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In this paper, a three-parameter family of self-similar and weak solutions are constructed rigorously in two space dimensions for all positive time to the Euler equations with axisymmetric and radial negative initial velocity for the Chaplygin gas. Under the axisymmetry and self-similar assumptions, the equations are reduced to a system of three ordinary differential equations, from which we obtain structures of solutions besides their existence. The solutions exhibit some phenomena, such as formation and evolution of black hole, expansion and explosive expansion, in the evolution of universe. 相似文献
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随着社会、经济的快速发展,民汉融合的程度越来越高,给偏微分方程的教学带来了极大的挑战。作者针对民汉融合式教学的特点,对偏微分方程民汉融合式教学提出了看法和建议。 相似文献
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郭俐辉 《佳木斯教育学院学报》2012,(3):95-95
偏微分方程是数学专业一门重要的专业基础课,本文主要针对偏微分方程课时少、内容多而且难的特点,进行了教学内容上的调整和教学手段上的改进,期望能够提高学生学习的积极性和主动性。 相似文献
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