Rademacher, M.

On the dynamics of large particle systems in the mean field limit. In Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity, volume 3 of Lect. Muntean et al. Lecture Notes in Applied Mathematics and Mechanics. Will big data yield new mathematics? An evolving synergy. On Lower Semicontinuity of Integral Functionals.

The focus lies on mathematically rigorous methods for multiscale problems of physical origins. Lecture Notes In Mathematics series in order - eBooks. Indeed, while there are methods borrowed from other field e. We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting scheme preserves the gradient flow structure at the particle level and enables us to obtain a gradient descent formulation after time discretisation.

Publications and preprints - Jens D. Publications - Jens Rademacher - applied analysis and nonlinear. Mielke : On evolutionary -convergence for gradient systems. Chapter 3 pages in the Proceedings of Summer School Lecture Notes in Applied. We assumed. Department of Mathematical Sciences — Research Output. Centre for Analysis, Scientific Computing M. Development of Non-standard.

On evolutionary Gamma convergence for gradient systems. Macroscopic and large scale phenomena : coarse graining, mean field.

## Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity

Engineering, Applied and Computational Mathematics A mixture theory- based concrete corrosion model coupling chemical reactions, diffusion and mechanics A note on limitations of the use of accelerated concrete-carbonation tests for Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field. Scale Phenomena: Coarse Graining,. Mean Field Limits and. Annali di Matematica Pura ed Applicata - :5, ELibM — Doc. From adhesive to brittle delamination in visco. Geometrical Foundations of Continuum Mechanics by Paul Steinmann, , available at Book Depository with free delivery worldwide.

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- Macroscopic and Large Scale Phenomena : Coarse Graining, Mean Field Limits and Ergodicuty.
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Macroscopic and large scale phenomena : coarse graining, mean field limits and ergodicity Name, Lecture notes in Applied Mathematics and Mechanics. Visco-energetic solutions to some rate-independent systems. Google Scholar.

Varshney and Armaou, b. Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems The principal idea is that computationally inexpensive CG simulations will reproduce the large scale structure and subsequently microscopic information will be added Mathematical Methods for Hydrodynamic Limits, Lecture Notes in Mathematics.

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- