Scientific CV
updated on 2009-9-19
16:29:37
Personal Information:
Name:
Zhi-Qiang
Shao
Position: Professor
Affiliation: College of Mathematics and Computer Science,
Fuzhou University,
Fuzhou 350002,
P. R. China
Phone: +86-0591-83852790
E-mail: [email protected]
updated on 2009-9-19
16:29:37
Education:
July 1991: Ph. D. in Mathematics, Fudan University, China;
July 1981: B. S. in Mathematics, Zhejiang Normal
updated on 2009-9-19
16:29:33
Academic Positions:
07/2009 – current:
Fuzhou University,
Full Professor,
College of Mathematics and Computer Science,
China;
07/2002 - 06/2009: Associate Professor,
Fuzhou University,
University, China.
College of Mathematics and Computer Science,
China;
07/1994 - 06/2002: Assistant Professor, College of Mathematics and Computer Science,
Fuzhou University,
China;
07/1991 - 06/1994: Teaching assistant, College of Mathematics and Computer Science,
Fuzhou University,
China.
updated on 2009-9-19
16:29:08
Visiting Professor:
2008:
Department of Mathematical Sciences,
Melbourne,
2007:
Florida Institute of Technology,
USA
Center of Mathematical Science,
Research Interests:
Zhejiang University, Hangzhou,
China
updated on 2009-9-19
16:28:54
1.
Nonlinear partial differential equations
2.
Mathematical Analysis
3. Numerical Analysis
4. Computational Mathematics, Numerical methods.
updated on 2009-9-19
16:11:28
Research Grants:
2009- 2011: Natural Science Foundation of Fujian Province of China,
(Grant No. 2009J01006)
Mathematical Analysis & Nonlinear PDE in Semiconductor Design
Principal Investigator,
30, 000
RMB
2007- 2009: Natural Science Foundation of Fujian Province Education Department of
China, (Grant No. JB07021)
Mathematical Analysis
on SHE Model & QHD Model for Semiconductors
Principal Investigator,
8, 000
RMB
2004- 2007: The Science and Technology Developmental Foundation of Fuzhou University,
(Grant
No. 2004-XQ-16)
Study on
Global
Existence of
Discontinuous Solutions of Nonlinear
Partial Differential Equations
Principal Investigator,
2001- 2003:
25, 000
RMB
Scientific Education Basis Fund of Fujian Province of China,
"Teaching Mathematical Methods of Physics (for graduate students)" ,
Fuzhou University,
China.
Principal Investigator,
5, 000
RMB
2000- 2002: Natural Science Foundation of Fujian Province Education Department of
China, (Grant No. JB00078)
Nonlinear PDE in Applied Mathematics
2004- 2006:
Principal Investigator,
5, 000
National Natural Science
Foundation of China, (Grant
Theoretical
Study
on
RMB
Estimation
Methods
for
No. 70371025)
Semi-parametric
Simultaneous Equation Models in Econometrics
Investigator, (PI: Prof Azhong Ye), 140, 000 RMB
2002- 2005: The Scientific Research Foundation of the Ministry of Education of China
(Grant No. 02JA790014)
Theoretical Study on Non-parametric Econometric Model
Investigator, (PI: Prof Azhong
Ye), 30, 000 RMB
updated on 2009-9-19
16:29:37
Academic Honors/Awards/Recognition:
2006: Outstanding University Teachers
Science,
Award,
College of Mathematics and
Computer
Fuzhou University
2001: Outstanding
University Teachers
Award
of Fuzhou University,
Fuzhou
Fuzhou University,
Fuzhou
University
2000-2001:
Distinguished
Teaching
Award
of
University
1999-2000:
Distinguished Teaching Award
1998-1999:
Outstanding
Computer Science,
Invited Talks :
of Fuzhou University, Fuzhou University
University Teachers
Award,
College of Mathematics and
Fuzhou University
updated on 2009-9-19
16:29:33
1. Presented a forty-five (45) minute invited talk at the Fifth World Congress of Nonlinear
Analysts (WCNA-2008), Orlando, Florida, USA, July 2 - 9, 2008.
2. Presented a thirty (30) minute invited talk
at the Fourth International Congress of
Chinese Mathematicians (ICCM 2007) , Hangzhou, China, Dec. 17-22, 2007.
