Adam's Home Page

Ph.D. from the University of Utah, Department of Mathematics, August 1995.

Research interests:

Nonlinear sciences

Employment history:

1995-1996 IMA, University of Minnesota, postdoctoral associate

1996-1998 Department of Mathematics, Brigham Young University, postdoctoral associate

1998-1999 Department of Mathematics and Statistics, Utah State University, visiting assistant professor

1999-2000 Department of Mathematics, Brigham Young University, postdoctoral associate

11/2000-11/2002 Department of Mathematics, Heriot-Watt University, EU Marie Curie Postdoctoral Fellow

01/2003-05/2003 Department of Mathematics and Statistics, Memorial University of Newfoundland, visiting postdoctoral associate

01/2004-08/2004 Department of Mathematics, Michigan State University, visiting assistant professor

10/2005-09/2009 Division of Integral Equations, Faculty of Mathematics and Information Science, Warsaw University of Technology, assistant professor

Education:

1988-91 Undergraduate, Faculty of Mathematics, Informatics and Mechanics, Warsaw University

1991-95 Graduate, Department of Mathematics, University of Utah

E-mail: chmaj at math dot utah dot edu

Publications:
Traveling waves in multicomponent reaction-diffusion systems: existence, uniqueness and stability, Ph.D. Thesis, University of Utah, August 1995.

Homoclinic solutions of an integral equation: existence and stability (with X. Ren), Journal of Differential Equations, 155 (1999), 17-43. This paper was accepted for publication in the Transactions of the AMS.

An integrodifferential model for phase transitions: stationary solutions in higher space dimensions (with P.W. Bates), Journal of Statistical Physics, 95 (1999), 1119-1139.

A discrete convolution model for phase transitions (with P.W. Bates), Archive for Rational Mechanics and Analysis, 150 (1999), 281-305.

Multiple layered solutions of the nonlocal bistable equation (with X. Ren), Physica D, 147 (2000), 135-154.

Pattern formation in the nonlocal bistable equation (with X. Ren), Methods and Applications of Analysis, 8 (2001), 369-386.

The nonlocal bistable equation: stationary solutions on a bounded interval (with X. Ren), Electronic Journal of Differential Equations, 2002(2002), No.2, 1-12.

Traveling waves of bistable dynamics on a lattice (with P.W. Bates and Xinfu Chen), SIAM Journal on Mathematical Analysis, 35 (2003), 520-546.

Equilibria and traveling waves for bistable equations with non-local and discrete dissipation (with P.W. Bates and Xinfu Chen), Kyoto Univ., Research Institute for Mathematical Sciences, No. 1178 (2000), 48-71.

Uniqueness of travelling waves for nonlocal monostable equations (with J. Carr), Proceedings of the AMS, 132 (2004), 2433-2439.

Soliton-stripe patterns of a functional with an attractive-repulsive-attractive interaction (with X. Ren), Journal of Dynamics and Differential Equations, 16 (2004), 463-476.

Heteroclinic solutions of a van der Waals model with indefinite nonlocal interactions (with P.W. Bates and Xinfu Chen), Calculus of Variations and PDEs, 24 (2005), 261-281.

Existence of traveling waves for the nonlocal Burgers equation, Applied Mathematics Letters, 20 (2007), 439-444.

Solitary waves in dynamic stripes superconductors (with L. Zabielski), submitted.

Periodic minimizers with sharp interfaces, in preparation.

Misc:
Research award: NSF Standard Grant 9975451, July 15, 1999 - June 30, 2002, $62830 (Applied Mathematics program). Title of the project: Continuous and discrete nonlocal evolution equations and applications.

Professional service: Refereed articles for: Contemporary Mathematics, Applied Mathematics Letters, Proceedings of the Royal Society of Edinburgh Sect. A, Journal of Statistical Physics, Transactions of the AMS, SIAM Journal on Mathematical Analysis, Nonlinear Analysis, Discrete and Continuous Dynamical Systems A, Journal of Difference Equations and Applications.

Organizer of a minisymposium (Nonlocal Equations: Theory and Applications) at the SIAM Pacific Rim Dynamical Systems Conference (August 2000, Hawaii, USA).

Invited participant in the ``Defects and their dynamics'' work shop (09.08-16.08.2003) at the Banff International Research Station.

Poster presenter in the ``Workshop on Singularities in PDE and the Calculus of Variations'' (17.07.-21.07.2006) at the Centre de Recherches Mathematiques, Universite de Montreal.

Poster presenter at John Ball's Fest.