Browsing by Subject "Global existence"

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Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects

Lankeit, Johannes; Winkler, Michael (Basel : Springer, 2022)

We introduce a generalized concept of solutions for reaction–diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special ...
Global existence of classical solutions and numerical simulations of a cancer invasion model

Fuest, Mario; Heydari, Shahin; Knobloch, Petr; Lankeit, Johannes; Wick, Thomas (Les Ulis : EDP Sciences, 2023)

In this paper, we study a cancer invasion model both theoretically and numerically. The model is a nonstationary, nonlinear system of three coupled partial differential equations modeling the motion of cancer cells, ...
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems

Fuest, Mario (Basel : Springer, 2023)

In the first part of the present paper, we show that strong convergence of (v0ε)ε∈(0,1) in L1(Ω) and weak convergence of (fε)ε∈(0,1) in Lloc1(Ω¯×[0,∞)) not only suffice to conclude that solutions to the initial boundary ...

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