Publications

Editorial work

• “Mathematical Analysis of Continuum Mechanics and Industrial Applications II: Proceedings of the International Conference CoMFoS16”, Eds. P. van Meurs, M. Kimura, H. Notsu, Springer Singapore (2018) link

Papers in preparation

• B. Hilder, P. van Meurs, U. Sharma. "The meaning of the LSI assumption on fast-slow Markov chains"

• M. Buze and P. van Meurs. "Free plasticity zone at crack tip derived from a discrete dislocation model"

• H. Duong, P. van Meurs. "Long-time behavior of the Generalized Langevin Equation with interactions and propagation of chaos for the underlying particle system"

• P. van Meurs, M. A. Peletier, T. Slangen. "Global existence for the stochastic dynamics of screw dislocations with annihilation upon collision"

Preprints

1. X. Lu, P. van Meurs, K. Tsunoda. "Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision", submitted. ArXiv

2. T. de Jong, P. van Meurs. "Hölder regularity for the trajectories of generalized charged particles in 1D", submitted. ArXiv

Publications

1. P. van Meurs. "Discrete-to-continuum limits of interacting particle systems in one dimension with collisions", Journal of Mathematical Analysis and Applications, in press (2024). Open access. Preprint: ArXiv

2. P. van Meurs and S. Patrizi. "Discrete Dislocations Dynamics with annihilation as the limit of the Peierls-Nabarro model in one dimension" SIAM Journal on Mathematical Analysis, 56(1) (2024). Link. Preprint: ArXiv

3. T. Funaki, P. van Meurs, S. Sethuraman, K. Tsunoda. "Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics", Ensaios Matemáticos, 38 (2023). Open access. Preprint: ArXiv 

4. L. Apisornpanich and P. van Meurs. "A simple, accurate scheme for the flow of an electric charge distribution" The Science Reports of Kanazawa University, 66 (2023). Link.

5. P. van Meurs and K. Tanaka. "Convergence rates for energies of interacting particles whose distribution spreads out as their number increases" ESAIM: Control, Optimisation and Calculus of Variations, 29 (2023). online publication. Preprint: ArXiv

6. T. Funaki, P. van Meurs, S. Sethuraman, K. Tsunoda. "Motion by mean curvature from Glauber-Kawasaki dynamics with speed change", Journal of Statistical Physics, 190(45) (2023). pdf (view only). Link. Preprint: ArXiv 

7. P. van Meurs, M. A. Peletier and N. Pozar. "Discrete-to-continuum convergence of charged particles in 1D with annihilation", Archive for Rational Mechanics and Analysis, 246 (2022). Open access. Preprint: ArXiv

8. T. de Jong and P. van Meurs. "Uniqueness of local, analytic solutions to singular ODEs" Acta Applicandae Mathematicae, 180 (2022). DOI. Preprint: ArXiv 

9. P. van Meurs. "Boundary-layer analysis of repelling particles pushed to an impenetrable barrier" SIAM Journal on Mathematical Analysis, 54(2) (2022). Link. Preprint: ArXiv 

10. P. van Meurs. "Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves" European Journal of Applied Mathematics 33 (2022) 1032-1061. Link. DOI. Preprint: ArXiv

11. M. Kimura, P. van Meurs, Z.X. Yang. "Particle dynamics with elastic collision at the boundary: existence and partial uniqueness of solutions" Acta Applicandae Mathematicae, 174(1) (2021). Link. Preprint: ArXiv

12. M. Kimura and P. van Meurs. "Quantitative estimate of the continuum approximations of interacting particle systems in one dimension" SIAM Journal on Mathematical Analysis, 53(1) (2021) 681-709. Link. Preprint: ArXiv 

13. P. Cesana and P. van Meurs. "Discrete-to-continuum limits of planar disclinations" ESAIM: Control, Optimisation and Calculus of Variations, 27 (2021). link. Preprint: ArXiv

14. T. Hudson, P. van Meurs and M. A. Peletier. "Atomistic origins of continuum dislocation dynamics" Mathematical Models and Methods in Applied Sciences, 30(13) (2020) 2557-2618. link. Preprint: ArXiv

