Jann-Long Chern (陳建隆)
I move to:
Department of Mathematics
National Taiwan Normal University
My new website is:
Research interests: My research interests are mainly focusing on Partial Differential
Equations, | ![]() |
Experience(重要經歷) | |
1.
Advisory Committee Member of Ministry of Science and Technology(MOST) (2017~) 2. Chairman of Department of Mathematics, National Central University (2012/08-2015/07) 3. Chairman of Center of Mathematics and Theoretical Physics, National Central University, Taiwan (2012/08-2015/07) 4. Distinguished Professor of National Central University, Taiwan (2010~) 5. Grant Panel Member of Ministry of Science and Technology(MOST) (2012/01-2014/12) 6. Committee and Researching Committee of Chinese Mathematical Society (2012-2015,2016-2018) 7. Center Scientists of National Center for Theoretical Sciences(NCTS), Taiwan(2011/08-2012/07) 8. Program Committee and Execute Committee of NCTS, Taiwan(2011~2012) 9. Equadiff 14, Invited minisymposia organizer and Invited Speaker on "Elliptic Equations and Systems from Gauge Field Theories and Mathematical Physics", Bratislava, Slovakia, July 24-28, 2017 10. Sessions Organizer of "11th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA", 2016 11. The 7th Pacific RIM Conference on Mathematics 2016, Invited speaker on ”Qualitative properties of solutions of nonlinear PDEss”, NSU, Seoul, Korea, June 27 –July 1, 2016. 12. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan. 13. The 7th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics February 27~29, 2016, Organizer. 14. Workshop on recent development in reaction-diffusion equations, February 26, 2016, Organizer and Invited Speakerm NCTS, Taiwan. 15. Sessions Organizer of "10th AIMS Conference on Dynamical System, Differential Equations and Applications, Madrid, Spain", 2014 16. Session Organizer of "9th AIMS Conference on Dynamical System, Differential Equations and Applications, Orlando, Florida, USA", 2012 17. Visiting Professor of NCTS, Taiwan (2007/08~2008/07) 18. Committee of Chinese Mathematical Society(2006~2009) 19. Professor of Central University, Taiwan(2000/08~ ) 20. Visiting Professor of Tokyo University, Japan(2000/01) 21. Visiting Professor of Georgia Institute of Technology, USA(1997/08~1998/07) 22. Associated Professor of Central University, Taiwan (1991/08~2000/07) | |
Awards or Honors received榮譽事蹟 | |
1.Outstanding Research Award of Ministry of Science and Technology, Taiwan (2018/08~2021/07) (科技部107學年度傑出研究獎) 2.2019/01~2021/12 Distinguished Professorship of National Central University,Taiwan(中央大學特聘教授一級) 3.Outstanding Research Award of Ministry of Science and Technology, Taiwan(2012/08~2015/07)(科技部101學年度傑出研究獎) 4.2016/01~2018/12 Distinguished Professorship of National Central University,Taiwan(中央大學特聘教授一級) 5.2013/01~2015/12 Distinguished Professorship of National Central University,Taiwan(中央大學特聘教授一級) 6.2010/01~2012/12 Distinguished Professorship of National Central University,Taiwan(中央大學特聘教授) 7.2011/08-2012/07 Center Scientist of National Center for Theoretical Sciences,Taiwan(科技部理論科學研究中心(NCTS)數學組中心科學家) 8.Award for Publication in Top Journal, College of Science, National Central University, Taiwan (2010~2014). 9.Research Award, National Science Council, Taiwan (1992~2015). | |
TEACHING 教學 | |
2020 NCTS Summer Course: USR Projects:
2020 Fall Courses
2020 Spring Courses
Fall 2019 Courses
Spring 2019 Courses
Fall 2018 Courses
Spring 2018 Courses
Fall 2017 Courses
midterm exam ODEs final exam midterm exam ODEs final exam Spring 2017 Courses
Fall 2016 Courses
Fall 2015 Courses
Spring 2015 Courses
Fall 2014 Courses
Spring 2014 Courses
Fall 2013 CoursesFall 2012 Courses
Spring 2011 CoursesFall 2010 Courses
Spring 2010 Courses
Fall 2009 CoursesSpring 2009 Courses
Fall 2008 Courses
Fall 2006 CoursesSpring 2006 Courses相關教學資料線上討論區 | |
Publications List for Jann-Long Chern | ||
