On the Nonlinear Instability of Traveling Waves for a Sixth-Order Parabolic Equation

الملخص EN

We study the instability of the traveling waves of a sixth-order parabolic equation which arises naturally as a continuum model for the formation of quantum dots and their faceting.

We prove that some traveling wave solutions are nonlinear unstable under H4 perturbations.

These traveling wave solutions converge to a constant as x→∞.