Profile (CV) of the research teaching staff

Vilariño Fernández, Silvia
Department: Departamento de Matemática Aplicada
Field: Matemática Aplicada
Faculty: Escuela de Ingeniería y Arquitectura

Research Institute: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)
Group: E48_23R: Análisis y física matemática

UNESCO codes
  • Geometría diferencial

Number of 6-year periods of research productivity evaluation
  • ACPUA research productivity evaluation periods. 23/05/17
  • ACPUA. 23/05/17
  • ACPUA research productivity evaluation periods. 25/04/12
  • ACPUA. 25/04/12
Academic position: Profesor Interino
ORCID number: 0000-0003-0404-1427

Research interests
  • Geometría simpléctica: geometría de contacto
  • Geometría diferencial global
  • Geometría diferencial clásica
  • Fisica mp -- fisica matematica
  • Fundamentos matematicos de la teoria de campos
 
       

Journal articles

  • de Lucas, Javier; Rivas, Xavier; Vilariño, Silvia; Zawora, Bartosz M. On k-polycosymplectic Marsden–Weinstein reductions. JOURNAL OF GEOMETRY AND PHYSICS. 2023. DOI: 10.1016/j.geomphys.2023.104899

  • de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia. Reduction and reconstruction of multisymplectic Lie systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2022. DOI: 10.1088/1751-8121/ac78ab

  • Gracia, X; de Lucas, J; Munoz-Lecanda, M.C; Vilarino, S. Multisymplectic structures and invariant tensors for Lie systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2019. DOI: 10.1088/1751-8121/ab15f2

  • de Léon, M.; Prieto-Martinez, P.D.; Ro¿an-Roy, N.; Vilariño, S. Hamilton-Jacobi theory in multisymplectic classical field theories. JOURNAL OF MATHEMATICAL PHYSICS. 2017. DOI: 10.1063/1.5004260

  • de Lucas, Javier; Tobolski, Mariusz;Vilariño Fernández, Silvia. Geometry of Riccati equations over normed division algebras. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2016. DOI: 10.1016/j.jmaa.2016.03.031

  • Búa, L.;Bucataru, I.;León, M. D.;Salgado, M.;Vilariño, S. Symmetries in Lagrangian Field Theory. REPORTS ON MATHEMATICAL PHYSICS. 2015. DOI: 10.1016/S0034-4877(15)30010-0

  • de Lucas, J.; Tobolski, M.; Vilariño, S. A new application of k-symplectic Lie systems. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2015. DOI: 10.1142/S0219887815500711

  • Marrero, Juan Carlos.; Romay-Roy, Narciso; Salgado, Modesto; Vilariño Fernández, Silvia. Reduction of polysymplectic manifolds. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2015. DOI: 10.1088/1751-8113/48/5/055206

  • de Lucas,J.; Vilariño,S. K-Symplectic Lie systems: Theory and applications. JOURNAL OF DIFFERENTIAL EQUATIONS. 2015. DOI: 10.1016/j.jde.2014.12.005

  • de León, M.; Vilariño, S. Hamilton-Jacobi theory in k-cosymplectic field theories. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2014. DOI: 10.1142/S0219887814500078

  • de León, M.; Vilariño, S. Lagrangian submanifolds in k-symplectic settings. MONATSHEFTE FUR MATHEMATIK. 2013. DOI: 10.1007/s00605-012-0415-8

  • Román-Roy, N.; Salgado, M.; Vilariño, S. Higher-order Noether symmetries in k-Symplectic Hamiltonian field theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2013. DOI: 10.1142/S021988781360013X

  • Rey, A.M.; Román-Roy, N.; Salgado, M.; Vilariño, S. K-cosymplectic classical field theories: Tulckzyjew and Skinner-Rusk formulations. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. 2012. DOI: 10.1007/s11040-012-9104-z

  • Marrero, J.C.; Román-Roy, N.; Salgado, M.; Vilariño, S. On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory. JOURNAL OF MATHEMATICAL PHYSICS. 2011. DOI: 10.1063/1.3545969

