Yung-fu Fang        (方永富)

Associate Professor

Tainan, 701  Taiwan

 

E-mail:  yffang@mail.ncku.edu.tw

Office:  MATH 210 

Office phone:  (06) 275-7575  ext  65131 

Curriculum vitae:  cv.pdf


Research interests:

  • Nonlinear waves and stability
  • Nonlinear partial differential equations
  • Harmonic Analysis
  • Research Summary and Proposal

Teaching:

Fall 2018:

Course: (Undergraduate) Vector Analysis, Mon 16:10~17:00, Thu 13:10~15:00, Syllabus

 

Course: (Under+Graduate) PDE, Introduction, Mon 13:10~15:00, Wed 15:10~16:00, Syllabus

 

Course: (Graduate) PDE Seminar, Thu  17:10~19:00, Syllabus

 

Office Hours: Mon. 12:10~13:00 and Thu. 12:10~13:00.

 

Spring 2019:

Course: (Under+Graduate) Fourier Analysis and Applications, Tue 10:10~12:00, Thu 09:10~10:00, Syllabus

 

Course: (Graduate) PDE Seminar, Thu  17:10~19:00, Syllabus

 

Office Hours: Tue. 12:10~13:00 and Thu. 12:10~13:00.

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Invited Talks:

 

1, Talk-2014-02-18-15th NSMA-Hokkaido Univ-1D Quantum Zakharov

 

2, Talk-2014-06-07-DE Workshop-NCTU-1D Quantum Zakharov

 

3, Talk-2014-12-20-ICNA-Sinica-1D Quantum Zakharov

 

4, Talk-2016-01-23-24DE Workshop-NSYSU-Adiabatic Limit for Quantum Zakharov

 

5, Talk-2016-07-15-Osaka University-Well-posedness and Adiabatic Limit for Quantum Zakharov

 

6, Talk-2016-09-22-NTU-Well-posedness and Adiabatic Limit for Quantum Zakharov

 

7, Talk-2017-01-04-DE Workshop-CCU-Well-posedness and Semi-Classical Limit for Quantum Zakharov

 

8, Talk-2017-01-07-25th DE Workshop-NCTU-On the Quantum Zakharov System

 

9, Talk-2017-01-14-70th Anniversary of Math-NTU-On the QZ System-Langmuir_wave

 

10, Talk-2017-03-02-NCU-On the QZ System

 

11, Talk-2017-03-13-Osaka University-On the QZ System

 

12, Talk-2017-10-13-Osaka University-Semi-classical Limit of the QZ System

 

13, Talk-2017-10-20-Kyoto University-Stability of Standing Waves of the Quantum Zakharov System

 

14, Talk-2017-10-26-Kyoto University-On the Quantum Zakharov System and the Zakharov system-Iso

 

15, Talk-2017-11-16-Tohoku University-Local Ill-Posedness Problem for the Quantum Zakharov System in 1D

 

16, Talk-2018-01-25-Monash University-On the Quantum Zakharov System and the Zakharov system

 


Organized Conferences:

 

01, 2001-9th DE Workshop at NCKU

02, 2009 DE Workshop at NCKU

03, 2011-19th DE Workshop at NCKU

04, 2013 DE Workshop at NCKU

05, 2016-7th Taiwan-Japan Joint Workshop for Young Scholars in Applied Math. at NCKU

06, 2016 Workshop on Dispersion, Kinetic, Inverse problem at NCKU

07, 2017-8th Taiwan-Japan Joint Workshop for Young Scholars in Applied Math. at Hiroshima

08, 2017-12-Workshop on Dispersion, Kinetic, Inverse problem at NCKU

09, 2018-9th Taiwan-Japan Joint Workshop for Young Scholars in Applied Math. at NCKU

10, 2018-06-Dispersion PDE Workshop at NCKU

11, 2019-01-Au-It-Tw Trilateral Meeting at NCKU

12, 2019-27th DE Workshop at NCKU

13, 2019-10th Japan-Taiwan Joint Workshop for Young Scholars in Applied Math. at Ryukoku Univ


Papers available  online :

Dissertation: Local Existence for Semilinear Wave Equation and Applications to Yang-Mills Equation, (directed by Prof. M.  Grillakis).

