Michael Mudi Tom

Ph.D. Pennsylvania State University, August 1990.

Major area of research interest: Analysis of nonlinear partial differential equations of mathematical physics.

Positions Held:

1. Professor, Louisiana State University, August 2004-present.
2. Associate Professor, Louisiana State University, August 1998-2004.
3. Assistant Professor, Louisiana State University, June 1994 --Aug 1998.
4. Lecturer I, University of Jos, Nigeria, March 1992 --May 1994.
5. Assistant Professor, Louisiana State University, June 1991 -- Dec 1991.

Selected Publications:

1. Contemporary Mathematics, 221, Applied Analysis, American Mathematical Society, Edited (with J R. Dorroh, G.R. Goldstein, J. A. Goldstein) Proceedings of a Conference on Applied Analysis, April 19-21, 1996, Baton Rouge, Louisiana
2. Smoothing properties of some weak solutions of the Benjamin-Ono Equation. Differential & Integral Equations, 3, 683--694, (1990).
3. A model system for strong interaction between internal solitary waves (with Jerry L. Bona, Gustavo Ponce, and Jean-Claude Saut). Communications in Mathematical Physics, 143, 287--313, (1992).
4. Existence of global solutions for nonlinear dispersive equations. Nonlinear Analysis: Theory, Methods & Applications, 20, 175--189, (1993).
5. Smoothing of a Class of Fifth Order Model Evolution Equation. Differential & Integral Equations, 9, 45-58 (1996). (Abstract ) ( .dvi file ) ( .ps file )
6. On a Generalized Kodamtsev-Petviashvili Equation. Contemporary Mathematics, American Mathematical Society, Providence, RI (1996), 193-210.
7. Remarks on global solutions of some generalizations of the KP equations. SIAM Proceedings of the Fourth International Conference on Mathematics and Numerical Aspects of Wave Propagation, (1998), 220-224.
8. Regularized Long Wave-KP Models. AMS/IP Studies in Advanced Mathematics. 16, (2000), 393-405.
9. Some Generalizations of the Kadomtsev-Petviashvili equations. Journal of Mathematical Analysis and Applications, 243, 64-84, (2000).
10. The Cauchy problem and stability of solitary-wave solutions for RLW-KP-type equations (with Jerry L. Bona and Yue Liu). Journal of Differential equations, 185, 437-482, (2002).
11. Blow-up and instability of a regularized long wave-KP equation (with Yue Liu). Differential and Integral Equations, 16(9), 1131-1152, (2003).
12. Comparison of KP and BBM-KP models (with Gideon P. Daspan). International Journal of Mathematics and Mathematical Sciences, Volume 2007, Article ID 37274, 20 pages doi:10.1155/2007/37274.

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