A cross-diffusive evolution system arising from biological transport networks
نویسندگان
چکیده
In this paper, we are concerned with a cross-diffusive evolution system arising from biological transport networks. We study the general regularity properties of solutions to corresponding Dirichlet-Neumann initial-boundary value problem (DNibvp). By applying divergence equations and Dirichlet heat semigroup, find that DNibvp possesses globally classical solution which is unique uniformly bounded. Based on uniform boundedness, establish existence steady states by means dynamical methods. Our results demonstrate transient will stabilize stationary in infinite time an exponential time-decay rate.
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ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2021
ISSN: ['1878-7274', '1007-5704']
DOI: https://doi.org/10.1016/j.cnsns.2020.105465