## Saxton, Ralph A.

Compute Distance To:
 Author ID: saxton.ralph-a Published as: Saxton, Ralph; Saxton, R.; Saxton, R. A.; Saxton, Ralph A. more...less External Links: MGP
 Documents Indexed: 28 Publications since 1982 1 Contribution as Editor Reviewing Activity: 34 Reviews Co-Authors: 11 Co-Authors with 20 Joint Publications 358 Co-Co-Authors
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### Co-Authors

 7 single-authored 10 Saxton, Katarzyna 3 Sarria, Alejandro 2 Ebin, David G. 2 Kosiński, Witold 1 Bona, Jerry Lloyd 1 Clarkson, Peter A. 1 Hunter, John K. 1 LeVeque, Randall J. 1 Preston, Stephen C. 1 Tiğlay, Feride 1 Wei, Dongming
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### Serials

 3 Archives of Mechanics 3 Quarterly of Applied Mathematics 2 SIAM Journal on Applied Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Studies in Applied Mathematics 1 Applied Mathematics Letters 1 SIAM Journal on Mathematical Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Contemporary Mathematics 1 Mathematica Applicanda
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### Fields

 24 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 3 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 339 times in 298 Documents Cited by Year
Dynamics of director fields. Zbl 0761.35063
Hunter, John K.; Saxton, Ralph
1991
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
1986
Dynamic instability of the liquid crystal director. Zbl 0702.35180
Saxton, R. A.
1989
Blow-up of solutions to the generalized inviscid Proudman-Johnson equation. Zbl 1277.35077
Sarria, Alejandro; Saxton, Ralph
2013
The initial-value problem for elastodynamics of incompressible bodies. Zbl 0599.73012
Ebin, David G.; Saxton, Ralph A.
1986
Global existence of some infinite energy solutions for a perfect incompressible fluid. Zbl 1167.35436
Saxton, Ralph; Tiğlay, Feride
2008
Existence of solutions for a finite nonlinearly hyperelastic rod. Zbl 0561.73046
Saxton, R.
1985
Nonlinearity and memory effects in low temperature heat propagation. Zbl 0968.74004
Saxton, K.; Saxton, R.
1999
On second sound at the critical temperature. Zbl 1020.35110
Saxton, K.; Saxton, R.; Kosinski, W.
1999
On the influence of damping in hyperbolic equations with parabolic degeneracy. Zbl 1235.35196
Saxton, Katarzyna; Saxton, Ralph
2012
Phase transitions and change of type in low-temperature heat propagation. Zbl 1116.35100
Saxton, Katarzyna; Saxton, Ralph
2006
The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation. Zbl 1332.35087
Sarria, Alejandro; Saxton, Ralph
2015
Radial solutions to a nonlinear $$p$$-harmonic Dirichlet problem. Zbl 0793.34006
Saxton, Ralph; Wei, Dongming
1993
Blow-up at the boundary of solutions to nonlinear evolution equations. Zbl 0813.35058
Saxton, Ralph
1994
Second sound speed in a crystal of NaF at low temperature. Zbl 0875.73020
Kosiński, W.; Saxton, K.; Saxton, R.
1997
Phase transitions and aspects of heat propagation in low temperature solids. Zbl 1229.80010
Saxton, Katarzyna; Saxton, Ralph
2005
Singularity formation in systems of non-strictly hyperbolic equations. Zbl 0824.35072
Saxton, R.; Vinod, V.
1995
The Cauchy and backward-Cauchy problem for a nonlinearly hyperelastic/viscoelastic infinite rod. Zbl 0542.35018
Saxton, R.
1983
Nonlinear PDE’s, dynamics and continuum physics. 1998 AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, MA, USA, July 10–23, 1998. Zbl 0941.00019
2000
An $$H^1$$ model for inextensible strings. Zbl 06157293
Preston, Stephen C.; Saxton, Ralph
2013
The role of initial curvature in solutions to the generalized inviscid Proudman-Johnson equation. Zbl 1332.35087
Sarria, Alejandro; Saxton, Ralph
2015
Blow-up of solutions to the generalized inviscid Proudman-Johnson equation. Zbl 1277.35077
Sarria, Alejandro; Saxton, Ralph
2013
An $$H^1$$ model for inextensible strings. Zbl 06157293
Preston, Stephen C.; Saxton, Ralph
2013
On the influence of damping in hyperbolic equations with parabolic degeneracy. Zbl 1235.35196
Saxton, Katarzyna; Saxton, Ralph
2012
Global existence of some infinite energy solutions for a perfect incompressible fluid. Zbl 1167.35436
Saxton, Ralph; Tiğlay, Feride
2008
Phase transitions and change of type in low-temperature heat propagation. Zbl 1116.35100
Saxton, Katarzyna; Saxton, Ralph
2006
Phase transitions and aspects of heat propagation in low temperature solids. Zbl 1229.80010
Saxton, Katarzyna; Saxton, Ralph
2005
Nonlinear PDE’s, dynamics and continuum physics. 1998 AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, MA, USA, July 10–23, 1998. Zbl 0941.00019
2000
Nonlinearity and memory effects in low temperature heat propagation. Zbl 0968.74004
Saxton, K.; Saxton, R.
1999
On second sound at the critical temperature. Zbl 1020.35110
Saxton, K.; Saxton, R.; Kosinski, W.
1999
Second sound speed in a crystal of NaF at low temperature. Zbl 0875.73020
Kosiński, W.; Saxton, K.; Saxton, R.
1997
Singularity formation in systems of non-strictly hyperbolic equations. Zbl 0824.35072
Saxton, R.; Vinod, V.
1995
Blow-up at the boundary of solutions to nonlinear evolution equations. Zbl 0813.35058
Saxton, Ralph
1994
Radial solutions to a nonlinear $$p$$-harmonic Dirichlet problem. Zbl 0793.34006
Saxton, Ralph; Wei, Dongming
1993
Dynamics of director fields. Zbl 0761.35063
Hunter, John K.; Saxton, Ralph
1991
Dynamic instability of the liquid crystal director. Zbl 0702.35180
Saxton, R. A.
1989
Solitary-wave interactions in elastic rods. Zbl 0606.73028
Clarkson, Peter A.; LeVeque, Randall J.; Saxton, Ralph
1986
The initial-value problem for elastodynamics of incompressible bodies. Zbl 0599.73012
Ebin, David G.; Saxton, Ralph A.
1986
Existence of solutions for a finite nonlinearly hyperelastic rod. Zbl 0561.73046
Saxton, R.
1985
The Cauchy and backward-Cauchy problem for a nonlinearly hyperelastic/viscoelastic infinite rod. Zbl 0542.35018
Saxton, R.
1983
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### Cited by 358 Authors

