3 papers
math.AP2021
Chevron pattern equations: exponential attractor and global stabilization
H. Kalantarova, V. Kalantarov, O. Vantzos
The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential a…
math.AP2019
Global Behavior of Solutions to Chevron Pattern Equations
H. Kalantarova, V. Kalantarov, O. Vantzos
Considering a system of equations modeling the chevron pattern dynamics, we show that the corresponding initial boundary value problem has a unique weak solution that continuously…
math.AP2019
Self-Similar Grooving Solutions to the Mullins' Equation
Habiba Kalantarova, Amy Novick-Cohen
In 1957, Mullins proposed surface diffusion motion as a model for thermal grooving. By adopting a small slope approximation, he reduced the model to the Mullins' linear surface dif…