Global generalized solvability in the Keller-Segel system with singular sensitivity and arbitrary superlinear degradation
The author considers the fully parabolic chemotaxis system with the logarithmic sensitivity function and superlinear degradation term \(f(u)\) in bounded smooth domains of \(\mathbb R^n\), supplemented with the homogeneous Neumann conditions. Under the condition: \(f(0)\ge 0\), \(\frac{f(s)}{s}\to-\infty\) as \(s\to\infty\), the initial-boundary value problem with integrable nonnegative initial data has a suitable generalized global weak solution.
scientific article; zbMATH DE number 7613221
scientific article