On the nonlinear stability of flow of a dusty gas

The paper examines the stability of the flow of a dusty gas (e.g., the stability of aerosol suspension in the atmosphere) for arbitrary nonlinear disturbances using an energy method which considers the time rate of change of total energy of an arbitrary disturbance of the flow field. If the total energy decreases with time, the flow is called stable. With this method, a universal stability estimate is obtained which provides a sufficient condition for asymptotic stability in the mean. The calculus of variations is also used to obtain a universal stability estimate.