Publications:
(1) Zhi-Qiang
updated on 2009-9-19
16:29:08
Shao, Global weakly discontinuous solutions to the mixed initial-boundary
value problem for quasilinear hyperbolic systems, Mathematical Models and Methods in
Applied Sciences, 19(7)
(2) Zhi-Qiang
Shao,
(2009) ,
pp. 1099-1138. (SCI,
EI)
The mixed initial-boundary value problem for quasilinear
hyperbolic systems with linearly degenerate characteristics, Nonlinear Analysis Series
A: Theory, Methods & Applications, 71 (2009) , pp. 1350-1368. (SCI,
(3) Zhi-Qiang
Shao,
EI)
Global existence of classical solutions to the mixed initial-boundary
value problem for quasilinear hyperbolic systems of diagonal form with large BV data,
Journal of Mathematical Analysis and Applications, 360 (2009), pp. 398-411,
doi:10.1016/j.jmaa.2009.06.066. (SCI)
(4) Zhi-Qiang
Shao,
Asymptotic behavior
of global classical solutions to the mixed
initial-boundary value problem for quasilinear hyperbolic systems with small BV Data,
Journal of Elasticity,
(SCI,
98 (2010),
pp. 25-64,
doi: 10.1007/s10659-009-9216-2.
EI)
(5) Zhi-Qiang
Shao,
Global structure stability of Riemann solutions for general
hyperbolic systems of conservation laws in the presence of a boundary, Nonlinear
Analysis Series A: Theory, Methods & Applications,
69 (2008) ,
pp.
2651-2676.
(SCI：357MA)
(6)Zhi-Qiang
Shao,
Blow-up of solutions to the initial –boundary value problem for
quasilinear hyperbolic systems of conservation laws, Nonlinear
Theory, Methods & Applications,
68
(2008),
pp. 716-740.
Analysis Series A:
(SCI：266MI,
EI：
075010971793)
(7) Zhi-Qiang
Shao, Global weakly discontinuous solutions for hyperbolic conservation
laws in the presence of a boundary,
Journal of Mathematical analysis and applications,
345 (2008), pp. 223-242. (SCI：319HB)
(8) Zhi-Qiang
Shao, Shock reflection for a system of hyperbolic balance laws,
Journal of
Mathematical analysis and applications, 343 (2008), pp. 1131-1153. (SCI：303LG)
(9) Zhi-Qiang
Shao, Global solutions with shock waves to the generalized Riemann
problem for a class of quasilinear hyperbolic systems of balance laws II, Mathematische
Nachrichten, 281(2008), pp. 879–902. (SCI：314LV)
(10) Zhi-Qiang
Shao, Ya-Chun Li and De-Xing Kong,
Global weakly discontinuous
solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind
of non-smooth initial data, Zeitschrift für Angewandte Mathematik und
(2008),
Physik,
59
pp. 935-968. (SCI, EI).
(11) Zhi-Qiang
Shao,
De-Xing Kong
and Ya-Chun Li,
Corrigendum to “Shock
reflection for general quasilinear hyperbolic systems of conservation laws” [Nonlinear
Anal. 66 (2007) 93-124], Nonlinear
Analysis
Series A: Theory, Methods &
Applications, 69 (2008), pp. 2330-2331, (SCI, EI).
(12) Zhi-Qiang
Shao, Global structure instability of Riemann solutions for general
quasilinear hyperbolic systems of conservation laws in the presence of a boundary,
Journal of Mathematical analysis and applications,
175LT).
330 （2007）, pp. 511-540. ( SCI：
(13)
Zhi-Qiang
Shao,
Global solution to the generalized Riemann problem in the
presence of a boundary and contact discontinuities,
pp. 277-310. (SCI：179GI,
(14) Zhi-Qiang
Journal of Elasticity,
87 (2007),
EI：072610668737)
Shao, De-Xing Kong
and Ya-Chun Li,
quasilinear hyperbolic systems of conservation laws,
Shock reflection for general
Nonlinear Analysis Series A:
Theory, Methods & Applications, 66 (2007), pp. 93-124. (SCI ： 111IO,
EI ：
064510229740).