15. P. van Meurs. "The continuum limit of interacting dislocations on multiple slip systems" ESAIM: Control, Optimisation and Calculus of Variations, 26 (2020). link. Preprint: ArXiv 

16. M. Kimura and P. van Meurs. “Regularity of the minimiser of one-dimensional interaction energies” ESAIM: Control, Optimisation and Calculus of Variations, 26 (2020). link. Preprint: ArXiv

17. M. Kimura, P. van Meurs, Z.X. Yang. "Particle dynamics subject to impenetrable boundaries: existence and uniqueness of mild solutions" SIAM Journal on Mathematical Analysis 51(6) (2019) 5049-5076. link download Preprint: ArXiv

18. P. van Meurs and M. Morandotti. "Discrete-to-continuum limits of particles with an annihilation rule" SIAM Journal on Applied Mathematics 79(5) (2019) 1940-1966. link download Preprint: ArXiv

19. A. Garroni, P. van Meurs, M. A. Peletier and L. Scardia. "Convergence and non-convergence of many-particle evolutions with multiple signs" Archive for Rational Mechanics and Analysis 235(1) (2019) 3-49. link. Preprint: ArXiv

20. P. van Meurs. “Many-particle limits and non-convergence of dislocation wall pile-ups” Nonlinearity 31 (2018) 165-225. link Preprint: ArXiv

21. C. L. Hall, T. Hudson and P. van Meurs. "Asymptotic analysis of boundary layers in a repulsive particle system" Acta Applicandae Mathematicae 153(1) (2018) 1-54. link. Preprint: ArXiv

22. G. A. Bonaschi, P. van Meurs and M. Morandotti. "Dynamics of screw dislocations: a generalised minimising-movements scheme approach" European Journal of Applied Mathematics 28(4) (2017) 636–655. link. Preprint: arXiv

23. A. Garroni, P. van Meurs, M. A. Peletier and L. Scardia. "Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock" Mathematical Models and Methods in Applied Sciences 26(14) (2016) 2735–2768. link. Preprint: arXiv 

24. P. van Meurs and A. Muntean. "Upscaling of the dynamics of dislocation walls" Advances in Mathematical Sciences and Applications 24(2) (2014) 401-414. Preprint: arXiv 

25. P. van Meurs, A. Muntean and M. A. Peletier. "Upscaling of dislocation walls in finite domains" European Journal of Applied Mathematics 25(6) (2014) 749-781. link. Preprint: arXiv 

26. D. Bourne, T. Fatima, P. van Meurs and A. Muntean. "Is adding charcoal to soil a good method for CO2 sequestration?--Modeling a spatially homogeneous soil" Applied Mathematical Modelling 38(9) (2014) 2463-2475. link. Preprint: arXiv 

Peer-reviewed proceedings

1. P. van Meurs. "Convergence rates for discrete-to-continuum limits in 1D particle systems". Mathematical Analysis of Continuum Mechanics and Industrial Applications II: Proceedings of the international conference CoMFoS16, Springer Singapore, (2018) 181-193. link

2. P. van Meurs. "Bridging the scales between discrete and continuum dislocation models". Mathematical Analysis of Continuum Mechanics and Industrial Applications: Proceedings of the international conference CoMFoS15, Springer Singapore, (2017) 15–25. link

Proceedings from study groups

1. J. Bierkens, H. Blok, M. Heydenreich, R. Núñez Queija, P. van Meurs, F. Spieksma and J. Tuitman. "Estimates on Returnable Packaging Material". Proceedings of the 90th European Study Group Mathematics with Industry, 2013, (2014) 31-49. link (pdf)

2. P. J. De Andrade Serra, T. Fatima, A. Fernández, W. J. T. Hulshof, T. Khaniyev, P. J. P. van Meurs, J. Oosterwijk, S. Postma, V. Rottschäfer, L. Sewalt and F. Veerman. "Up and beyond: Building a mountain in the Netherlands". M. A. A. Boon (Ed.), Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012), (2013) 104-125. link (pdf)