Here we give a list of selected applications of
pde2path beyond the demos.
H. Uecker and
D. Wetzel, Numerical results for snaking of patterns over patterns in some
2D Selkov-Schnakenberg Reaction-Diffusion systems, SIADS, 13-1:94-128, 2014;
Preprint,
Movies
D. Zhelyazov, D. Han-Kwan, and J. Rademacher, Global stability and local bifurcations in a two-fluid model for a Tokamak plasma, SIADS, 14,2:730-763, 2015
C. Kuehn, Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs, Appl. Math. Comput, 266, 656-674, 2015
C. Kuehn, Numerical continuation and SPDE stability for the 2D
cubic-quintic Allen-Cahn equation, SIAM/ASA J. Uncertain. Quantif., 2015:3, 762-789
E. Siero, A. Doelman, M. B. Eppinga, J. D. M. Rademacher, M. Rietkerk, and K. Siteur, Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes, Chaos 25, 036411 (2015)
D. Wetzel, Pattern analysis in a benthic bacteria-nutrient system, Math. Biosci. Eng., 13:303-332, 2016
H. Uecker, Optimal harvesting and spatial patterns in a semi arid
vegetation system, Natural Resource Modeling, 29-2:229-258, 2016, Preprint
T. Dohnal and H. Uecker, Bifurcation of Nonlinear Bloch waves from the spectrum in the nonlinear Gross-Pitaevskii equation, J. Nonlinear Sci. 26:3, 581-618, Preprint
S. Engelnkemper, M. Wilczek, S. Gurevich, and U. Thiele, Morphological Transitions of Sliding Drops - Dynamics and Bifurcations,
Phys. Rev. Fluids, 1:7, 073901, 2016
Y. Zelnik, H. Uecker, U. Feudel, and E. Meron, Desertification by Front Propagation?, J.Theor.Biology, 418:27-35, 2017, Preprint
D. Grass and H. Uecker, Optimal management and spatial patterns in a distributed shallow lake
model, EJDE, 2017:1, 1-21, 2017, Preprint
H. Uecker and T. Upmann, Optimal fishery with coastal catch,
Preprint, 2017
T. Dohnal and P. Siegl, Bifurcation of eigenvalues in nonlinear
problems with antilinear symmetry, J. Math. Phys 57:093502, 2016.
S. Bier, N. Gavish, H. Uecker, and A. Yochelis, Mean field approach to first and second order phase transitions in ionic liquids, PRE rapid
communications, 2017, Preprint
M. Wilczek, W. Tewes, S. Engelnkemper, S. Gurevich, U. Thiele,
Sliding drops - ensemble statistics from single drop bifurcations,
Preprint, 2017
S. V. Gurevich, J. Javaloyes, Spatial instabilities of light bullets in passively-mode-locked lasers, PRA 96, 023821, 2017
C Schelte, J Javaloyes, SV Gurevich, Dynamics of Temporal Localized States in Passively Mode-Locked Semiconductor Lasers, Preprint, 2017
N. Gavish, Poisson-Nernst-Planck equations with steric effects - non-convexity and multiple stationary solutions, Physica D, 2018
D. Wetzel, Tristability between stripes, up-hexagons, and down-hexagons and snaking bifurcation
branches of spatial connections between up- and down-hexagons, PRE, 97, 2018.
S. Engelnkemper, S. V. Gurevich, H. Uecker, D. Wetzel, U. Thiele,
Continuation for thin film hydrodynamics and
related scalar problems, in Comput. Methods Appl. Sci., 50, Springer, Cham, 2019, preprint