(15) Zhi-Qiang
Shao,
De-Xing Kong
and Ya-Chun Li,
Global solutions with shock
waves to the generalized Riemann problem for a system of hyperbolic conservation laws
with linear damping, Journal of Mathematical analysis and applications, 325 (2007),
pp. 843-865. (SCI：115JM)
(16) Ta-Tsien Li, Zhi-Qiang
Shao and De-Xing Kong,
Global existence of classical
solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous
quasilinear
hyperbolic system,
325 (2007),
(17) Zhi-Qiang
Journal of Mathematical analysis and applications,
pp. 205-225. (SCI：109UU)
Shao and
Jiaxing Hong,
The eigenvalue problem for the Laplacian
equations, Acta Mathematica Scientia, 27B(2) (2007), pp. 329-337. (SCI：164OO).
(18) Zhi-Qiang
Shao,
De-Xing Kong
and Ya-Chun Li,
Global solutions with shock
waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems
of balance laws,
Nonlinear
Analysis
Series A: Theory, Methods & Applications, 64
(2006), pp. 2575-2603. (SCI：039IN,
(19) Zhi-Qiang
Shao
and
Shuxing
EI ：06129775801)
Chen, The mixed problem for a class of
nonlinearsymmetric hyperbolic systems with discontinuous data, Acta Mathematica
Scientia, 25B(4) (2005),
(20) Zhi-Qiang
pp. 610-620. (SCI：981AC)
Shao, Global classical solutions
for a class of quasilinear hyperbolic
systems of balance laws, in: Progress in Nonlinear Analysis Research,
E. T. Hoffmann ed.,
(21)
Zhi-Qiang
Nova Science Publishers,
Shao,
pp. 285-308,
Hauppauge, NY, 2008
Initial boundary value problem for
semilinear
wave
equations with discontinuous data, Ann. of Differential Equations, Vol. 20,
No. 1
(2004), pp. 70-76.
(22) Zhi-Qiang
Shao,
The Cauchy
problem for
two-dimensional semilinear
wave
equations with discontinuous data, (Chinese) J. Fuzhou Univ. Nat. Sci. Ed., Vol.
32, No. 4
(23) Zhi-Qiang
(2004),
pp. 396-400.
Shao, Piecewise smooth solutions of
semilinear
(Chinese) J. Fuzhou Univ. Nat. Sci. Ed. , Vol. 31, No. 1
(24)
Zhi-Qiang
Shao, The Cauchy problem for semilinear
with discontinuous data, (Chinese)
J. Fuzhou Univ. Nat.
wave
(2003),
equations,
pp. 6-8.
hyperbolic equations
Sci. Ed. ,
Vol. 30, No.
3 (2002), pp.
(25) Zhi-Qiang
261-265.
Shao,
An estimate of the gap of the first two eigenvalues of the
Laplacian operator, (Chinese)
(2002),
(26) Zhi-Qiang
pp.
J. Fuzhou Univ.
Nat.
Sci. Ed. ,
Vol. 30,
No. 2
153-157.
Shao,
Initial boundary value problem
for a class of semilinear
symmetric hyperbolic systems with discontinuous data, (Chinese) J. Fuzhou Univ.
Nat. Sci.
(27) Zhi-Qiang
Ed.,
Vol.
29, No. 5
Shao,
(28) Zhi-Qiang
Ed.,
Shao,
pp. 5-9.
Initial boundary value problem for
symmetric hyperbolic systems
Univ. Nat. Sci.
(2001),
with discontinuous data, (Chinese)
Vol. 28, No. 1
(2000),
Fuzhou
Reflection of discontinuous progressing waves for semilinear
Vol. 33, No. 6 (1994),
Shao,
J.
pp. 1-6.
two-speed symmetric hyperbolic systems, (Chinese)
(29) Zhi-Qiang
semilinear two-speed
J. Fudan Univ. Nat. Sci.,
pp. 625-633.
The Cauchy problem
for
semilinear symmetric hyperbolic
systems with constant multiple characteristics about discontinuous data,
(Chinese)
J. Fudan Univ. Nat. Sci., Vol. 31 , No. 1 (1992) , pp. 91-103.
MR2553179 Shao, Zhi-Qiang Global weakly discontinuous solutions to the
mixed initial-boundary value problem for quasilinear hyperbolic systems. Math.
