I. Publications
Preprints
(with Sara Checa, Chiara Dazzi, Andreas Münch, Dirk Peschka, Ansgar Petersen, Leonie Schmeller & Barbara Wagner) Modeling cellular self-organization in strain-stiffening hydrogels, bioRxiv:2023.12.21.572812.
(with Gurusamy Arumugam and Asha K. Dond) Global existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion, arXiv:2105.12596.
Publications
reverse chronological order of publication date
2022
[21] (with Erik Wahlén & Jörg Weber) Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl. Stud. Appl. Math., 149(2022), no.4, p.904-942, DOI 10.1111/sapm.12525 arXiv:2202.01754 Open Access Google Scholar
[20] (with G. Shanmugasundaram, G. Arumugam and N. Nagarajan) Global existence of solutions to a two-species predator–prey parabolic chemotaxis system. Int. J. Biomath., 15(2022), no.8, 2250054, DOI 10.1142/S1793524522500541 Google Scholar
[19] (with Susanne Solem) Bifurcation analysis of a modified cardiac cell model. SIAM J. Appl. Dyn. Syst., 21(2022), no.1, p.231-247, DOI 10.1137/21M1425359 Google Scholar
2021
[18] (with Susanne Solem) On complex dynamics in a Purkinje and a ventricular cardiac cell model. Commun. Nonlinear Sci. Numer. Simul., 93(2021), 2250054, DOI 10.1016/j.cnsns.2020.105511 Open Access Google Scholar
[17] Stability of weak solutions to parabolic problems with nonstandard growth and cross-diffusion. Axioms, 10(2021), no.1(14), p. 1–7, DOI 10.3390/axioms10010014 Open Access Google Scholar
2020
[16] (with Gurusamy Arumugam) Existence and uniqueness of weak solutions to parabolic problems with nonstandard growth and cross diffusion. Electron. J. Differ. Equ., 2020(2020), no.123, p. 1–13, link Open Access Google Scholar
[15] (with Gurusamy Arumugam) Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion. J. Elliptic Parabol. Equ., 6(2020), no.2, p. 685–709, DOI 10.1007/s41808-020-00078-6 Open Access Google Scholar
[14] (with Kent-Andre Mardal and Jakob Schreiner)Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. J. Comput. Neurosci., 48(2020), no.2, p.229–251, DOI 10.1007/s10827-020-00746-5 Open Access Google Scholar
[13] (with Gurusamy Arumugam, Indurekha Eswaramoorthy and Balachandran Krishnan) Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion. Nonlinear Anal. Real World, 54(2020), 103090, DOI 10.1016/j.nonrwa.2020.103090 Open Access Google Scholar
2019
[12] Early afterdepolarisations induced by an enhancement in the calcium current. Processes, 7(2019), no.1(20), p.1–16, DOI 10.3390/pr7010020 Open Access Google Scholar
2018
[11] (with Mak Bulelzai and Philipp Kügler) Early afterdepolarizations in cardiac action potentials as mixed mode oscillations due to a folded node singularity. PLoS ONE, 13(2018), no.12(e0209498), p.1–22, DOI 10.1371/journal.pone.0209498 Open Access Google Scholar
[10] Bifurcation analysis of a certain Hodgkin-Huxley model depending on multiple bifurcation parameters. Mathematics, 6(2018), no.6(103), p.1–15, DOI 10.3390/math6060103 Open Access Google Scholar
2017
[9] The stability of parabolic problems with nonstandard p(x,t)-growth. Mathematics, 5(2017), no.4(50), p.1–14, DOI 10.3390/math5040050Open Access Google Scholar
[8] (with Mak Bulelzai and Philipp Kügler) Period Doubling Cascades of Limit Cycles in Cardiac Action Potential Models as Precursors to Chaotic Early Afterdepolarizations. BMC System Biology, (2017) 11:42, DOI 10.1186/s12918-017-0422-4 Open Access Google Scholar
[7] Compact embedding for p(x,t)-Sobolev spaces and existence theory to parabolic equations with p(x,t)-growth. Rev Mat Complut, 30(2017), no.1, p.35–61, DOI 10.1007/s13163-016-0211-4 Google Scholar
2016
[6] Regularity results for nonlinear parabolic obstacle problems with subquadratic growth. J. Differential Equations, 261(2016), no.12, p.6915–6949, DOI 10.1016/j.jde.2016.09.006 Google Scholar
[5] Existence of solutions to parabolic problems with nonstandard growth and irregular obstacles. Adv. Differential Equations, 21(2016), no.5-6, p.463–504, link Google Scholar
[4] Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth. J. Math. Anal. Appl., 435(2016), no.2, p.1772–1803, DOI 10.1016/j.jmaa.2015.11.028 Google Scholar
2015
[3] Hölder estimates for parabolic obstacle problems. Ann. Mat. Pura Appl. (4), 194(2015), no.3, p.645–671, DOI 10.1007/s10231-013-0392-0 Google Scholar
[2] On the Calderón-Zygmund theory for parabolic problems with nonstandard growth condition. J. Math. Res., 7(2015), no.1, p.10–36, DOI 10.5539/jmr.v1n1p10 Open Access Google Scholar [errata]
2014
[1] Calderón-Zygmund theory for parabolic obstacle problems with nonstandard growth. Adv. Nonlinear Anal., 3(2014), no.1, p.15–44, DOI 10.1515/anona-2013-0024 Open Access Google Scholar