1. "On the Existence of Positive Solutions of a  Semi-linear Elliptic Equation in R^n ", Chinese J. Math. 18 (1990), 353-364. (joint work with C.C. Chang)

 

2. "Remarks on the Existence of Positive Solutions of Semi-linear Elliptic Equations in R^n", Chinese J. Math. 20 (1992), 69-77. (joint work with C.C. Chang)

 

3. "Existence and Uniqueness for Boussinesq Type Equations on a Circle, (joint work with M.  Grillakis) Comm. PDE 21 (1996) 1253-1277.

 

4. "A priori Estimates for the Wave Equations in 2+1 dimensions", 1996 (joint work with M.  Grillakis) Comm. PDE 21 (1996) 1643-1665.

 
6. "On the Dirac-Klein-Gordon Equations in One Space Dimension", Differential and Integral Equations 17 (2004) 1321-1346.

 
7. "Low Regularity Solutions for Dirac-Klein-Gordon Equations in One Space Dimension", Electronic J. Diff. Equations Vol 2004 (2004) No.102, 1-19.

 
8. "Existence and Polynomial Growth of Periodic Solutions for KdV-Type Equations",  Hokkaido Math. J. 34 (2005)  629-654

 
9. "On a System of Dirac-Klein-Gordon Type in 1+1 Dimensions", Taiwanese J. Math. 9 (2005) 489-499 (joint work with T.S. Chen)

 
10. "Local Existence for Semilinear Wave Equations and Applications to Yang-Mills Equations", J. Hyperbolic Differential Equations,2 (2005) 61-76.

 
11. "On the Dirac-Klein-Gordon Equations in Three Space Dimensions",  Comm. PDE 30 (2005) 783-812 (joint work with Grillakis).

 
12. "On the Global Existence of Rough Solutions of the Cubic Defocusing Schrӧdinge Equation in R^{2+1}",  J. Hyperbolic Differential Equations, 4 (2006) 233-257.        (Joint work with  Grillakis)

 
13. "A Critical Case on the Dirac-Klein-Gordon Equations in 1+1 Dimensions", Taiwanese J. Math. 12 (2008)
1045-1059. (joint work with  Shiu-Chuan Hwang)

 

14. "On a Bilinear Estimate of Schrӧdinger Waves", RIMS Kokyuroku Bessatsu B26: Harmonic Analysis and Nonlinear PDE, May, 2011 p1-14.

 

15. "The Fourth Order Nonlinear Schrödinger limit for Quantum Zakharov System", Z. Angew. Math. Phys. 67 (2016) 145-1-27. (joint work with Chi-Kun Lin and Jun-ichi Segata)

 

16. "Low Regularity Global Well-Posedness for the Quantum Zakharov System in 1D", Taiwanese Journ. Math., 21 (2017) 341-361. (joint work with Tsai-Jung Chen & Kuan-Hsiang Wang)

 

17. "Local Well-Posedness for the Quantum Zakharov System in 1D", J. Hyperbolic D. E., 14 (2017) 157–192. (joint work with Hsi-Wei Shih & Kuan-Hsiang Wang)

 

18. "On the standing waves of quantum Zakharov system", J. Math. Anal. Appl. 458 (2018), no. 2, 1427–1448. (joint work with Jun-ichi Segata and Tsung-Fang Wu)

 

19. "Global well-posedness and scattering for the quantum Zakharov system in L2", (joint work with Kenji Nakanishi) Proceedings AMS, Series B, 6 (2019), 21-32.

 

20. "Semi-Classical Limit for Quantum Zakharov System" (joint work with Hung-Wen Guo & Hsi-Wei Shih & Kuan-Hsiang Wang), Taiwanese Journ. Math. 23 (2019), 925-949

 

21. Local Well-Posedness for the Quantum Zakharov System” (joint work with Kuan-Hsiang Wang) (in submission).

22. "Local ill-posedness of the quantum Zakharov system in 1D" (joint work with Hsi-Wei Shih & Kuan-Hsiang Wang) (in submission).

23. “Nonrelativistic Limit for the Nonlinear Dirac Equation in 1D, 2D, and 3D” (joint work with Kow-Shih)(in preparation).

24. "On the Global Well-Posedness for the Quantum Zakharov System with data in H^s × H^σ" (joint work with Jun-ichi Segata) (in preparation).

25. "Small Energy Scattering of the Quantum Zakharov System in 3D" (joint work with Zihua Guo) (in preparation).

26. "Global dynamics of quantum NLS" (joint work with Masaki-Nakanishi)(in preparation).

27. "Scattering from a Moving Surface and the Monopole Potential" (joint work with M. Grillakis) (in preparation).


方永富已畢業研究生名單

 

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