Models Methods Appl. Sci. 19 (2009), no. 7, 1099--1038. 35L60
PDF Doc Del Clipboard Journal Article
MR2527552 Shao, Zhi-Qiang The mixed initial-boundary value problem for
quasilinear hyperbolic systems with linearly degenerate characteristics.
Nonlinear Anal. 71 (2009), no. 3-4, 1350--1368. 35L60 (35L50)
PDF Doc Del Clipboard Journal Article
MR2508292 Shao, Zhi-Qiang Global classical solutions for a class of
quasilinear hyperbolic systems of balance laws. Progress in nonlinear analysis
research, 285--308, Nova Sci. Publ., New York, 2009. 35L60 (35L45 76A02)
PDF Doc Del Clipboard Journal Article
MR2457219 Shao, Zhi-Qiang; Li, Ya-Chun; Kong, De-Xing Global weakly
discontinuous solutions to quasilinear hyperbolic systems of conservation laws
with damping with a kind of non-smooth initial data. Z. Angew. Math. Phys. 59
(2008), no. 6, 935--968. (Reviewer: Kayyunnapara Thomas Joseph) 35L65
(35L45 35L60 35L67)
PDF Doc Del Clipboard Journal Article
MR2446360 Shao, Zhi-Qiang Global structure stability of Riemann solutions
for general hyperbolic systems of conservation laws in the presence of a
boundary. Nonlinear Anal. 69 (2008), no. 8, 2651--2676. 35L65 (35B35 76L05)
PDF Doc Del Clipboard Journal Article
MR2437630 Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun Corrigendum to:
``Shock reflection for general quasilinear hyperbolic systems of conservation
laws'' [Nonlinear Anal. 66 (2007), no. 1, 93--124; MR2271639]. Nonlinear
Anal. 69 (2008), no. 7, 2330--2331. 35L65 (35L67)
PDF Doc Del Clipboard Journal Article
MR2422647 (2009k:35187) Shao, Zhi-Qiang Global weakly discontinuous
solutions for hyperbolic conservation laws in the presence of a boundary. J.
Math. Anal. Appl. 345 (2008), no. 1, 223--242. (Reviewer: Kaouther Ammar)
35L65 (35L45)
PDF Doc Del Clipboard Journal Article
MR2418852 (2009h:35256) Shao, Zhi-Qiang Global solutions with shock
waves to the generalized Riemann problem for a class of quasilinear hyperbolic
systems of balance laws. II. Math. Nachr. 281 (2008), no. 6, 879--902. 35L60
PDF Doc Del Clipboard Journal Article
MR2417130 (2009c:35283) Shao, Zhi-Qiang Shock reflection for a system of
hyperbolic balance laws. J. Math. Anal. Appl. 343 (2008), no. 2, 1131--1153.
(Reviewer: Harumi Hattori) 35L60 (35L67)
PDF Doc Del Clipboard Journal Article
MR2382292 (2009c:35296) Shao, Zhi-Qiang Blow-up of solutions to the
initial-boundary value problem for quasilinear hyperbolic systems of
conservation laws. Nonlinear Anal. 68 (2008), no. 4, 716--740. 35L65 (35B40
90B20)
PDF Doc Del Clipboard Journal Article
MR2333976
(2008i:35161)
Shao, Zhi-Qiang
Global solution
to the
generalized Riemann problem in the presence of a boundary and contact
discontinuities. J. Elasticity 87 (2007), no. 2-3, 277--310. (Reviewer: Ramon G.
Plaza) 35L65 (35C05 35Q75)
PDF Doc Del Clipboard Journal Article
MR2313232 Shao, Zhiqiang; Hong, Jiaxing The eigenvalue problem for the
Laplacian equations. Acta Math. Sci. Ser. B Engl. Ed. 27 (2007), no. 2,
329--337. 35P30 (35J25 35P15)
PDF Doc Del Clipboard Journal Article
MR2302939 (2008a:35191) Shao, Zhi-Qiang Global structure instability of
Riemann solutions for general quasilinear hyperbolic systems of conservation
laws in the presence of a boundary. J. Math. Anal. Appl. 330 (2007), no. 1,
511--540. (Reviewer: Andrea Marson) 35L65 (35B40)
PDF Doc Del Clipboard Journal Article
MR2270055 (2007i:35164) Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
Global solutions with shock waves to the generalized Riemann problem for a
system of hyperbolic conservation laws with linear damping. J. Math. Anal. Appl.
