Preprints:
J. Junné, R. Winter, H. Yoldaş, On the existence of solutions to the multi-species Landau equation (2025).
V. Freingruber, R. Gonzalez-Cabaleiro, H. Yoldaş, Ecological interactions and spatial dynamics in microbial aggregates: A novel modelling framework arXiv:2512.13156 (2025).
J. Evans, D. Morris, H. Yoldaş, On a class of nonlinear BGK-type kinetic equations with density dependent collision rates, arXiv:2503.14225 (2025).
Publications:
S. Merino-Aceituno, S. Plunder, C. Wytrzens, H. Yoldaş, Macroscopic effects of an anisotropic Gaussian-type repulsive potential: nematic alignment and spatial effects, Mathematical Models and Methods in Applied Sciences, 35(10): 2129-2179 (2025). arXiv:2410.06740
J. Evans, H. Yoldaş, Trend to equilibrium for run and tumble equations with non-uniform tumbling kernels, Acta Applicandae Mathematicae, 191(6) (2024). arXiv:2307.03469
J. Evans, H. Yoldaş, On the asymptotic behaviour of a run and tumble equation for bacterial chemotaxis, SIAM Journal on Mathematical Analysis, 55(6): 7635-7664 (2023). arXiv:2103.16524
H. Yoldaş, On quantitative hypocoercivity estimates based on Harris-type theorems, Journal of Mathematical Physics, 64(3): 031101 (2023). arXiv:2203.00096
V. Calvez, H. Hivert, H. Yoldaş, Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme, Numerische Mathematik, 154:103-153 (2023). arXiv:2204.04146
R. Ducasse, F. Santambrogio, H. Yoldaş, A cross-diffusion system obtained via (convex) relaxation in the JKO scheme, Calculus of Variations and Partial Differential Equations, 62(1):29 (2023). arXiv:2111.13764
A. B. T. Barbaro, N. Rodriguez, H. Yoldaş, N. Zamponi, Analysis of a cross-diffusion model for rival gangs interaction in a city, Communications in Mathematical Sciences, 19(8): 2139-2175 (2021). arXiv:2009.04189
J. A. Cañizo, P. Gabriel, H. Yoldaş, Spectral gap for the growth-fragmentation equation via Harris's Theorem, SIAM Journal on Mathematical Analysis, 53(5): 5185-5214 (2021). arXiv:2004.08343
J. A. Cañizo, C. Cao, J. Evans, H. Yoldaş, Hypocoercivity of linear kinetic equations via Harris's Theorem, Kinetic & Related Models, 13(1): 97-128 (2020). arXiv:1902.10588
J. A. Cañizo, H. Yoldaş, Asymptotic behaviour of neuron population models structured by elapsed-time, Nonlinearity, 32(2): 464–495 (2019). arXiv:1803.07062
Others (codes & simulations):
V. Calvez, H. Hivert, H. Yoldaş, Concentration in Lotka-Volterra parabolic equations: codes of the asymptotic-preserving scheme, 2022.
S. Merino-Aceituno, S. Plunder, C. Wrytzens, H. Yoldaş, Macroscopic effects of an anisotropic Gaussian-type repulsive potential: nematic alignment and spatial effects, 2024.
Theses:
H. Yoldaş, Asymptotic behaviour of some non-local equations in mathematical biology and kinetic theory, Ph.D. Thesis, University of Granada, ISBN:9788411170772, 2019.
H. Yoldaş, A study of non-local Hughes’s model for pedestrian flow, M.Sc. Thesis, University of L'Aquila, 2015.
H. Yoldaş, The Hahn-Banach Theorem and its main applications, B.Sc. Thesis, Boğaziçi University, 2013.
Co-authors: (in alphabetical order)
Alethea B. T. Barbaro (TU Delft, The Netherlands)
Vincent Calvez (CNRS, Université de Bretagne Occidentale, France)
José A. Cañizo (University of Granada, Spain)
Chuqi Cao (Hong Kong Polytechnic University, China)
Romain Ducasse (Université Paris Cité, France)
Josephine Evans (University of Warwick, UK)
Viktoria Freingruber (TU Delft, The Netherlands)
Pierre Gabriel (Université de Tours, France)
Rebeca Gonzalez-Cabaleiro (TU Delft, The Netherlands)
Hélène Hivert (Université de Rennes, France)
Jonathan Junné (TU Delft, The Netherlands)
Sara Merino-Aceituno (University of Vienna, Austria)
Daniel Morris (TU Delft, The Netherlands)
Steffen Plunder (Kyoto University, Japan)
Nancy Rodriguez (University of Colorado Boulder, USA)
Filippo Santambrogio (Université Claude Bernard Lyon 1, France)
Raphael Winter (Cardiff University, UK)
Claudia Wrytzens (University of Vienna, Austria)
Nicola Zamponi (Universität Ulm, Germany)