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).

Referent/Referentin

Duan Wu (Universität Paderborn)

Veranstalter

Institut für Angewandte Mathematik

Termin

11. November 2025
15:00 Uhr - 17:00 Uhr

Kontakt

Antje Günther
Institut für Angewandte Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511/762-3251
Fax: 0511/762-3988
guenther@ifam.uni-hannover.de

Ort

Leibniz Universität Hannover
Geb.: 1101
Raum: c311
Welfengarten 1
30167 Hannover
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