Mathematical and numerical analysis for reaction-diffusion systems modeling the spread of early tumors
نویسندگان
چکیده
Abstract We prove existence results for a reaction-diffusion system modeling the spread of early tumors. The existence result is proved by the Faedo-Galerkin method, a priori estimates and the compactness method. Moreover, we construct a finite volume scheme to our model, we establish existence of discrete solutions to this scheme, and show that it converges to a weak solution. Finally, some numerical simulations are reported.
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