Asst.Prof.Dr.Somsak Orankitjaroen

Assistant Professor

Ph.D. (Applied Mathematics and Statistics ), SUNY at Stony Brook, U.S.A.

Office : B 216

Tel : 0-2201-5438

Fax : 0-2201-5343

Email : somsak.ora@mahidol.ac.th

Research Activities

Areas of Expertise

Distribution theory; functional analysis applied to modelling in mechanics

Current Interests and Activities

My recent and current research activities involve the analysis of ordinary differential equations in the framework of distribution theory and the investigation of modelling in mechanics by using mathematical tools from functional analysis in the following areas.

  1. Solution types of ordinary and fractional ODEs; coexistence of different kinds of solutions; integral transforms
  2. Homogenization; reduction of dimensions in the problem of mathematical elasticity.

Recent Publications

  1. Chuchard P., Orankitjaroen S., Wiwatanapataphee B., Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition, Adv Differ Eqn, (2017) 2017:160
  2. Patcharakorn Viriyasrisuwattana, Christian Licht, Somsak Orankitjaroen, Thibaut Weller, Thin hybrid linearly piezoelectric junctions. Comptes Rendus Mécanique, Volume 344, Issue 2, February 2016, Pages 128–135
  3. Daridon L*, Licht C, Orankitjaroen S, Pagano S. Periodic homogenization for Kelvin-Voigt viscoelastic media with a Kelvin-Voigt viscoelastic interphase. Eur J Mech A Solids 2016;163–71.
  4.  Nonlaopon K., Orankitjaroen S. and Kananthai A., 2015, The generalized solutions of a certain n order differential equations with polynomial coefficients, (2015), Integral Transforms and Special Functions, Vol. 26(12), 1015–1024, http://dx.doi.org/10.1080/10652469.2015.1079906
  5. Mongkolsery Lin, Brian Fisher and Somsak Orankitjaroen, 2015, Some Results on the Beta Function and the Incomplete Beta Function, (2015), Asian-European Journal of Mathematics, DOI: 10.1142/S1793557115500485, Vol. 8(3), 1550048 
  6. Christian Licht, Somsak Orankitjaroen, Patcharakorn Viriyasrisuwattana, Thibaut Weller, 2015, Thin linearly piezoelectric junctions, (2015), Comptes Rendus mecanique, doi.org/10.1016/j.crme.2015.01.001
  7. Annop Sonubon. and Somsak Orankitjaroen, A Functional Equation with Conjugate Means Derived from a Weighted Arithmetic Mean, (2015), Malaysian Journal of mathematical Science, 9(1), 21-31
  8. Mongkolsery Lin, Somsak Orankitjaroen, Brian Fisher, 2014, The noncommutative neutrix product of $x_-^{-s}\ln^m x_-$ and $x_+^r$, 1450042(2014), Asian-European Journal of  Mathematics, doi:10.1142/S1793557114500429, Vol 7(3)
  9. Mongkolsery Lin, Brian Fisher, Somsak Orankitjaroen, 2014, On the Incomplete Gamma Function, (2014), International Journal of Applied Mathematics, doi:10.12732/ijam.v27i1.4, Vol 27(1), 31-44
  10. Christian Licht, Somsak Orankitjaroen, Patcharakorn Viriyasrisuwattana, Thibaut Weller, 2014, Bonding a linearly piezoelectric patch on a linearly elastic body, (2014), Comptes Rendus mecanique, doi:10.1016/j.crme.2014.01.
  11. Bellieud, Michel, Licht, Christian, Orankitjaroen, Somsak, 2013, Nonlinear capacitary problems for a general distribution of fibers, (2013), Applied Mathematics Research Express, doi:10.1093/amrx/abt002
  12. Licht Christian, Somsak Orankitjaroen, 2013, Dynamics of elastic bodies connected by a thin soft inelastic layer, Comptes rendus – Mécanique, 341(3), 323–332
  13. C. Licht, A. Legery, S. Orankitjaroen and A. Ould Khaoua, Dynamics of elastic bodies connected by a thin soft viscoelastic layer, Journal de Mathématiques Pures et Appliquées, DOI : 10106/j.matpur.2012.10.005
  14. Wannika Jumpen, Somsak Orankitjaroen, Pichit Boonkrong, Boonmee Wattananon, Benchawan, 2011,Wiwatanapataphee, SEIQR-SIS Epidemic Network Model and Its Stability,  International Journal of Mathematics and Computers in Simulation, 4(5), 326-333
  15. T. Kraiweeradechachai, S. Orankitjaroen, B. Fisher and E. Ozcag, 2010,  Further Results on the Neutrix Composition of the Delta Function, East-West J. of Mathematics, volume 11, Number 2, 151-164
  16. P. Swawangtong, C. Licht, B. Novaprateep and S. Orankitjaroen, 2009, Existence and uniqueness of a blow-up solution for a parabolic problem with a localized nonlinear term via semigroup theory, East-West J. of Mathematics, a special volume 2010, 139-152
  17. N. Sontichai, S. Orankitjaroen, C. Licht, A. Kananthai, A Remark on the Homogenization of a Microfibered Linearly Elastic Material, 2009, East-West J. of Mathematics, a special volume 2010, 153-162
  18. S. Orankitjaroen, N. Sontichai, C. Licht, A. Kananthai, “Mathematical Modeling of Fiber Reinforced Structures by Homogenization”, Thai Journal of Mathematics, Special Volume 2008, 103-115
  19. B. Fisher, S. Orankitjaroen, T. Kraiweeradechachai, G. Sritanratana and K. Nonlaopon, “On the composition of the Distribution x^\lambda_+\ln^m x_+ and x^\mu_+”, East-West J. of Mathematics, Vol. 9, No 1(2007) 69-80
  20. Wannika Jumpen, Somsak Orankitjaroen, Pichit Boonkrong, Boonmee Wattananon, Benchawan, 2011,Wiwatanapataphee, SIS-SEIQR Adaptive Network Model for Pandemic Influenza, Proceeding of the European Computing Conference, 147-151
  21. Mongkolsery Lin, Somsak Orankitjaroen, Gumpon Sritanratana, Tanyong Kraiweeradechachai, 2011, The Distribution Composition $\delta^{(s)}[ln^{p/q}(1+x^{1/r}_+)]$,  STT 37 Proceedings, No A_A0044
  22. Mongkolsery Lin, Somsak Orankitjaroen, Gumpon Sritanratana, Tanyong Kriweeradechachai, On the Composition of the Distribution $\delta^s$ and $(e^x-1)_+$, International Conference in Mathematics and Applications, December 17-19, 2011, Twin Towers Hotel, 88 Rong Muang, Patumwam, Bangkok 10330, Thailand
  23. Nuttawat Sontichai, Somsak Orankitjaroen, Christian Licht, A Sompified 2-D Model for some Elastic masonries, International Conference in Mathematics and Applications, December 17-19, 2011, Twin Towers Hotel, 88 Rong Muang, Patumwam, Bangkok 10330, Thailand
  24. Orankitjaroen, S. Nonclassical shock waves in three-phase flow. Ph.D. Thesis.