shorthairspiderno (1)

Cristina Sardón is a post doctoral student who recently defended her (international mention) doctoral thesis in our Department of Fundamental Physics in the University of Salamanca. Her research is rigorously mathematically well-founded. Her interests are focused on the geometric/algebraic interpretation of nonlinear phenomena and the integrability of differential equations appearing in Physics. In particular, the treatment of evolutionary waves in the realm of Fluid Dynamics, Optics, Solid State, among other scientific disciplines.

Her expertise in these fields has been achieved by supervision of P.G. Estévez, Full Professor of Theoretical Physics of this department and J. de Lucas, associate professor of the University of Warsaw, Poland, who has been her co-adviser. Her international doctorate mention has been awarded due to her multiple research stays abroad at the University of Warsaw in Poland with J. de Lucas or the University of Roma Tre in Rome, Italy.

She is part of the Geometry, Mechanics and Control network of which she is an active member through multiple seminars and editorial duties. Also, she has completed teaching tasks by teaching introductory courses of Differential Equations and Mechanics to undergraduates in their second year of their Grade in Physics at the University of Salamanca.

Currently, she is looking for a post doctoral position and opening new fields of research in the realm of discrete differential equations.

Email: cristinasardon@usal.es

Website: http://cristinasardon.weebly.com/

PUBLICATIONS
Symmetry computation and reduction of a wave model in 2 + 1 dimensions
P.G Estévez, J. D. Lejarreta, C. Sardón
Nonlinear Dyn (2017) 87:13–23 (2017)''

Jacobi–Lie systems: Fundamentals and low-dimensional classification
F.J. Herranz, J. de Lucas and C. Sardón
(2015)''

Lie symmetries for Lie systems: Applications to systems of ODEs and PDEs
P.G. Estévez, F.J. Herranz, J. de Lucas , C. Sardón
Applied Mathematics and Computation 273 - 435–452 (2015)''

Lie systems, lie symmetries and reciprocal transformations
Cristina Sardón Muñoz
(2015)''

Lie–Hamilton systems on the plane: Applications and superposition rules
Alfonso Blasco, Francisco J Herranz, Javier de Lucas and Cristina Sardon
(2015)''

Dirac–Lie systems and Schwarzian equations
J.F. Cariñena, J. Grabowski , J. de Lucas and C. Sardón
(2014)''

Classification of Lie-hamilton systems on the plane.
A. Ballesteros, A. Blasco, J. F. Cariñena, F. J. Herranz, J. de Lucas and C. Sardón
J: of Physics A: Math. and Theor. (2013). (In press) (2013)''

From constant of motion to superposition rules of Lie Hamilton systems
A. Ballesteros, J. F. Cariñena, F. J. Herranz, J. de Lucas and C. Sardón
J. Phys. A: Math. Theor. 46, 285203 (2013)''

Integrable 1+1 dimensional hierarchies arising from reduction of a non-isospectral problem in 2+1 dimensions
P. G. Estévez, J.D. Lejarreta and C. Sardón
Appl. Mathematics. and Computation. 224, 311-324 (2013)''

Iterative symmetry search and reduction of a water wave model in 2 + 1 dimensions
P.G. Estévez , J.D. Lejarreta and C. Sardón
(2013)''

Lie Hamilton systems: theory and applications
J. F. Cariñena, J. de Lucas and C. Sardón
Int. Geom. Methods Mod. Phys.10, 09129823 (2013)''

Miura-reciprocal tansformations for non-isospectral Camassa-Holm hierarchies in 2+1 dimensions
P. G. Estévez, and C. Sardón
Journal of Nonlinear Mathematical Physics 20, (2013). (In press) (2013)''

Miura-Reciprocal transformations for two integrable hierarchies in 1 + 1 dimensions
P.G. Estévez and C. Sardón
(2013)''

On Lie systems and Kummer-Schwarz equations
J. F. Cariñena, J. de Lucas and C. Sardón
J. Math. Phys. 54, 033505 (2013)''

A new Lie systems approach to second-order Riccati equations
J. F. Cariñena, J. de Lucas and C. Sardón
Int. J. Geom. Methods Mod. Phys. 9, 1260007 (2012)''

Non-isospectral 1+1 hierarchies arising from a Camassa-Holm Hierarchy in 2+1 dimensions
P. G. Estévez, J.D. Lejarreta and C. Sardón
Journal of Nonlinear Math. Physics, 18, 9-28 (2011)''