 16 Yin, Zhaoyang 12 Lenells, Jonatan 10 Zheng, Yuxi 9 Hu, Yanbo 8 Wunsch, Marcus 7 Fu, Ying 7 Holden, Helge 7 Qu, Changzheng 6 Grunert, Katrin 6 Liu, Yue 6 Sarria, Alejandro 6 Szmigielski, Jacek 6 Zhang, Ping 5 Bauer, Martin 5 Chen, Guowang 5 Saxton, Ralph A. 5 Tiğlay, Feride 4 Bressan, Alberto 4 Misiołek, Gerard 4 Shakhmurov, Veli B. 4 Wei, Xuemei 3 Chang, Xiangke 3 Chen, Geng 3 Ebin, David G. 3 Elgindi, Tarek Mohamed 3 Escher, Joachim 3 He, Bin 3 Hunter, John K. 3 Khesin, Boris A. 3 Li, Fengquan 3 Liu, Jingjing 3 Lv, Guangying 3 Michor, Peter Wolfram 3 Moon, Byungsoo 3 Preston, Stephen C. 3 Prykarpatsky, Anatoliy Karolevych 3 Raynaud, Xavier 3 Shahmurov, Rishad 3 Wang, Guodong 3 Wang, Shubin 3 Wang, Xiaohuan 3 Xie, Yongqin 3 Ye, Weikui 3 Zhang, Weiguo 3 Zhang, Yinghui 2 Arnaudon, Alexis 2 Artemovych, Orest Dem”yanovych 2 Beals, Richard W. 2 Blackmore, Denis L. 2 Casati, Paolo 2 Chen, Aiyong 2 Chen, Qiaoling 2 Chen, Xiangying 2 Chen, Yong 2 Christou, Marios Andreas 2 Clarkson, Peter A. 2 Dafermos, Constantine M. 2 Dai, Hui-Hui 2 Eckhardt, Jonathan 2 Fan, Engui 2 Feng, Zhaosheng 2 Gao, Hongjun 2 Górka, Przemysław 2 Guan, Chunxia 2 Guha, Partha 2 Guo, Yingying 2 Harms, Philipp 2 Holm, Darryl D. 2 Hou, Yu 2 Hu, Xingbiao 2 Huicheng, Yin 2 Huo, Yi 2 Ivanov, Rossen I. 2 Jeong, In-Jee 2 Karlsen, Kenneth Hvistendahl 2 Kim, Sun-Chul 2 Kohlmann, Martin 2 Kushner, Alexei G. 2 Li, Hongmin 2 Li, Jibin 2 Li, Jingyu 2 Li, Min 2 Liu, Hailiang 2 Maor, Cy 2 Meng, Qing 2 Mi, Yongsheng 2 Mu, Chunlai 2 Nordli, Anders 2 Oblak, Blagoje 2 Ortenzi, Giovanni 2 Prykarpatsky, Yarema Anatoliyovych 2 Qiao, Zhijun 2 Reyes, Enrique G. 2 Risebro, Nils Henrik 2 Saccomandi, Giuseppe 2 Sattinger, David H. 2 Saxton, Katarzyna 2 Shen, Chunyu 2 Shen, Yannan 2 Simanca, Santiago R. ...and 258 more Authors
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### Cited in 107 Serials

