Analysis of a mixture model of tumor growth Academic Article uri icon

abstract

  • We study an initial-boundary value problem for a coupled Cahn-Hilliard-Hele-Shaw system that models tumour growth. For large initial data with finite energy, we prove global (local resp.) existence, uniqueness, higher order spatial regularity and the Gevrey spatial regularity of strong solutions to the initial-boundary value problem in two dimensions (three dimensions resp.). Asymptotically in time, we show that the solution converges to a constant state exponentially fast as time tends to infinity under certain assumptions. Copyright © Cambridge University Press 2013 Â.

altmetric score

  • 0.5

author list (cited authors)

  • LOWENGRUB, J., TITI, E., & ZHAO, K.

citation count

  • 34

publication date

  • May 2013