Singular Cauchy problem for the equation of flow of thin viscous films with nonlinear convection

• Date: 2006
• Main Authors: Taranets, R. M., Shishkov, A. E., Таранец, Р. М., Шишков, А. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3450
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For multidimensional equations of flow of thin capillary films with nonlinear diffusion and convection, we prove the existence of a strong nonnegative generalized solution of the Cauchy problem with initial function in the form of a nonnegative Radon measure with compact support. We determine the ex...