325 (2007), no. 2, 843--865. (Reviewer: Yue-Jun Peng) 35L65 (35L67 35Q53)
PDF Doc Del Clipboard Journal Article
MR2273039 (2007f:35180) Li, Ta-Tsien; Shao, Zhi-Qiang; Kong, De-Xing
Global existence of classical solutions to the Cauchy problem on a
semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system.
J. Math. Anal. Appl. 325 (2007), no. 1, 205--225. 35L60 (35L45)
PDF Doc Del Clipboard Journal Article
MR2271639 (2008d:35128) Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
Shock reflection for general quasilinear hyperbolic systems of conservation
laws. Nonlinear Anal. 66 (2007), no. 1, 93--124. (Reviewer: Jörg M. Härterich)
35L65 (35L67)
PDF Doc Del Clipboard Journal Article
MR2215829 (2006m:35227) Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
Global solutions with shock waves to the generalized Riemann problem for a
class of quasilinear hyperbolic systems of balance laws. Nonlinear Anal. 64
(2006), no. 11, 2575--2603. 35L60 (35L67)
PDF Doc Del Clipboard Journal Article
MR2175926 (2006e:35232) Shao, Zhiqiang; Chen, Shuxing The mixed
problem for a class of nonlinear symmetric hyperbolic systems with
discontinuous data. Acta Math. Sci. Ser. B Engl. Ed. 25 (2005), no. 4, 610--620.
35L70 (35L20)
PDF Doc Del Clipboard Journal Article
MR2096689 Shao, Zhi Qiang Initial value problems for semilinear wave
equations with discontinuous data in two space dimensions. (Chinese) J. Fuzhou
Univ. Nat. Sci. Ed. 32 (2004), no. 4, 397--400. 35L70 (35L15)
PDF Doc Del Clipboard Journal Article
MR2055011 (2005e:35167) Shao, Zhiqiang Initial boundary value problems
for semilinear wave equations with discontinuous data. Ann. Differential
Equations 20 (2004), no. 1, 70--76. (Reviewer: Jiequan Li) 35L70 (35A27
35L20 35R05 76N10)
PDF Doc Del Clipboard Journal Article
MR1968849 Shao, Zhi Qiang Piecewise smooth solutions of a semilinear wave
equation. (Chinese) J. Fuzhou Univ. Nat. Sci. Ed. 31 (2003), no. 1, 6--8. 35L70
(35L20)
PDF Doc Del Clipboard Journal Article
MR1915961 (2003e:35205) Shao, Zhi Qiang Initial value problems for
semilinear hyperbolic equations with discontinuous data. (Chinese) J. Fuzhou
Univ. Nat. Sci. Ed. 30 (2002), no. 3, 261--265. 35L70 (35B45 35L15)
PDF Doc Del Clipboard Journal Article
MR1903651 Shao, Zhi Qiang An estimate of the gap between the first two
eigenvalues of the Laplacian. (Chinese) J. Fuzhou Univ. Nat. Sci. Ed. 30 (2002),
no. 2, 153--157, 179. 35P15 (35J05)
PDF Doc Del Clipboard Journal Article
MR1871963 Shao, Zhi Qiang Initial-boundary value problems for a class of
semilinear symmetric hyperbolic systems with discontinuous data. (Chinese) J.
Fuzhou Univ. Nat. Sci. Ed. 29 (2001), no. 5, 5--9. 35L60 (35L50 35R05)
PDF Doc Del Clipboard Journal Article
MR1757159 (2001b:35196) Shao, Zhi Qiang Initial-boundary value
problems for a semilinear two-speed symmetric hyperbolic system with
discontinuous data. (Chinese) J. Fuzhou Univ. Nat. Sci. Ed. 28 (2000), no. 1,
1--6. 35L45
PDF Doc Del Clipboard Journal Article
MR1341019 (96f:35102) Shao, Zhi Qiang Reflection of discontinuous
progressing waves for systems of semilinear two-speed symmetric hyperbolic
equations. (Chinese) J. Fudan Univ. Natur. Sci. 33 (1994), no. 6, 625--633.
(Reviewer: Tie Hu Qin) 35L60
PDF Doc Del Clipboard Journal Article