Research Interests

Research Interests

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

Selected Publications

Selected Publications of Angela Stevens

$\bullet$ A. Scheel, A. Stevens, and C. Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. arXiv e-prints: 1908.04253, 2019.

$\bullet$ G. Kaib, K. Kang, and A. Stevens. Global minimizers for anisotropic attractive-repulsive interactions. To appear in European J. Appl. Math., 2019.

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

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

$\bullet$ 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.

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

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

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

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

$\bullet$ 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.

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

$\bullet$ 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.

$\bullet$ 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.

Current Publications

$\bullet $ G. Kaib, K. Kang, and A. Stevens. Global minimizers for anisotropic attractive-repulsive interactions. . European Journal of Applied Mathematics, pages 1–17, October 2019. doi:10.1017/s0956792519000299.

$\bullet $ A. Scheel, A. Stevens, and C. Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. arXiv e-prints, August 2019. arXiv:1908.04253.

$\bullet $ K. Kang, A. Scheel, and A. Stevens. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Nonlinearity, 32(6):2128–2146, May 2019. URL: https://doi.org/10.1088/1361-6544/ab046d, doi:10.1088/1361-6544/ab046d.