Analysis of small oscillations of a heavy almost-homogeneous liquid-gas system

作者：Essaouini H^*; El Bakkali L; Capodanno P

来源：Mechanics Research Communications, 2010, 37(3): 337-340.

DOI：10.1016/j.mechrescom.2010.01.003

• Heterogeneous liquid and gas
• Small oscillations
• Operators pencils
• Spectral problem

The authors study the small oscillations of a heavy system formed by an almost-homogeneous liquid (i.e. a liquid whose density in equilibrium is practically a linear function of the height, which differs very little from a constant) and a moving gas in a container.
Using functional analysis, they prove that the spectrum is comprised of a countable set of real eigen-values and an essential spectrum, which fills an interval.

• 出版日期2010-4