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math.AP2019★ 2 cited
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…