Functional Separable Solutions of Nonlinear Heat Equations in Non-Newtonian Fluids

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（2）
• 页码范围: 257-262
• 页数: 6页
• 语种: 英文

摘要

We study the functional separation of variables to the nonlinear heat equation: ut = (A(x) (u)unx)x +B(x)Q(u), Ax ≠0. Such equation arises from non-Newtonian fluids. Its functional separation of variables is studied by using the group foliation method. A classification of the equation which admits the functional separable solutions is performed. As a consequence, some solutions to the resulting equations are obtained.