Research output per year
Research output per year
- 25 results
Search results
-
2025
Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion
Eckardt, M. & Zhigun, A., 15 Mar 2025, In: Journal of Mathematical Analysis and Applications. 543, Issue 2, Part 2, 22 p., 128971.Research output: Contribution to journal › Article › peer-review
Open AccessFile6 Downloads (Pure) -
Local well-posedness for a novel nonlocal model for cell-cell adhesion via receptor binding
Rajendran, M. L. & Zhigun, A., 24 Apr 2025, (Accepted) In: SIAM Journal on Mathematical Analysis.Research output: Contribution to journal › Article › peer-review
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2024
Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal
Zhigun, A., Oct 2024, In: Nonlinear Analysis: Real World Applications. 79, 34 p., 104132.Research output: Contribution to journal › Article › peer-review
Open AccessFile43 Downloads (Pure) -
Modelling non-local cell-cell adhesion: a multiscale approach
Zhigun, A. & Rajendran, M. L., May 2024, In: Journal of Mathematical Biology. 88, 5, 35 p., 55.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)22 Downloads (Pure) -
2022
A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments
Zhigun, A. & Surulescu, C., 13 Jan 2022, In: SIAM Journal on Applied Mathematics. 82, 1Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Citations (Scopus)102 Downloads (Pure) -
Flux limitation mechanisms arising in multiscale modelling of cancer invasion
Zhigun, A., 30 Mar 2022, In: Mathematical Proceedings of the Royal Irish Academy. 122A, 1, p. 5-26Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)48 Downloads (Pure) -
2021
Multiphase modelling of glioma pseudopalisading under acidosis
Kumar, P., Surulescu, C. & Zhigun, A., 16 Nov 2021, In: Mathematics in Engineering. 4, 6, p. 1-28Research output: Contribution to journal › Special issue › peer-review
Open AccessFile2 Citations (Scopus)63 Downloads (Pure) -
2020
Acidic dance
Hiremath, S., Sonner, S., Surulescu, C. & Zhigun, A., 17 Apr 2020, The Art of Theoretical Biology. Matthäus, F., Matthäus, S., Harris, S. & Hillen, T. (eds.). Springer International Publishing AG, p. 84-85 2 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
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Mathematical models for cell migration: a nonlocal perspective
Chen, L., Painter, K., Surulescu, C. & Zhigun, A., 27 Jul 2020, (Early online date) In: Philosophical Transactions of the Royal Society B.Research output: Contribution to journal › Special issue › peer-review
Open AccessFile57 Citations (Scopus)493 Downloads (Pure) -
Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
Eckardt, M., Painter, K., Surulescu, C. & Zhigun, A., 17 Oct 2020, In: Journal of Mathematical Biology. 81, p. 1251–1298 48 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile14 Citations (Scopus)83 Downloads (Pure) -
2019
Generalized Global Supersolutions with Mass Control for Systems with Taxis
Zhigun, A., 13 Jun 2019, In: SIAM Journal on Mathematical Analysis. 51, 3, p. 2425-2443 19 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile11 Citations (Scopus)303 Downloads (Pure) -
On a model for epidemic spread with interpopulation contact and repellent taxis
Ruoja, C. S., Surulescu, C. & Zhigun, A., Nov 2019, In: Advances in Mathematical Sciences and Applications . 28, 1, p. 99-113 15 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile57 Downloads (Pure) -
2018
A strongly degenerate diffusion-haptotaxis model of tumour invasion under the go-or-grow dichotomy hypothesis
Zhigun, A., Surulescu, C. & Hunt, A., 01 Apr 2018, In: Mathematical Methods in the Applied Sciences. 41, 6, p. 2403-2428 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile20 Citations (Scopus)340 Downloads (Pure) -
Generalised supersolutions with mass control for the Keller–Segel system with logarithmic sensitivity
Zhigun, A., 15 Nov 2018, In: Journal of Mathematical Analysis and Applications. 467, 2, p. 1270-1286 17 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile20 Citations (Scopus)204 Downloads (Pure) -
On a coupled sde-PDE system modeling ACID-mediated tumor invasion
Hiremath, S. A., Surulescu, C., Zhigun, A. & Sonner, S., Aug 2018, In: Discrete and Continuous Dynamical Systems - Series B. 23, 6, p. 2339-2369 31 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)266 Downloads (Pure) -
On an exponential attractor for a class of pdes with degenerate diffusion and chemotaxis
Efendiev, M. & Zhigun, A., 01 Feb 2018, In: Discrete and Continuous Dynamical Systems- Series A. 38, 2, p. 651-673 23 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile12 Citations (Scopus)187 Downloads (Pure) -
2016
Global existence for a degenerate haptotaxis model of cancer invasion
Zhigun, A., Surulescu, C. & Uatay, A., 01 Dec 2016, In: Zeitschrift fur Angewandte Mathematik und Physik. 67, 146, 29 p., 146.Research output: Contribution to journal › Article › peer-review
43 Citations (Scopus) -
The Malliavin derivative and compactness: application to a degenerate PDE-SDE coupling
Zhigun, A., 06 Sept 2016Research output: Other contribution
File118 Downloads (Pure) -
2015
Analysis of a bacterial model with nutrient-dependent degenerate diffusion
Horger, T., Kuttler, C., Wohlmuth, B. & Zhigun, A., 30 Nov 2015, In: Mathematical Methods in the Applied Sciences. 38, 17, p. 3851-3865Research output: Contribution to journal › Article › peer-review
5 Citations (Scopus) -
2014
Analysis of a degenerate biofilm model with a nutrient taxis term
Eberl, H. J., Efendiev, M. A., Wrzosek, D. & Zhigun, A., 01 Jan 2014, In: Discrete and Continuous Dynamical Systems- Series A. 34, 1, p. 99-119Research output: Contribution to journal › Article › peer-review
10 Citations (Scopus) -
On a new transformation for generalised porous medium equations from weak solutions to classical
Zhigun, A., 24 Oct 2014, 6 p.Research output: Other contribution
Open AccessFile36 Downloads (Pure) -
On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis
Efendiev, M., Zhigun, A. & Senba, T., 2014, In: Journal of the Mathematical Society of Japan. 66, 4, p. 1133-1153Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
2013
On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis
Zhigun, A. & Efendiev, M., 2013, In: Advances in Mathematical Sciences and Applications . 23, 2, p. 437–460 24 p.Research output: Contribution to journal › Article › peer-review
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On a Global Uniform Pullback Attractor of a Class of PDEs with Degenerate Diffusion and Chemotaxis in One Dimension
Efendiev, M. & Zhigun, A., 01 Jan 2013, Recent Trends in Dynamical Systems - Proceedings of a Conference in Honor of Jurgen Scheurle. Springer New York LLC, Vol. 35. p. 179-203 25 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
2 Citations (Scopus) -
2010
On the Positivity of the Clamped Plate Equation for Cubic Perturbations of a Disk in R^2
Zhigun, A., 2010, In: International Journal of Biomathematics and Biostatistics. 1, 2, p. 181-190 10 p.Research output: Contribution to journal › Article › peer-review