 19 Journal of Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Nonlinear Mathematical Physics 14 Journal of Mathematical Analysis and Applications 14 Journal of Mathematical Physics 10 Archive for Rational Mechanics and Analysis 8 Nonlinear Analysis. Real World Applications 7 Quarterly of Applied Mathematics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Discrete and Continuous Dynamical Systems 6 Journal of Mathematical Fluid Mechanics 5 Mathematical Methods in the Applied Sciences 5 Wave Motion 5 Advances in Mathematical Physics 4 Applicable Analysis 4 Applied Mathematics and Computation 4 Monatshefte für Mathematik 4 Studies in Applied Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Communications in Partial Differential Equations 4 Journal of Hyperbolic Differential Equations 3 Acta Mechanica 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Letters in Mathematical Physics 3 Nonlinearity 3 Chaos, Solitons and Fractals 3 Journal of Geometry and Physics 3 Advances in Mathematics 3 Journal of Functional Analysis 3 Physica D 3 Journal of Nonlinear Science 3 Calculus of Variations and Partial Differential Equations 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis and Mathematical Physics 2 Theoretical and Mathematical Physics 2 BIT 2 Journal of Computational and Applied Mathematics 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Acta Mathematicae Applicatae Sinica. English Series 2 International Journal of Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Mathematical Problems in Engineering 2 Mathematics and Mechanics of Solids 2 Abstract and Applied Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Applied and Computational Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 AIMS Mathematics 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales Polonici Mathematici 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Differential Geometry and its Applications 1 Applications of Mathematics 1 Journal of Global Optimization 1 Geometric and Functional Analysis. GAFA 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Difference Equations and Applications 1 Electronic Research Announcements of the American Mathematical Society 1 European Journal of Control 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Chaos 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Communications in Computational Physics 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie ...and 7 more Serials
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### Cited in 27 Fields

 263 Partial differential equations (35-XX) 66 Dynamical systems and ergodic theory (37-XX) 45 Fluid mechanics (76-XX) 31 Mechanics of deformable solids (74-XX) 26 Global analysis, analysis on manifolds (58-XX) 20 Numerical analysis (65-XX) 18 Differential geometry (53-XX) 12 Ordinary differential equations (34-XX) 9 Nonassociative rings and algebras (17-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)