11
Nov
11. November 2025
Oberseminar Analysis und Theoretische Physik
The problem
The problem
ut = ∇ · (uv∇u) − ∇ · (u2v∇v) + ℓuv, x ∈ Ω, t > 0,
vt = ∆v − uv, x ∈ Ω, t > 0, (⋆)
is considered for ℓ ≥ 0 and under no-flux boundary conditions in smoothly bounded convex planar domains Ω. The global bounded nonnegative weak solutions (u, v) with (u, v)(·, 0) = (u0, v0) are constructed. In comparison to previous partial results, this removes any assumption on strict positivity of u0 and on the size of (u0, v0).
Speaker/s
Duan Wu (Universität Paderborn)
Event organiser/s
Institut für Angewandte Mathematik
Date
11. November 202515:00 o'clock - 17:00 o'clock
Contact information
Antje GüntherInstitut für Angewandte Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511/762-3251
Fax: 0511/762-3988
guenther@ifam.uni-hannover.de
Location
Leibniz Universität HannoverBuilding: 1101
Room: c311
Welfengarten 1
30167 Hannover
