# zbMATH — the first resource for mathematics

## Preston, Serge

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 Author ID: preston.serge Published as: Preston, S.; Preston, Serge; Prishepionok, S.; Prishepionok, S. J.
 Documents Indexed: 23 Publications since 1992, including 1 Book
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#### Co-Authors

 6 single-authored 5 Elżanowski, Marek Z. 3 Dolfin, Marina 3 Francaviglia, Mauro 2 Kunin, I. 2 Restuccia, Liliana 1 Botvinnik, Boris I. 1 Chernykh, German A. 1 Chudnovsky, Alexander 1 Ciancio, Vincenzo 1 Fish, Dan 1 Gliklikh, Yuriĭ Evgen’evich 1 Hussain, Fawad 1 Kunin, Isaak A. 1 Zhou, Xiang
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#### Serials

 5 International Journal of Geometric Methods in Modern Physics 2 International Journal of Engineering Science 1 Differential Geometry and its Applications 1 Journal of Non-Equilibrium Thermodynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Mathematics and Mechanics of Solids 1 Miskolc Mathematical Notes 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematics 1 Interaction of Mechanics and Mathematics
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#### Fields

 9 Mechanics of deformable solids (74-XX) 7 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

12 Publications have been cited 25 times in 18 Documents Cited by Year
Centroidal frames in dynamical systems. I: Point vortices. Zbl 0782.76018
Kunin, I. A.; Hussain, F.; Zhou, X.; Prishepionok, S. J.
1992
On continuously defective elastic crystals. Zbl 1299.53161
Elzanowski, Marek Z.; Preston, Serge
2013
$$G$$-moving frames and their applications in dynamics. Zbl 0900.70202
Kunin, I.; Prishepionok, S.
1995
Entropy form and the contact geometry of the material point model. Zbl 1248.80002
Dolfin, M.; Francaviglia, M.; Preston, S.; Restuccia, L.
2012
Material element model and the geometry of the entropy form. Zbl 1201.80001
Dolfin, M.; Francaviglia, M.; Preston, S.; Restuccia, L.
2010
Variational theory of balance systems. Zbl 1205.80041
Preston, Serge
2010
On the geometrical characteristics of chaotic dynamics. I. Zbl 1211.37039
Preston, S.; Kunin, I.; Gliklikh, Y. E.; Chernykh, G.
2003
Continuously defective crystals with a prescribed dislocation density. Zbl 1302.74126
Elżanowski, Marek Z.; Preston, Serge
2014
Variational theory of balance systems. Zbl 1159.58305
Preston, Serge
2008
A model of the self-driven evolution of a defective continuum. Zbl 1175.74025
Elżanowski, Marek; Preston, Serge
2007
Modelling the evolution of inhomogeneities. Zbl 1085.74011
Preston, Serge; Elżanowski, Marek
2005
Higher grade material structures. Zbl 0877.73002
Elżanowski, M.; Prishepionok, S.
1995
Continuously defective crystals with a prescribed dislocation density. Zbl 1302.74126
Elżanowski, Marek Z.; Preston, Serge
2014
On continuously defective elastic crystals. Zbl 1299.53161
Elzanowski, Marek Z.; Preston, Serge
2013
Entropy form and the contact geometry of the material point model. Zbl 1248.80002
Dolfin, M.; Francaviglia, M.; Preston, S.; Restuccia, L.
2012
Material element model and the geometry of the entropy form. Zbl 1201.80001
Dolfin, M.; Francaviglia, M.; Preston, S.; Restuccia, L.
2010
Variational theory of balance systems. Zbl 1205.80041
Preston, Serge
2010
Variational theory of balance systems. Zbl 1159.58305
Preston, Serge
2008
A model of the self-driven evolution of a defective continuum. Zbl 1175.74025
Elżanowski, Marek; Preston, Serge
2007
Modelling the evolution of inhomogeneities. Zbl 1085.74011
Preston, Serge; Elżanowski, Marek
2005
On the geometrical characteristics of chaotic dynamics. I. Zbl 1211.37039
Preston, S.; Kunin, I.; Gliklikh, Y. E.; Chernykh, G.
2003
$$G$$-moving frames and their applications in dynamics. Zbl 0900.70202
Kunin, I.; Prishepionok, S.
1995
Higher grade material structures. Zbl 0877.73002
Elżanowski, M.; Prishepionok, S.
1995
Centroidal frames in dynamical systems. I: Point vortices. Zbl 0782.76018
Kunin, I. A.; Hussain, F.; Zhou, X.; Prishepionok, S. J.
1992
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#### Cited by 23 Authors

 4 Parry, Gareth P. 4 Preston, Serge 3 Elżanowski, Marek Z. 3 Kunin, I. 2 Epstein, Marcelo 2 Restuccia, Liliana 2 Zyskin, Maxim 1 Bravetti, Alessandro 1 Chernykh, German A. 1 Ciancio, Vincenzo 1 Clayton, John D. 1 de León Rodríguez, Manuel 1 Dolfin, Marina 1 Francaviglia, Mauro 1 Grotta Ragazzo, Clodoaldo 1 Hussain, Fazle 1 Koiller, Jair 1 Kunin, B. 1 Marsden, Jerrold Eldon 1 Muniz Oliva, Waldyr 1 Scheurle, Jürgen 1 Segev, Reuven 1 Zhou, Xianyi
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#### Cited in 9 Serials

 4 International Journal of Geometric Methods in Modern Physics 3 International Journal of Engineering Science 2 Journal of Elasticity 2 Mathematics and Mechanics of Solids 1 Journal of Geometry and Physics 1 Dynamics and Stability of Systems 1 Differential Geometry and its Applications 1 Journal of Nonlinear Science 1 Communications in Mathematics
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#### Cited in 14 Fields

 9 Mechanics of deformable solids (74-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 3 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)