LIPSCHITZ SEMIGROUP FOR AN INTEGRO-DIFFERENTIAL EQUATION FOR SLOW EROSION

作者:Colombo Rinaldo M*; Guerra Graziano; Shen Wen
来源:Quarterly of Applied Mathematics, 2012, 70(3): 539-578.
DOI:10.1090/S0033-569X-2012-01309-2

摘要

In this paper we study an integro-differential equation describing granular flow dynamics with slow erosion. This nonlinear partial differential equation is a conservation law where the flux contains an integral term. Through a generalized wave front tracking algorithm, approximate solutions are constructed and shown to converge strongly to a Lipschitz semigroup.

  • 出版日期2012-9