Mathematical Biology Tumor Growth Open access Peer reviewed

Bounded small-signal solutions in a three-dimensional doubly degenerate chemotaxis system

Michael Winkler, Duan Wu

Nonlinearity | Aug 6, 2026

Abstract

Abstract

Abstract A no-flux initial-boundary value problem for { l u t = ∇ ⋅ ( u v ∇ u ) − χ ∇ ⋅ ( u 2 v ∇ v ) + ℓ u v , v t = Δ v − u v , ( ⋆ ) is considered in a smoothly bounded and not necessarily convex domain Ω ⊂ R n with n ⩽ 3 , with nonnegative parameters χ and ℓ , and under the initial condition <mml:math xmlns:mml="http://www.w3.org/

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Authors

Researchers on this paper

Michael Winkler

first | Paderborn University | ORCID 0000-0002-3151-064X

Duan Wu

last | Paderborn University

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Citation

BibTeX

@article{Winkler2026Bounded,
  title = {Bounded small-signal solutions in a three-dimensional doubly degenerate chemotaxis system},
  author = {Michael Winkler and Duan Wu},
  journal = {Nonlinearity},
  year = {2026},
  doi = {10.1088/1361-6544/ae8ef1},
  url = {https://doi.org/10.1088/1361-6544/ae8ef1}
}

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