给定热流密度边界层流动的相似解
On similarity solutions for boundary layer flows with prescribed heat flux
摘要：
研究了在$\mathbb{R}^+$上的三阶非线性自治微分方程$f'''+(m+2)ff''-(2m+1)f'^2=0$在边界条件$f(0)=-γ$、$f'(\infty)=0$和$f''(0)=-1$下解的存在性、唯一性和性态.这个问题出现时，寻找相似的解决方案，边界层流动与指定的热通量。为了研究解，我们使用一些直接的方法以及爆破坐标，以获得一个平面动力系统。
英文摘要：
This paper is concerned with existence, uniqueness and behavior of the solutions of the autonomous third order nonlinear differential equation $f'''+(m+2)ff''-(2m+1)f'^2=0$ on $\mathbb{R}^+$ with the boundary conditions $f(0)=-γ$, $f'(\infty)=0$ and $f''(0)=-1$. This problem arises when looking for similarity solutions for boundary layer flows with prescribed heat flux. To study solutions we use some direct approach as well as blowing-up coordinates to obtain a plane dynamical system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
