eBook ISBN: | 978-0-8218-7650-3 |
Product Code: | CONM/60.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
eBook ISBN: | 978-0-8218-7650-3 |
Product Code: | CONM/60.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 60; 1987; 133 ppMSC: Primary 35; Secondary 65; 76
The area of nonstrictly hyperbolic conservation laws is emerging as an important field, not only because it developed from applications of current interest, such as reservoir simulation, visco-elasticity, and multiphase flow, but also because the subject raises interesting mathematical questions of well-posedness, the structure of solutions, and admissibility criteria for weak solutions. The papers in this collection are based on talks presented at an AMS Special Session, held in Anaheim, California, in January 1985.
Requiring some background in conservation laws, this collection will be of interest to research mathematicians working in the field of nonstrictly hyperbolic partial differential equations, as well as students who are learning the area and are looking for new applications and challenging problems in this field. The collection provides an overview of the field, examples of applications, descriptions of available techniques, and a bibliography of the literature.
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Table of Contents
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Articles
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Stuart S. Antman and Reza Malek-Madani — Waves in nonlinearly viscoelastic media [ MR 873525 ]
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Matania Ben-Artzi — The generalized Riemann problem in compressible duct flow [ MR 873526 ]
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M. Brio and C. C. Wu — Characteristic fields for the equations of magnetohydrodynamics [ MR 873527 ]
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D. G. Ebin and R. A. Saxton — The equations of incompressible elasticity [ MR 873528 ]
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J. Glimm and D. H. Sharp — Elementary waves for hyperbolic equations in higher space dimensions: an example from petroleum reservoir modeling [ MR 873529 ]
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Eduard Harabetian — Cauchy-Kovalevsky theorems for hyperbolic systems of conservation laws with piecewise analytic initial data [ MR 873530 ]
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Harumi Hattori — The entropy rate admissibility criterion and the double phase boundary problem [ MR 873531 ]
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Barbara Lee Keyfitz — Some elementary connections among nonstrictly hyperbolic conservation laws [ MR 873532 ]
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W. B. Lindquist — The scalar Riemann problem in two spatial dimensions: piecewise smoothness of solutions [ MR 873533 ]
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D. Marchesin, H. B. Medeiros and P. J. Paes-Leme — A model for two phase flow with hysteresis [ MR 873534 ]
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Michael Shearer — Phase jumps near the Maxwell line [ MR 873536 ]
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M. Slemrod and V. Roytburd — Measure-valued solutions to a problem in dynamic phase transitions [ MR 873537 ]
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Blake Temple — Degenerate systems of conservation laws [ MR 873538 ]
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The area of nonstrictly hyperbolic conservation laws is emerging as an important field, not only because it developed from applications of current interest, such as reservoir simulation, visco-elasticity, and multiphase flow, but also because the subject raises interesting mathematical questions of well-posedness, the structure of solutions, and admissibility criteria for weak solutions. The papers in this collection are based on talks presented at an AMS Special Session, held in Anaheim, California, in January 1985.
Requiring some background in conservation laws, this collection will be of interest to research mathematicians working in the field of nonstrictly hyperbolic partial differential equations, as well as students who are learning the area and are looking for new applications and challenging problems in this field. The collection provides an overview of the field, examples of applications, descriptions of available techniques, and a bibliography of the literature.
-
Articles
-
Stuart S. Antman and Reza Malek-Madani — Waves in nonlinearly viscoelastic media [ MR 873525 ]
-
Matania Ben-Artzi — The generalized Riemann problem in compressible duct flow [ MR 873526 ]
-
M. Brio and C. C. Wu — Characteristic fields for the equations of magnetohydrodynamics [ MR 873527 ]
-
D. G. Ebin and R. A. Saxton — The equations of incompressible elasticity [ MR 873528 ]
-
J. Glimm and D. H. Sharp — Elementary waves for hyperbolic equations in higher space dimensions: an example from petroleum reservoir modeling [ MR 873529 ]
-
Eduard Harabetian — Cauchy-Kovalevsky theorems for hyperbolic systems of conservation laws with piecewise analytic initial data [ MR 873530 ]
-
Harumi Hattori — The entropy rate admissibility criterion and the double phase boundary problem [ MR 873531 ]
-
Barbara Lee Keyfitz — Some elementary connections among nonstrictly hyperbolic conservation laws [ MR 873532 ]
-
W. B. Lindquist — The scalar Riemann problem in two spatial dimensions: piecewise smoothness of solutions [ MR 873533 ]
-
D. Marchesin, H. B. Medeiros and P. J. Paes-Leme — A model for two phase flow with hysteresis [ MR 873534 ]
-
Michael Shearer — Phase jumps near the Maxwell line [ MR 873536 ]
-
M. Slemrod and V. Roytburd — Measure-valued solutions to a problem in dynamic phase transitions [ MR 873537 ]
-
Blake Temple — Degenerate systems of conservation laws [ MR 873538 ]