1 citations · 1 across the 4 of their papers we have counts for
8 papers
Optimal Control of Singular Parabolic PDEs Modeling Multiphase Stefan-type Free Boundary Problems
Ugur G. Abdulla, Evan Cosgrove
Optimal control of the singular nonlinear parabolic PDE which is a distributional formulation of multidimensional and multiphase Stefan-type free boundary problem is analyzed. Appr…
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…
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…
Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction-diffusion equations. II. Fast diffusion vs. absorption
Ugur G. Abdulla, Roqia Jeli
We present a full classification of the short-time behaviour of the interfaces and local solutions to the nonlinear parabolic -Laplacian type reaction-diffusion equation of non-…