Thursday Afternoon, October 26

Blowup Solutions for Nonlinear Volterra Integral Equations

Nonlinear Volterra integral equations arise in the analysis of certain models of diffusive media where the solutions can exhibit explosive behavior. In this session, speakers will identify conditions for achieving and controlling blowup, discuss the growth rate behavior of such solutions and indicate connections between this developing theory and that for nonlinear parabolic pde's. Solution techniques suitable for nonlinear integral operators are derived from functional, numerical and asymptotic analytic methods. The speakers will present recent results and open problems for coupled systems, integro-differential equations and problems involving both local and nonlocal nonlinearities.

Organizers: Catherine A. Roberts, Northern Arizona University and M. Zuhair Nashed, University of Delaware

12:30 Control and Inverse Problems for Blowup in Nonlinear Volterra Integral Equations
M. Zuhair Nashed, Organizer

1:00 Explosion in a Diffusive Medium Due to a Source with Both Local and Nonlocal Features
W. E. Olmstead, Northwestern University

1:30 Coupled Volterra Equations with Blowup Solutions
Catherine A. Roberts, Organizer

2:00 The Numerical Analysis of Blow-Up in Volterra Integral and Integro- Differential Equations
Hermann Brunner, Memorial University of Newfoundland, Canada

Transportation | Registration | Hotel Information | Speaker Index | Program Overview