1 citations · 1 across the 6 of their papers we have counts for
5 papers · 1 filter
Optimal control of multiphase free boundary problems for nonlinear parabolic equations
Ugur G. Abdulla, Evan Cosgrove
We consider the optimal control of singular nonlinear partial differential equation which is the distributional formulation of the multiphase Stefan type free boundary problem for…
Interface Development for the Nonlinear Degenerate Multidimensional Reaction-Diffusion Equations
Ugur G. Abdulla, Amna Abu Weden
This paper presents a full classification of the short-time behavior of the interfaces in the Cauchy problem for the nonlinear second order degenerate parabolic PDE \[ u_t-Δu^m +b…
Identification of Parameters for Large-scale Kinetic Models
Ugur G. Abdulla, Roby Poteau
Inverse problem for the identification of the parameters for large-scale systems of nonlinear ordinary differential equations (ODEs) arising in systems biology is analyzed. In a re…
Evolution of Interfaces for the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption. II. Fast Diffusion Case
Ugur G. Abdulla, Adam Prinkey, Montie Avery
We prove the short-time asymptotic formula for the interfaces and local solutions near the interfaces for the nonlinear double degenerate reaction-diffusion equation of turbulent f…
Optimal Stefan Problem
Ugur G. Abdulla, Bruno Poggi
We consider the inverse multiphase Stefan problem with homogeneous Dirichlet boundary condition on a bounded Lipschitz domain, where the density of the heat source is unknown in ad…