Research Interests

Research Interests

Mathematical modelling.
Nonlinear partial differential equations and their qualitative analysis.
Interacting particle systems.
Limiting procedures.

Selected Publications

Selected Publications of Prof. Dr. Angela Stevens

A. Scheel, A. Stevens, and C. Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. J. Math. Biol., 83(1):paper no.6, 31pp, 2021.

G. Kaib, K. Kang, and A. Stevens. Global minimizers for anisotropic attractive-repulsive interactions. European J. Appl. Math., 31(5):854-870, 2019.

K. Kang, A. Scheel, and A. Stevens. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Nonlinearity, 32(6):2128–2146, 2019.

A. Scheel and A. Stevens. Wavenumber selection in coupled transport equations. J. Math. Biol., 75(5):1047–1073, 2017.

S. Grosskinsky, D. Marahrens, and A. Stevens. A hydrodynamic limit for chemotaxis in a given heterogeneous environment. Vietnam J. Math., 45(1):127–152, 2017.

J. Fuhrmann and A. Stevens. A free boundary problem for cell motion. Differential Integral Equations, 28(7/8):695–732, 2015.

I. Primi, A. Stevens, and J. J. L. Velázquez. Pattern forming instabilities driven by non-diffusive interactions. Netw. Heterog. Media, 8(1):397–432, 2013.

I. Primi, A. Stevens, and J. J. L. Velázquez. Mass-selection in alignment models with non-deterministic effects. Comm. Partial Differential Equations, 34(5):419–456, 2009.

E. E. Espejo Arenas, A. Stevens, and J. J. L. Velázquez. Simultaneous finite time blow-up in a two-species model for chemotaxis. Analysis, 29(3):317–338, 2009.

H. J. Hwang, K. Kang, and A. Stevens. Global solutions of nonlinear transport equations for chemosensitive movement. SIAM J. Math. Anal., 36(4):1177–1199, 2005.

S. Heinze, G. Papanicolaou, and A. Stevens. Variational principles for propagation speeds in inhomogeneous media. SIAM J. Appl. Math., 62(1):129–148, 2001.

A. Stevens. The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. SIAM J. Appl. Math., 61(1):183–212, 2000.

H. G. Othmer and A. Stevens. Aggregation, blowup, and collapse: the {ABC}s of taxis in reinforced random walks. SIAM J. Appl. Math., 57(4):1044–1081, 1997.

Recent Publications

Recent Publications of Prof. Dr. Angela Stevens

Stephan Luckhaus and Angela Stevens. A free boundary problem-in time-for the spread of Covid-19. Journal of Mathematical Biology, 86(3):45, February 2023. doi:10.1007/s00285-023-01881-0.

Stephan Luckhaus and Angela Stevens. A two level contagion process and its deterministic McKendrick limit with relevance for the Covid epidemic. Ensaios Matemáticos, 2023. doi:10.21711/217504322023/em3813.

Stephan Luckhaus and Angela Stevens. Kermack and McKendrick Models on a Two-Scale Network and Connections to the Boltzmann Equations, pages 417–427. Lecture Notes in Mathematics. Springer International Publishing, January 2023. doi:10.1007/978-3-031-12244-6_29.

Angela Stevens and Michael Winkler. Taxis-driven persistent localization in a degenerate Keller-Segel system. Commun. Part. Diff. Eq., 47(12):2341–2362, October 2022. doi:10.1080/03605302.2022.2122836.

Arnd Scheel and Angela Stevens. Regeneration of tissue: Lessons learned from flatworms. SIAM News, October 2021. URL: https://www.siam.org/publications/siam-news/articles/regeneration-of-tissue-lessons-learned-from-flatworms/.

Gunnar Kaib, Kyungkeun Kang, and Angela Stevens. Global minimizers for anisotropic attractive-repulsive interactions. Eur. J. Appl. Math., pages 1–17, October 2019. doi:10.1017/s0956792519000299.

Kyungkeun Kang, Arnd Scheel, and Angela Stevens. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Nonlinearity, 32(6):2128–2146, May 2019. doi:10.1088/1361-6544/ab046d.