مشکل کوشی در انتقال حرارت غیر خطی A Cauchy problem in nonlinear heat conduction
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : De Lillo S.
- چاپ و سال / کشور: 2006
Description
A Cauchy problem on the semiline for a nonlinear diffusion equation is considered, with a boundary condition corresponding to a prescribed thermal conductivity at the origin. The problem is mapped into a moving boundary problem for the linear heat equation with a Robin-type boundary condition. Such a problem is then reduced to a linear integral Volterra equation of II type which admits a unique solution.