Workshop in Mathematical Physics

April 20-21, 2006

The workshop in Mathematical Physics aims at bringing together the researchers in mathematical physics in order to understand the state of the art in mathematical physics and discuss promising research directions in

   •  Conservation Laws, Kinetic Equations, Nonlinear PDE's, Variational Principles
   •  Riemann Boundary-Value Problems and Singular Integral Equations
   •  Applications in Hydrodynamics, Theory of Elasticity, Fiber Optics,
      Magnetohydrodynamics (MHD), Contact Problems in Mechanics

Organizers:

 

Pavel Dubovski  and  Michael Zabarankin
Department of Mathematical Sciences, Stevens Institute of Technology

Date:

 

April 20-21, 2006

Place:

 

Fielding Conference Room, 3d floor, Howe Center, Stevens Institute of Technology, Hoboken, New Jersey, 07030 (across from Manhattan)

The campus map and driving directions

Website:

 

http://personal.stevens.edu/~pdubovsk/mathphysics.html

E-mail:

 

pdubovsk@stevens.edu

Program:

 

Thursday, April 20      Friday, April 21         Abstracts

 



Program: Thursday, April 20, 2006, Howe Center, 3-rd floor, Fieldings room

9:00 – 9:40 Jacek Polewczak, Univ. California-Northridge
Recent results in inert and reacting kinetic theories of dense fluids
9:40 – 10:20 Joel Rogers, Brooklyn Poly
Formulation of some free boundary problems in multicomponent mixtures as conservation laws with constraint
10:20 – 10:40 Coffee break

10:40 – 11:20 Maxim Zyskin, Univ. of Bristol, UK
Nematic liquid crystals in polyhedral domains
11:20 – 12:00 Becca Thomases, Courant Institute, NYU
Local energy decay for solutions of isotropic symmetric hyperbolic systems and applications to nonlinear elasticity
12:00 – 13:00 Lunch

13:00 – 13:40 Yi Li, Stevens Tech
Nonlinear dispersive approximation to the water wave problem
13:40 – 14:20 Yuri Antipov, Baton Rouge
Second-order difference equations with periodic coefficients in diffraction theory
14:20 – 14:40 Coffee break

14:40 – 15:20 Michael Zabarankin, Stevens Tech
Generalized analytic functions in hydrodynamics of axially symmetric Stokes flows
15:20 – 16:00 Guillaume Bal, Columbia Univ.
Kinetic and diffusive models for waves in random media
16:00 – 16:15 Coffee break

16:15 – 16:45 Gabriel Koch, Univ. of Minnesota
Liouville theorem for 2D Navier-Stokes equations
16:45 – 17:15 Chiu-Ya Lan, National Sun Yet-sen Univ, Taiwan
The Green’s function for the Broadwell model in a half space problem
17:15 – 17:45 Pangyen Weng, Ramapo College, NJ
On the identification of two Sobolev spaces in Fluid Mechanics
18:00 – 20:30 Dinner


Program: Friday, April 21, 2006, Howe Center, 3-rd floor, Fieldings room

9:00 – 9:40 Sandra Hayes, Technische Universitat Munchen, Germany
Chaotic dynamical systems
9:40 – 10:20 Marco Lenci, Stevens Tech
Classical delocalization vs. quantum localization for non-compact
cusped billiards
10:20 – 10:40 Coffee break

10:40 – 11:20 Li Guo, Rutgers University, Newark
Algebraic methods in renormalization of perturbative QFT
11:20 – 12:00 Alexei Rybkin, Univ. of Alaska-Fairbanks
Schrodinger operators with singular potentials: Lieb-Thirring bounds and preservation of a.c. spectrum
12:00 – 13:00 Lunch

13:00 – 13:40 Michael Kiessling, Rutgers Univ., New Brunswick
Microscopic foundations of Vlasov theory
13:40 – 14:10 Pavel Dubovski, Stevens Tech
A new model in the coagulation kinetics
14:10 – 14:40
Takayuki Yamauchi, Lincoln Univ., PA
On the regularity of a minimizer of an energy functional over a class of continuous rearrangements

 

Last modified: April 10, 2006

Stevens Inst of Technology