Parabolic problems

There are many nonstationary phenomena that are described by parabolic, rather than hyperbolic, equations. Second-order partial differential equations of parabolic type are often encountered in the study of heat conduction and diffusion processes. The simplest equation of parabolic type, (where a 2 = const) is usually called the heat equation ; here u ( x , t ) is the temperature in the point with abscissa x at time t . These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.