研究成果目錄:論文及著述 A. Publications Journals (Selected) 1. B. Lin , Y. Chen , Y. Hung , C. Chen, H. Wang , Jann-Long Chern*, THE DATA FORECAST IN COVID-19 MODEL WITH APPLICATIONS TO US, SOUTH KOREA, BRAZIL, INDIA, RUSSIA AND ITALY, http://arxiv.org/abs/2011.04738. 2020. 2. Jann-Long Chern* and M. Gualdani, Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions, Mathematical Research Letter, To Appear (SCI) , arXiv:1910.06216. 2020. First and Corresponding Author, MOST 107-2115-M-008-005-MY3. 3. Jann-Long Chern* and E. Yanagida, Qualitative Analysis of Singular Solutions for Nonlinear Elliptic Equations with Potentials, Mathematische Annalen, DOI: 10.1007/s00208-020-02016- 2, Published online 04 June 2020. (SCI) First and Corresponding Author. MOST 107-2115-M-008-005-MY3. 4. Jann-Long Chern, M. Hashizume and G. Hwang (2020). Properties of solutions to semilinear elliptic problem with Hardy potential. Journal of Differential Equations, V. 269, Issue 2, 5 July, 2020, Pages 1432-1464., https://doi.org/10.1016/j.jde.2020.01.009, (SCI) First Author, MOST 107-2115-M-008-005-MY3. 5. Jann-Long Chern*, S. Yang, Z. Chen and C. Chen, On The Family of Non-Topological Solutions for The Elliptic System Arising from A Product Abelian Gauge Field Theory. Discrete & Continuous Dynamical Systems-A, June 2020, 40(6), 3291-3304, doi: 10.3934/dcds.2020127(SCI) First and Corresponding Author. MOST 107-2115-M-008-005-MY3. 6. Jann-Long Chern, C. Chen and G. Hwang:. Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality. Tohoku Mathematical Journal, Vol. 72, No. 4, December, 2020 (SCI), MOST 107-2115-M- 008-005-MY3. First Author. 7. Z.-Y. Chen and Jann-Long Chern* (2019). The Analysis of Solutions for Maxwell-Chern-Simons O(3) Sigma Model. Calculus of Variations and Partial Differential Equation, 58 (2019), No. 4, Art. 147, 27 pp. https://doi.org/10.1007/s00526-019-1590-4. MOST 107-2115-M-008-005-MY3. Corresponding Author. (SCI) 8. Y.An, Jann-Long Chern and J. Shi (2018). Uniqueness of Positive Solution To Some Coupled Cooperative Variational Elliptic Systems. Transactions of the American Mathematical Society, 370 (2018), no. 7, 5209–5243. (SCI) MOST 104-2115-M-008-010-MY3. 9. Jann-Long Chern, Y. Morita and T. Shieh (2018, Jan). Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation. Journal of Differential Equations, 264(2018) 550–574. (SCI) MOST 104-2115-M-008-010-MY3. First Author. 10. Y. Yu, T. Wang, C. Lau, J. Wang; T. Yang, Jann-Long Chern;and C. Sun, Repairing IR depth image with 2D RGB image,Proceedings Volume 10745, Current Developments in Lens Design and Optical Engineering XIX; 1074505 (2018) (SCI) https://doi.org/10.1117/12.2321205. 11. S. Yang, Z. Chen and Jann-Long Chern (2017, Jul). The Solutions Structure of the $O(3)$ sigma model in a Maxwell-Chern-Simons Theory. Journal of Mathematical Physics, Vol.58, Issue 7, 071503 (2017),(SCI) DOI: 10.1063/1.4994060. MOST 104-2115-M-008-010-MY3. Corresponding Author. 12. Jann-Long Chern and E. Yanagida. Singular solutions of the scalar field equation with a critical exponent.. Geometric properties for parabolic and elliptic PDE's, 277–288, Springer Proc. Math. Stat., 176, Springer, [Cham], 2016. (ISBN: 978-3-319-41536-9). Springer International Publishing Switzerland 2016: Springer Chan. Aug, 2016: 277–288 (PROMS, volume 176). First and Corresponding Author. MOST 104-2115-M-008-010-MY3. 13. Jann-Long Chern*, S. Yotsutani, N. Kawano, A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems.. Proceedings of Equadiff, Bratislava, SPEKTRUM STU Publishing. (ISBN: 978‐ 80 227 4757 8). Slovak : SPEKTRUM STU Publishing. Dec, 2017: pp. 283-286. MOST 104-2115-M-008-010-MY3. First and Corresponding Author. 14. Z. Chen and Jann-Long Chern*, Topological Multivortex Solutions for Chern-Simons Model with Two Higgs Particles. Communications in Partial Differential Equations 41 (2016), no. 4, 705– 731. Corresponding Author.(SCI) 15. Jann-Long Chern*, Z. Chen and S. Yang, A Classification of Semilocal Vortices in a Chern-Simons Theory. