标题： 具有表面张力的圆柱坐标下分层赤道流 显示英文标题

标题： Stratified equatorial flows in cylindrical coordinates with surface tension

摘要： 本文考虑了无粘、不可压缩流体沿环向作定常流动的数学模型。水的密度随深度变化，波在重力作用下传播，流体在平坦的底部上方且具有自由表面，在自由表面上有张力的作用。我们的研究涉及用柱坐标表示的具有自由表面的流体在赤道的大尺度动力学。我们还证明了自由表面的一个正则性结果。 显示英文摘要

摘要： This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal direction. The water density varies with depth and the waves are propagating under the force of gravity, over a flat bed and with a free surface, on which acts a force of surface tension. Our solution pertains to large scale equatorial dynamics of a fluid with free surface expressed in cylindrical coordinates. We also prove a regularity result for the free surface.