USC Aerospace & Mechanical Engineering: Paul K. Newton

  Contact Us : USC Home : USC Viterbi School Of Engineering  
 Location: Home > Personnel > Newton
 Paul K. Newton

Address:

University of Southern California
Department of Aerospace and Mechanical Engineering
Los Angeles, California 90089-1191


Office:
RRB 221
Tel. (213) 740-7782
Fax. (213) 740-7774
email:
newton@spock.usc.edu
website:
http://ame-www.usc.edu/bio/newton

Academic rank: Professor

Education:

1985 Ph.D., Applied Mathematics, Brown University
1981 B.Sc., Applied Mathematics/Physics, Harvard University

USC Academic Positions:

1998-: Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics
1993-1998: Associate Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics

Other Professional Positions:

1992-1993: Associate Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois
1987-1992: Assistant Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois
1989: Visiting Assistant Professor, Division of Applied Mathematics, Brown University
1985-1987: Postdoctoral Fellow, Department of Mathematics, Stanford University

Research Interests:

Theoretical fluid mechanics, nonlinear dynamical systems, waves and stability

Selected Publications:

P.K. Newton, G. Chamoun, "Construction of point vortex equilibria via Brownian ratchets," Proc. Roy. Soc. A 463, 1525-1540, 2007.
P.K. Newton and B. Cooley, "Eigenvalue distributions from impacts on a ring," Regular and Chaotic Dynamics, 12(1), 12-26, 2007.
P.K. Newton, "N-vortex equilibrium theory," Discrete and Continuous Dynamical Systems A, Special Volume on Applications of Analysis and Variational Methods, C.C. Lim, M. Otani, J. Shi, eds. (in press).
M.I. Jamaloodeen and P.K. Newton, "The two-layer quasi-geostrophic potential vorticity model," J. Mathematical Physics, Special Issue on Mathematical Fluid Dynamics, 2007.
P.K. Newton and T. Sakajo, " The N-vortex problem on a rotating sphere. III. Ring configurations coupled to a background field," Proc. Roy. Soc. A 463, 961-977, 2007.
P.K. Newton and S.D. Ross, "Chaotic advection for the restricted four-vortex problem on a sphere," Physica D 223(1), 36-53, 2006.
P.K. Newton and K. Aslam, "Monte Carlo Tennis," SIAM Review 48(4), 722-742, 2006.
M.I. Jamaloodeen and P.K. Newton, "The N-vortex problem on a rotating sphere. II. Heterogeneous equilibria," Proc. Roy. Soc. A 462, 3277-3299, 2006.
P.K. Newton and H. Shokraneh, "The N-vortex problem on a rotating sphere. I. Multi-frequency states," Proc. Roy. Soc. A 462, 149-169, 2006.
P.K. Newton, M. Ruith and E. Upchurch, "The constrained planar N-vortex problem: I. Integrability," Discrete and Continuous Dyn. Sys. B 5(1), 137-152, 2005.
More publications...

Professional Societies:

American Physical Society (APS)
Society for Industrial and Applied Mathematics (SIAM)
American Mathematical Society (AMS)

Honors and Awards:

1993-1994: Beckman Institute Research Fellow Award
1993: Oakely-Kund Teaching Award (University Finalist)
1981-1982: Brown University Fellowship
1978-1981: Harvard University Scholarship for Academic Achievement

Courses Taught:

AME 525, 526: Engineering Analysis I, II
AME 530 a,b: Dynamics of Incompressible Fluids
AME 511: Compressible Gas Dynamics
AME 626: Singular Perturbation Methods
AME 630: Transition to Chaos in Dynamical Systems

Recent Professional Development Activities:

Editorial Board: Journal of Nonlinear Science
Editorial Board: Texts in Applied Mathematics, Springer-Verlag
Advisory Board: Strategic Analytics, Santa Fe, New Mexico

back to top Back to top

© 2004-2008 The University of Southern California,
Department of Aerospace and Mechanical Engineering, Olin Hall of Engineering 430, Los Angeles, California 90089-1453
ame@usc.edu