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 2, 575–595. First and Corresponding Author. (SCI) 16. Z. Chen and Jann-Long Chern*, Uniqueness of Topological Multivortex Solutions in the Maxwell-Chern-Simons Model. Journal of Functional Analysis, 270 (2016), no. 6, pp. 2073-2125 (53 Pages). Corresponding Author. (SCI) 17. Jann-long Chern* and S. Yang, Uniqueness of topological vortex in a self-dual Maxwell-Chern-Simons-Higgs system. Indiana University Mathematics Journal, 64, No. 6 (2015), 1747–1766. First and Corresponding Author. (SCI) 18. Jann-Long Chern* and S. Yang, A survey of solutions in a gravitational Born-Infeld theory. Journal of Mathematical Physics, 55 (2014), no. 3, 031501, 24 pp. First and Corresponding Author. (SCI) 19. Jann-Long Chern* and S. Yang, The Non-topological Fluxes of a Two-particle System in the Chern-Simons Theory . Journal of Differential Equations 256 (2014), no. 10, 3417–3439. First and Corresponding Author. (SCI) 20. Y. Wu,Z. Chen, Jann-Long Chern and Y. Kabeya, Existence and Uniqueness of Singular Solutions for Elliptic Equation on the Hyperbolic Space. Communications on Pure and Applied Analysis, 13 (2014), no. 2, 949–960. Corresponding Author.(SCI) 21. Jann-Long Chern* and S. Yang, Evaluating solutions on an elliptic problem in a gravitational gauge field theory. Journal of Functional Analysis, 265 (2013), no. 7, 1240–1263. First and Corresponding Author. (SCI) 22. Jann-Long Chern*, Y. Tang, C. Chyan and Y. Chen, On the Uniqueness of Singular Solutions for a Hardy-Sobolev Equation. Discrete and Continuous Dynamical Systems, 2013, Dynamical systems, differential equations and applications. 9th AIMS Conference. Suppl., 123–128. First and Corresponding Author. 23. Jann-Long Chern*, Z. Chen and Y. Tang, Structure of Solutions to a Singular Liouville System Arising from Modeling Dissipative stationary Plasmas. Discrete and Continuous Dynamical System -A, 33 (6), 2013, 2299-2318. First and Corresponding Author. (SCI) 24. Jann-Long Chern, Z. Chen* and Y. Tang, On the Solutions to a Liouville-type System Involving Singularity. Calculus of Variations and Partial Differential Equation, 43 (2012), 53-81. First Author. (SCI) 25. Jann-Long Chern*, Z. Chen and Y. Tang, Uniqueness of Finite Total Curvatures and Structure of Radial Solutions for Nonlinear Elliptic Equations. Transactions of the American Mathematical Society, 363 (2011), 3211-3231. First and Corresponding Author. (SCI) 26. Jann-Long Chern, C.-S. Lin, J. Shi and Y. Tang*, Existence, uniqueness and stability of positive solution to sublinear elliptic systems. Proceedings of the Royal Society of Edinburgh Section A 141 (2011), no. 1, 45-64, First and Corresponding Author. (SCI) 27. Jann-Long Chern*, Z. Chen, J. Shi and Y. Tang, On the Uniqueness and Structure of Solutions to a Coupled Elliptic System, Journal of Differential Equations, 249 (2010), 3419-3442. First and Corresponding Author. (SCI). 28. Z. Chen, Jann-Long Chern and Y. Tang*, Erratum to " ;On the Classification of Standing Wave Solutions for the Schrodinger Equation" ;, Vol. 35, 275-301. Communications in Partial Differential Equations, 35 (2010),P.1920-P.1921. (SCI). 29. Jann-Long Chern and C.-S. Lin, Minimizers of Caffarelli-Kohn-Nirenberg inequalities with singularity on the boundary, Archive for Rational Mechanics and Analysis, 197 (2010), 401-432. First Author. (SCI). 30. Jann-Long Chern*, C.-S. Lin and Z. Chen, Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles. Communications in Mathematical Physics, Vol.296 (2010),P.323-P.351.First and Corresponding Author. (SCI). 31. Jann-Long Chern*, Z. Chen, J. Chen and Y. Tang, On the Classification of Standing Wave Solutions for the Schrodinger Equation, Communications in Partial Differential Equations, 35 (2010), no. 2, 275–301. First and Corresponding Author.