Partial Differential Equations Group

Group Members

Photo of Yuri Antipov

Yuri Antipov
PhD Moscow State University (Russia)
Research interest: Integral and functional equations of continuum mechanics
Email: yantipov@lsu.edu
Personal Home Page of Yuri Antipov

Photo of Aynur Bulut

Aynur Bulut
PhD University of Texas, Austin
Email: aynurbulut@lsu.edu
Personal Home Page of Aynur Bulut

Photo of Phuc Cong Nguyen

Phuc Cong Nguyen
PhD University of Missouri
Research interest: Partial differential equations, harmonic analysis, nonlinear potential theory
Email: pcnguyen@math.lsu.edu
Personal Home Page of Phuc Cong Nguyen

Photo of Robert Lipton

Robert Lipton
PhD Courant Institute of Mathematical Sciences
Research interest: Mathematical materials science, partial differential equations
Email: lipton@lsu.edu
Personal Home Page of Robert Lipton

Michael Novack
PhD Indiana University
Research interest: Calculus of variations, geometric measure theory, partial differential equations
Email: mnovack@lsu.edu
Personal Home Page of Michael Novack

Photo of Stephen P. Shipman

Stephen P. Shipman
PhD University of Arizona
Research interest: Spectral theory of differential and integral operators, linear and nonlinear waves, metamaterials
Email: shipman@math.lsu.edu
Personal Home Page of Stephen P. Shipman

Photo of Padmanabhan (Padma) Sundar

Padmanabhan (Padma) Sundar
PhD Purdue University
Research interest: Probability, stochastic analysis
Email: sundar@math.lsu.edu
Personal Home Page of Padmanabhan (Padma) Sundar

Photo of Li-yeng Sung

Li-yeng Sung
PhD State University of New York at Stony Brook
Research interest: Partial differential equations, inverse scattering, numerical analysis
Email: sung@math.lsu.edu
Personal Home Page of Li-yeng Sung

Photo of Andrei Tarfulea

Andrei Tarfulea
PhD Princeton University
Research interest: Partial differential equations, fluid mechanics, mathematical physics
Email: tarfulea@lsu.edu
Personal Home Page of Andrei Tarfulea

Photo of Michael M. Tom

Michael M. Tom
PhD Pennsylvania State University
Research interest: Partial differential equations
Email: tom@math.lsu.edu
Personal Home Page of Michael M. Tom

Photo of Jiuyi Zhu

Jiuyi Zhu
PhD Wayne State University
Research interest: Partial differential equations, harmonic analysis, geometric analysis
Email: zhu@math.lsu.edu
Personal Home Page of Jiuyi Zhu

Selected publications

  1. Michael Tom with Gideon Daspan, Comparison of the KP and the BBM-KP models, to be submitted
  2. Michael Tom, On a generalized KP model
  3. Yue Liu and Michael Tom, Blow-up and instability of a regularized long-wave-KP equation, Differential and Integral Equations, vol 16(9), (2003), 1131-1152
  4. J. L. Bona, Y. Liu and M. M. Tom, The Cauchy problem and stability of solitary-wave solutions for the RLW-KP equations, J. Diff. Eq. 185, (2002), 437-482
  5. Michael Tom, Some generalizations of the Kadomtsev-Petviashvili equation, J. Math. Anal. Appl., 243, (2000), 64-84