论文标题
BousSinesQ系统具有衡量强迫
Boussinesq system with measure forcing
论文作者
论文摘要
我们解决了一个有关具有热源的BousSinesQ类型系统存在的问题。该问题在整个二维平面中进行了研究，热源是由流量运输的量度。对于任意的初始数据，我们证明了独特的常规解决方案的时间存在。测量热源限制了构建解决方案的规律性，并使我们在$ l^\ infty（0，t; b^s_ {p，\ infty}）$ - 类型的非均匀besov空间的非标准框架中工作。拉格朗日坐标的应用产生的独特性省略了与措施比较的困难。
We address a question concerning the issue of existence to a Boussinesq type system with a heat source. The problem is studied in the whole two dimensional plane and the heat source is a measure transported by the flow. For arbitrary initial data, we prove global in time existence of unique regular solutions. Measure being a heat source limits regularity of constructing solutions and make us work in a non-standard framework of inhomogeneous Besov spaces of the $L^\infty(0,T;B^s_{p,\infty})$-type. Application of the Lagrangian coordinates yields uniqueness omitting difficulties with comparison of measures.
