THE ASYMPTOTIC BEHAVIOR AS <i>t </i>→ ∞ OF THE COMPONENTS OF SOLUTION OF THE PROBLEM DESCRIBING SMALL FLUCTUATIONS OF STRATIFIED FLUID ROTATION IN THE SEMI-SPACE. PART 1
This article is devoted to studying a number of components of solution of the system of partial differential equations. The system of equations describes the small fluctuations of the exponentially stratified and uniformly rotating fluid in the Cartesian system of coordinates (<i>х</i><sub><i></i>1</sub><i>х</i><sub><i></i>2</sub><i>,х</i><sub><i></i>3</sub>) rigidly connected with the rotating fluid. The fluid is stratified along the axis <i>Ox</i><sub><i></i>3</sub><i> </i>coinciding with the axis of rotation: <i>р</i><sub><i></i>0</sub>(<i>х</i><sub><i></i>3</sub>) = Aехр(-2<i>β</i>х<sub>3</sub>), where <i>β</i> > 0 is a parameter of stratification. The asymptotics of one of the components of the solution is constructed.