论文标题

具有潜在力的三维可压缩纳维尔 - 长方体方程的弱解的独特性

Uniqueness of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force

论文作者

Suen, Anthony

论文摘要

我们证明了具有潜在力的三维压缩纳维尔 - 螺旋式 - 摩托克方程的弱解的唯一性。我们利用拉格朗日框架比较了两种不同溶液中相应流体颗粒的瞬时状态。目前的工作提供了有关弱解决方案如何不断依赖初始数据和稳态的定性结果。

We prove uniqueness of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force. We make use of the Lagrangean framework in comparing the instantaneous states of corresponding fluid particles in two different solutions. The present work provides qualitative results on how the weak solutions depend continuously on initial data and steady states.

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