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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Application of the (G′/G)-expansion method to nonlinear blood flow in large vessels
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Application of the (G′/G)-expansion method to nonlinear blood flow in large vessels

机译：（G'/ G）展开法在大血管非线性血流中的应用

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摘要

As is widely known today, Navier-Stokes equations are used to describe blood flow in large vessels. In the past several decades, and even in very recent works, these equations have been reduced to Korteweg-de Vries (KdV), modified KdV or Boussinesq equations. In this paper, we avoid such simplifications and investigate the analytical traveling wave solutions of the one-dimensional generic Navier-Stokes equations, through the (G ′ /G)-expansion method. These traveling wave solutions include hyperbolic functions, trigonometric functions and rational functions. Since some of them are not yet explored in the study of blood flow, we pay attention to hyperbolic function solutions and we show that the (G ′ /G)-expansion method presents a wider applicability that allows us to bring out the widely known blood flow behaviors. The biological implications of the found solutions are discussed accordingly.
机译：当今众所周知，Navier-Stokes方程用于描述大型血管中的血流。在过去的几十年中，甚至在最近的工作中，这些方程都简化为Korteweg-de Vries（KdV），改进的KdV或Boussinesq方程。在本文中，我们避免了这种简化，并通过（G'/ G）展开方法研究了一维通用Navier-Stokes方程的解析行波解。这些行波解包括双曲函数，三角函数和有理函数。由于其中一些尚未在血流研究中进行探索，因此我们关注双曲函数解，并且我们证明（G'/ G）展开方法具有更广泛的适用性，可以让我们引出众所周知的血液流动行为。相应地讨论了找到的解决方案的生物学意义。

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