(SCI) 32. Jann-Long Chern*, Z. Chen and Y. Tang, Uniqueness and structure of Solutions to the Derichlet Problem for an Elliptic System, Journal of Differential Equations 246 (2009), 3704-3714. (SCI) 33. Jann-Long Chern, Z. Chen and Y. Tang, The Structure of Radial Solutions for Elliptic Equations from the Spherical Onsager Vortex, Tohoku of Mathematical Journal 61 (2009), 287-307. First and Corresponding Author. (SCI) 34. Jann-Long Chern* and E. Yanagida, Structure of Set of Regular and Singular Radial Solutions for a Semilinear Elliptic Equation, Journal of Differential Equations 224 (2006), Issue 2, 440- 463. First and Corresponding Author. (SCI) 35. Jann-Long Chern* & S. Yang, On the applications from the divergence-type identity in punctured domain, Recent advances in elliptic and parabolic problems, W. Sci. Pub., Hac. NJ, 2005, 35- 39. First and Corresponding Author. 36. Jann-Long Chern* & S. Yang, A divergence-type identity in punctured domain and its application to singular polyharmonic problem, Journal of Dynamics and Differential Equations 16 (2004), No. 3, 587-604. First and Corresponding Author. (SCI) 37. Jann-Long Chern & C. Lin, The Symmetry of Least-Energy Solutions for Semilinear Elliptic Equations, Journal of Differential Equations 187(2003), No. 2, 240-268. First Author. (SCI) 38. Jann-Long Chern and D. Luca, Smoothness and Periodicity of Some Matrix Decompositions, SIAM J. Matrix Anal. Appl. 22 (2000), no. 3, 772–792. First Author. (SCI) 39. Jann-Long Chern*, On the Blow-Up and Positive Entire Solutions of Semilinear Elliptic Equations, P. Edinburgh Math. Society (2000) 43, 625-631. First and Corresponding Author. (SCI) 40. Jann-Long Chern* and Y. Tang, On the Semilinear Elliptic Equations $\triangle u+{\beta\over{(1+|x|)^\mu}u^p-{\gamma\over{(1+|x|)^\nu}u^q=0$ in $R^n$, Journal Math. Anal. Appl. 244, 27- 38 (2000). First and Corresponding Author. (SCI) 41. Jann-Long Chern* and S. Huang, The Asymptotic Stability of Some Integrodifferential Equations, Bull. K. Math. Soc. 37 (2000), No. 2, pp. 273-283. First and Corresponding Author. (SCI) 42. Jann-Long Chern* and S.-Z. Huang, The Global Stability in Delay Equation Models of Hamematopoiesis, P. Natl. Sci. Counc. A: Phys. Sci. Engin. Vol. 24, No 4 (2000) pp. 293-300. First and Corresponding Author. 43. Jann-Long Chern* and D. Luca, Smooth and periodicity of some matrix decompositions, Center for Dynamical System & Nonlinear Studies, GA Tech, Report CDSNS 99324. (1999) First and Corresponding Author. 44. Jann-Long Chern*, On the Solution Structures of the Semilinear Elliptic equations on R n , Nonlinear Anal. TM & A, 28.(1997), pp.1741-1750. First and Corresponding Author. (SCI) 45. Jann-Long Chern*, Existence ans Asymptotic Behavior of Singular Solutions of Quasilinear Elliptic Equations in R n, Taiwanese Journal of Math., 1(1997), pp.195-207. First and Corresponding Author. (SCI) 46. Jann-Long Chern* and S.Yang, The Limit Sets of Dynamical Systems on Spheres, Nonlinear Anal. TM & A, 26 (1996), pp.1565-1572. First and Corresponding Author. (SCI) 47. Jann-Long Chern, W. Lian and C. Yeh, Oscillation criteria for 2nd order half-linear differential equations with functional arguments, Publicat. Math., 48(1996), pp.209-216. First Author. (SCI) 48. Jann-Long Chern*, Positive Radial Solutions for △μ+lxl m K(x)u p = 0 in R n, P. N.-P. A: Phys.Sci. and Engin., 17 (1993), pp.449-459. First and Corresponding Author. 49. Jann-Long Chern* and K. Cheng, Conformal Metrices with Prescribed Curture on S n , Journal of Differential Equations, 106 (1993), pp.155-185. First and Corresponding Author. (SCI) 50. Jann-Long Chern* and K. Cheng, Existence of Positive Entire Solutions of Some Semilinear Elliptic Equations, Journal of Differential Equations, 98 (1992), pp.169-181. First and Corresponding Author. (SCI) B. Awards or Honors received
C. Funded Research Projects
D. 指導碩博士畢業學生 (a) 畢業博士生:陳志有博士受聘於國立彰化師範大學專任助理教授、唐永立博士受聘於逢甲大學專任助理教授、楊世光博士受聘於科技部助理研究學者(3 Years)、吳彥霖博士受聘於『財團法人保險事業發展中心專員』、陳志和博士受聘於復旦高中。 (b) 指導的博士後 Dr. Gyeongha Huang 受聘於 Yeungnam University, Korea 的專任助理教授 (b) 畢業碩士生:王統新受聘於台北市立建國中學專任教師、連瑜君受聘高雄女中專任教師、鍾逸偉受聘於基隆女中專任教師、黃淑珠受聘陸軍專科學校講師等等。E. Academic Services and Organizer of International Conferences (Selected)
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