    almahu_BV025858856
    Format: IX, 244 S. : , graph. Darst.
    ISBN: 3-11-011479-8
    Series Statement: De Gruyter expositions in mathematics 3
    Uniform Title: Zadaca Stefana
    Note: Aus d. Russ. übers.
    Language: English
    Keywords: Stefan-Problem
    Author information: Meirmanov, Anvarbek M., 1947-
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  • 6
    Online Resource
    Online Resource
    The Stefan problem (1992)
    Berlin ;New York : Walter de Gruyter
    Details
    UID:
    almahu_9947360003102882
    Format: Online-Ressource (ix, 244 p) , ill
    Edition: Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web
    ISBN: 3110114798 (alk. paper) , 9783110114799 (alk. paper)
    Series Statement: De Gruyter expositions in mathematics 3
    Uniform Title: Zadacha Stefana. ‹engl.›
    Content: The Stefan Problem (Kirchen Der Welt)
    Note: Includes bibliographical references (p. [231]-244) and index , Translation of: Zadacha Stefana , 1. The one-phase Stefan problem. Main result2. The simplest problem setting; 3. Construction of approximate solutions to the one-phase Stefan problem over a small time interval; 4. A lower bound on the existence interval of the solution. Passage to the limit; 5. The two-phase Stefan problem; Chapter III. Existence of the classical solution to the multidimensional Stefan problem on an arbitrary time interval; 1. The one-phase Stefan problem; 2. The two-phase Stefan problem. Stability of the stationary solution; 2.1. Problem statement. Main result. , 2. Structure of the mushy phase for temperature on the boundary of Ω∞ with constant sign. , 2.2. Formulation of the equivalent boundary value problem2.3. Construction of approximate solutions; 2.4. A lower bound for the constant δ3; 2.5. Proof of the main result; Chapter IV. Lagrange variables in the multidimensional one-phase Stefan problem; 1. Formulation of the problem in Lagrange variables; 2. Linearization; 3. Correctness of the linear model; Chapter V. Classical solution of the one-dimensional Stefan problem for the homogeneous heat equation; 1. The one-phase Stefan problem. Existence of the solution; 2. Asymptotic behaviour of the solution of the one-phase Stefan problem. , 3. The two-phase Stefan problem4. Special cases: one-phase initial state, violation of compatibility conditions, unbounded domains; 5. The two-phase multi-front Stefan problem; 6. Filtration of a viscid compressible liquid in a vertical porous layer; 6.1. Problem statement. The main result; 6.2. An equivalent boundary value problem in a fixed domain; 6.3. A comparison lemma; 6.4. The case ∫1∞1/f(p)dp = ∞; 6.5. The case f(p) = exp(p - 1); 6.6. The case f(p) = pγ, γ ≥ 1; 6.7. Asymptotic behaviour of the solution, as t→∞. , Chapter VI. Structure of the generalized solution to the one-phase Stefan problem. Existence of a mushy region1. The inhomogeneous heat equation. Formation of the mushy region; 2. The homogeneous heat equation. Dynamic interactions between the mushy phase and the solid/liquid phases; 3. The homogeneous heat equation. Coexistence of different phases; 4. The case of an arbitrary initial distribution of specific internal energy; Chapter VII. Time-periodic solutions of the one-dimensional Stefan problem; 1. Construction of the generalized solution. , Preface to the English edition; Preface; Introduction; Chapter I. Preliminaries; 1. Problem statement; 2. Assumed notation. Auxiliary notation; 2.1. Notation; 2.2. Basic function spaces; 2.3. Auxiliary inequalities and embedding theorems; 2.4. Auxiliary facts from analysis; 2.5. Properties of solutions of differential equations; 2.6. The Cauchy problem for the heat equation over smooth unbounded manifolds in the classes Hl+2,(l+2)/2(ST); 3. Existence and uniqueness of the generalized solution to the Stefan problem; Chapter II. Classical solution of the multidimensional Stefan problem.
    Additional Edition: ISBN 9783110846720
    Language: English
    DOI: 10.1515/9783110846720
    URL: http://www.degruyter.com/doi/book/10.1515/9783110846720
    URL: Cover
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  • 7
    Online Resource
    Online Resource
    The Stefan problem / (1992)
    Berlin ; : Walter de Gruyter,
    Details
    UID:
    edocfu_9959232862302883
    Format: 1 online resource (256 p.)
    Edition: Reprint 2011
    ISBN: 3-11-084672-1
    Series Statement: De Gruyter Expositions in Mathematics ; 3
    Uniform Title: Zadacha Stefana.
    Content: The Stefan Problem (Kirchen Der Welt)
    Note: Translation of: Zadacha Stefana. , Front matter -- , Introduction -- , Chapter I. Preliminaries -- , Chapter II. Classical solution of the multidimensional Stefan problem -- , Chapter III. Existence of the classical solution to the multidimensional Stefan problem on an arbitrary time interval -- , Chapter IV. Lagrange variables in the multidimensional one-phase Stefan problem -- , Chapter V. Classical solution of the one-dimensional Stefan problem for the homogeneous heat equation -- , Chapter VI. Structure of the generalized solution to the one-phase Stefan problem. Existence of a mushy region -- , Chapter VII. Time-periodic solutions of the one-dimensional Stefan problem -- , Chapter VIII. Approximate approaches to the two-phase Stefan problem -- , Appendix -- , Modelling of binary alloy crystallization / , References -- , Supplementary references -- , Index -- , Back matter , Issued also in print. , English
    Additional Edition: ISBN 3-11-011479-8
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    DOI: 10.1515/9783110846720
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
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  • 8
    Online Resource
    Online Resource
    The Stefan Problem / (2011)
    Berlin ;Boston :De Gruyter,
    Details
    UID:
    edocfu_9958354974002883
    Format: 1 online resource (255p.)
    Edition: Reprint 2011
    ISBN: 9783110846720
    Series Statement: De Gruyter Expositions in Mathematics ; 3
    Note: Frontmatter -- , Introduction -- , Chapter I. Preliminaries -- , Chapter II. Classical solution of the multidimensional Stefan problem -- , Chapter III. Existence of the classical solution to the multidimensional Stefan problem on an arbitrary time interval -- , Chapter IV. Lagrange variables in the multidimensional one-phase Stefan problem -- , Chapter V. Classical solution of the one-dimensional Stefan problem for the homogeneous heat equation -- , Chapter VI. Structure of the generalized solution to the one-phase Stefan problem. Existence of a mushy region -- , Chapter VII. Time-periodic solutions of the one-dimensional Stefan problem -- , Chapter VIII. Approximate approaches to the two-phase Stefan problem -- , Appendix -- , Modelling of binary alloy crystallization -- , References -- , Supplementary references -- , Index -- , Backmatter , In English.
    Additional Edition: ISBN 978-3-11-011479-9
    Language: English
    DOI: 10.1515/9783110846720
    URL: https://doi.org/10.1515/9783110846720
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
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