  • Román-Roy, N.; Salgado, M.; Vilariño, S. SOPDES and nonlinear connections. PUBLICATIONES MATHEMATICAE-DEBRECEN. 2011. DOI: 10.5486/PMD.2011.4631

  • Rey, A.M.; Román-Roy, N.; Salgado, M.; Vilariño, S. On the k-symplectic, k-cosymplectic and multisymplectic formalism of classical field theories. JOURNAL OF GEOMETRIC MECHANICS. 2011. DOI: 10.3934/jgm.2011.3.113

  • Martín de Diego, D.; Vilariño, S. Reduced Classical Field Theories. K-cosymplectic formalism on Lie algebroids. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2010. DOI: 10.1088/1751-8113/43/32/325204

  • de León, M.; Martín de Diego, D.;Marrero, J.C.; Salgado, M.; Vilariño, S. Hamilton-Jacobi theory in k-symplectic field theories. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2010. DOI: 10.1142/S0219887810004919

  • Muñoz-Lecanda, M.; Salgado, M.; Vilariño, S. K-symplectic and k-cosymplectic Lagrangian field theories: some interesting examples and applications. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2010. DOI: 10.1142/S0219887810004506

  • de León, M.; Martín de Diego, D.; Salgado, M.; Vilariño, S. k-symplectic formalism on Lie algebroids. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2009. DOI: 10.1088/1751-8113/42/38/385209

  • de León, M.; Martín de Diego, D.; Salgado, M.; Vilariño, S. Nonholonomic constraints in k-symplectic formalism of field theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2008. DOI: 10.1142/S0219887808003077

  • Román Roy, N.; Salgado, M.; Vilariño, S. Symmetries and conservation laws in the Günther k-symplectic formalism of field theory. REVIEWS IN MATHEMATICAL PHYSICS. 2007. DOI: 10.1142/S0129055X07003188

  • Muñoz Lecanda, M.; Salgado, M.; Vilariño, S. Nonstandard connections in k-cosymplectic field theory. JOURNAL OF MATHEMATICAL PHYSICS. 2005. DOI: 10.1063/1.2146191

Books

  • Nuevas aportaciones al estudio de los formalismos k-simpléctico y k-cosimpléctico (edición electrónica). Vilariño Fernández, S. 2009

  • Nuevas aportaciones al estudio de los formalismos k-simpléctico y k-cosimpléctico. Vilariño Fernández, S. 2009

Scientific chapters

  • Usos prácticos de la Investigación Operativa en las Fuerzas Armadas y su implementación en el aula para una enseñanza innovadora. Dena Arto, Ángeles; García Martín, Rafael; González-Cela Echeverría, Gerardo; Iranzo Sanz, José Ángel; Jover Galtier, Jorge Alberto; Lozano Rojo, Álvaro; Navarro Palacio, Elvira; Ortiz Sánchez, Irene; Vilariño Fernández, Silvia; Villacampa Gutiérrez, Raquel; Viñado Lereu, Francisco. INNOVACIÓN DOCENTE EN LA ENSEÑANZA MILITAR. 2023

  • Symmetries, Noether's Theorem and reduction in k-cosymplectic field theories. Marrero, J:C:; Román-Roy, N.;Salgado, M.; Vilariño, S. XVIII INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS (AIP CONFERENCE PROCEEDINGS: MATHEMATICAL AND STATISTICAL PHSYICS). 2010

  • Lie-algebroid formulation of k-cosymplectic field theories. Román-Roy, N.; Salgado, M.; Vilariño, S. GEOMETRY AND PHYSICS: XVII INTERNATIONAL FALL WORKSHOP. 2009

  • Symmetries in k-symplectic field theories. Román-Roy, N.; Salgado, M.; Vilariño, S. GEOMETRY AND PHYSICS: XVI INTERNATIONAL FALL WORKSHOP. 2008



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