Hongqiu Chen

Assistant Professor
Department of Mathematical Sciences
The University of Memphis
371 Dunn Hall
Memphis, TN 38152

Phone: (901) 678-3141
Office: 371 Dunn Hall
Email: hchen1@memphis.edu

Education

B.S. in applied mathematics, Chengdu University of Sciences and Technology, P.R. China (1983)

M.A. in mathematics, Institute of Systems Science, Academia Sinica, Beijing, P.R. China (1988)

Ph.D. in mathematics, The University of Texas at Austin, USA (1998).

My research interests:

Nonlinear Partial Differential Equations, Pseudo-differential Equations, Fluid Mechanics, Mathematical Modeling,.

Numerical Analysis

Curriculum Vitae (CV.pdf, CV.ps)

Publications

Books (authored, edited)

[1] Nonlinear Wave Phenomena (with J.L. Bona) (90 pages preprint) (book.ps).

Refereed journal publications

[2] The Rationality of the Discrete-Ordinates Method in Computing the Critical Criterion for the Thickness of a Slab Geometry Reactor,

(in Chinese), Journal of Systems Science and Mathematical Sciences Vol. 8 (1988) pp. 107-112.

[3] The Rationality of the Discrete-Ordinates Method for the Time-Dependent Neutron Transport Equations (in Chinese), Journal of Systems

Science and Mathematical Sciences Vol. 8 (1988) pp.190-192 (with G.Tian).

[4] Approximate Theory of the Discrete-Ordinate and Multiple-Group Method for Solving Time-Dependent Neutron Transport Equations,

(in Chinese), Acta Mathematica Scientia Vol. 9 (1989) pp. 7-20 (with X. Jin).

[5] Existence and Asymptotic Properties of Solitary-Wave Solutions of Benjamin-type Equations, Advances in Differential Equations Vol. 3

(1998) pp. 51-84 (with J.L. Bona).

[6] Ph.D. Thesis “Solitary Waves and other Long-wave Phenomena", The University of Texas at Austin, 1998.

[7] Comparison of Model Equations for Small-amplitude Long Waves, Nonlinear Analysis TMA Vol. 38 (1999) pp.625-647 (with J.L Bona).

[8] Travelling-Waves for the Generalized KdV-Burger's Equations, Contemporary MathematuicsVol.255 (2000) pp.1-23.

[9] Solitary Waves in Nonlinear Dispersive Systems, Discrete and Continuous Dynamical Systems-Series B, Vol.2 (3) (2002) pp. 313-378

with J.L. Bona).

[10] Local and global well-posedness results for generalized BBM-type equations, Evolution Equations: Proceeding in Honor of J.A. Goldstein's

60th Birthday (ed. G.R. Goldstein, R. Nagel, S. Romanelli) Marcel Dekker: New York (2003) pp. 35-55 (with J.L. Bona).

[11] Existence of periodic travelling-wave solutions of nonlinear, dispersive wave equations, Nonlinearity, Vol. 17 (2004) no. 6, pp. 2041-2056

(cnoidal.pdf).

[12] Periodic Initial-Value Problem for BBM-Equation, Computers and Mathematics with Applications,

Vol. 48 (ed. G. Anastassiou) (2004) no. 9, pp. 1305-1318.

[13] Comparison of Quarter-Plane and Two-Point Boundary Value Problems: The BBM-equation, Discrete and Continuous Dynamical Systems,
Vol. 13 (4), (2005) pp. 921-940 (with J. Bona, S.M. Sun and B.-Y. Zhang) (bcsz-paper.pdf).

[14] Long-period limit of nonlinear dispersive waves: the BBM-equation (accepted for publication by The Journal of Differential and Integral

Equations) (bbmrl.pdf).

Manuscripts in Progress/Preparation

[17] Comparison of Quarter-Plane and Two-Point Boundary Value Problems: the KdV-equation.

[18] Boussinesq-type system of equations posed on bounded domains and their limits as the boundary recedes

to infinity.

[19] Well-posedness of KdV-type equations in periodic media.