Matematik

Doç. Dr. Oğul ESEN
Matematik

Oğul ESEN
Telefon
(262) 605 1386
E-Posta
oesengtu.edu.tr
Ofis
İşletme Binası, Z 42
Çalışma alanları
Diferansiyel Geometri

Papers

2020

  • P. Vagner, M. Pavelka, O Esen (2020), Multiscale thermodynamics of charged mixtures, arXiv:1903.01274
  • O. Esen, S Sütlü (2020), Matched pair analysis of the Vlasov plasma, arXiv:2004.12595.
  • O. Esen, D. Han, T. Şengül, Q. Wang (2020), On the nonlinear stability and the existence of selective decay states of 3D-quasi-geostrophic potential vorticity equation. Math Meth Appl Sci. 43:822–846
  • O. Esen, M. de León, C. Sardón (2020), A Hamilton-Jacobi formalism for higher order implicit Lagrangians, J. Phys. A: Math. Theor. 53 075204
  • J. Śniatycki, O. Esen, (2020). De Donder Form for Second Order Gravity. Journal of Geometric Mechanics 12(1): 85-106.
  • O. Esen, P. Guha (2020) On the quest for generalized Hamiltonian descriptions of 3D-flows generated by curl of a vector potential. International Journal of Geometric Methods in Modern Physics, doi.org/10.1142/S0219887820500425.
  • O. Esen, M. de León, C. Sardón, M. Zajac (2020), Cauchy data space and multisymplectic formulation of conformal classical field theories, arXiv:2002.03913.

2019

  • O. Esen, de León M., Sardón C., M. Zajac (2019), The globalization problem of the Hamilton-DeDonder-Weyl equations on a local k-symplectic framework, arXiv:1911.05962.
  • O. Esen, de León M., Sardón C., M. Zajac (2019), Hamilton-Jacobi Formalism on Locally Conformally Symplectic Manifolds, arXiv:1910.02016.
  • O. Esen, Kudeyt, M., Sütlü, S. (2019). Matched Higher Order Lagrangian Dynamics. arXiv preprint arXiv:1909.10375.
  • O. Esen, Jiménez V. M., de León M., Sardón C., (2019) Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems, Regular and Chaotic Dynamics, vol.24, no. 5, pp.525-559.
  • O. Esen; Grmela, M.; Gümral, H.; Pavelka, M. (2019) Lifts of Symmetric Tensors: Fluids, Plasma, and Grad Hierarchy. Entropy, 21, 907.
  • F. Çağatay Uçgun, O. Esen and H. Gümral (2019) Reductions of Topological Massive Gravity II: First Order Realizations of Second Order Lagrangians, arXiv:1907.12890 (submitted).

2018

  • F. Çağatay Uçgun, O. Esen and H. Gümral (2018) Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians,Journal of Mathematical Physics; Volume 59, Issue 1, 10.1063/1.5021948.
  • O. Esen, Guha, P. (2018). On time-dependent Hamiltonian realizations of planar and nonplanar systems, Journal of Geometry and Physics,10.1016/j.geomphys.2018.01.024
  • O. Esen, M. de León, and C. Sardón (2018), A Hamilton-Jacobi theory for implicit differential systems, Journal of Mathematical Physics 59, 022902,
  • O. Esen, Guha, P. (2018) On the geometry of the Schmidt-Legendre transformation. Journal of Geometric Mechanics, 2018, 10 (3) : 251-291
  • O. Esen, Sütlü, S. (2018). Matched pairs of discrete dynamical systems. arXiv preprint arXiv:1809.00521. (submitted.)

2017

  • O. Esen and S. Sütlü, (2017), Lagrangian Dynamics on Matched Pairs, Journal of Geometry and Physics, Volume 111, Pages 142–157.
  • O. Esen, M. Pavelka, M. Grmela (2017), Hamiltonian coupling of electromagnetic field and matter, Int J Adv Eng Sci Appl Math, DOI 10.1007/s12572-017-0179-4.
  • O.Esen and H. Gümral, (2017), Tulczyjew's Triplet for Lie Groups II: Journal of Lie Theory, Journal of Lie Theory 27, No. 2, 329--356.
  • O. Esen, A. G. Choudhury and P. Guha, (2017) On Integrals, Hamiltonian and Metriplectic Formulations of 3D Polynomial Systems, Theoretical and Applied Mechanics, 44 (1), 15-34.
  • O. Esen, (2017), Dinamik Sistemlerin Eşlenmesi, Sakarya Üni. Fen Bilimleri Enstitüsü dergisi 21 (3), 469-480.

2016

  • O. Esen, A. G. Choudhury, P. Guha, H. Gümral, (2016), Superintegrable Cases of Four-Dimensional Dynamical Systems, Regular and Chaotic Dynamics, Vol 21, Issue 2, pp. 175-188160;
  • M. Pavelka, V. Klika, O. Esen and M. Grmela, (2016), A hierarchy of Poisson brackets in non-equilibrium thermodynamics, Physica D Volume 335, Pages 54–69.
  • O. Esen and S. Sütlü, (2016), Hamiltonian Dynamics on Matched Pairs, International Journal of Geometric Methods in Modern Physics, Int. J. Geom. Methods Mod. Phys. 13, 1650128.
  • O. Esen, A. G. Choudhury and P. Guha, (2016) Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems, International Journal of Bifurcation and Chaos. Volume 26, Issue 13, 1650215.

2015

  • O.Esen and H. Gümral, (2015), Reductions of Dynamics on Second Iterated Bundles of Lie Groups arXiv:1503.06568.

2014

  • O. Esen and H. Gümral, (2014), "Tulczyjew's Triplet for Lie Groups I: Trivializations and Reductions", Journal of Lie Theory, Volume: 24, pp. 1115-1160.

2013

  • O. Esen ve H. Gümral, (2013), Kontakt Parçacıkların Kinetik Denklemleri, XVII. Ulusal Mekanik Kongresi Bildiriler Kitabı, sf. 370-378.

2012

  • O. Esen and H. Gümral, (2012), Geometry of Plasma Dynamics: Lie algebra of Hamiltonian vector fields, Journal of Geometric Mechanics, Volume: 4 Issue: 3, pp. 239-269.;
  • O. Esen and H. Gümral, (2012), Lie Algebra of Hamiltonian Vector Fields and Poisson-Vlasov Equations, arXiv: 1203.1437.

2011

  • O. Esen and H. Gümral, (2011), Lifts, Jets and Reduced dynamics, International Journal of Geometric Methods in Modern Physics, Volume: 8, Issue: 2, pp. 331-344.

2010

  • O. Esen, (2010), Taşınım, Ayrışım ve Momentum Vlasov denklemleri, XVI. Ulusal Mekanik Kongresi Bildiriler Kitabı, sf. 581-590.

Ph.D. Thesis (Completed. 2017) Filiz Çağatay Uçgun, On geometry of degenerate second order Lagrangians. (YU)

  • Doktora: Yeditepe University, 2010
  • Yüksek lisans: Yeditepe University, 2006
  • Lisans: Boğaziçi University, 2002
Projeler:

TUBİTAK 3501: 117F426: Proje yöneticisi ve araştırmacısı: Eşlenmiş Lagrange Ve Hamilton Sistemleri (2018-2021)