Professor
Tainan
E-mail:
yffang@mail.ncku.edu.tw
Office:
MATH
210
Office
phone: (06)
275-7575 ext
65131
Curriculum
vitae: cv.pdf
Fall
2020:
Course: (Undergraduate) PDE, Introduction,
Mon 13:10~15:00, Wed 15:10~16:00, Syllabus
Course: (Graduate) PDE, Wed 09:10~10:00, Fri 10:10~12:00,
Syllabus
Course: (Graduate) PDE Seminar, Wed 17:10~20:00, Syllabus
Office Hours: Mon. 12:10~13:00 and Wed. 12:10~13:00.
Spring
2021:
Sabbatical
Office
Hours: Tue. 12:10~13:00 and Wed. 12:10~13:00.
---------------------------------------
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 QZ System in 1D
16,
Talk-2018-01-25-Monash University-On the Quantum Zakharov
System and the Zakharov system
17,
Talk-2019-07-Kyoto-On WellPosedness Scattering Semi Classical
Limit for Quantum Zakharov System
18,
Talk-2020-04-23-NCKU-On_the_QZ_and_Z
19,
Talk-2020-09-10-NCKU-On_the_QZ_and_Z
20,
Talk-2021-02-22-NKNU-On_the_QZ_and_Z
21,
Talk-2021-04-12-NCCU-On_the_QZ_and_Z
Organized Conferences:
01,
2001-9th DE Workshop at NCKU
03,
2011-19th
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
14,
2021-11th
Japan-Taiwan Joint Workshop for Young Scholars in Applied Math. On-line Meeting
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.
5.
"A Direct Proof
of Global Existence for the Dirac-Klein-Gordon Equations in One Space Dimension",
Taiwanese J. Math. 8 (2004) 33-41.
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",
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. H. D. E., 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¡V192. (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¡V1448. (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),
Comm. Math. Sci. 18 (2020), no. 5, 1383-1411.
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 ¡Ñ H^£m"
(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).
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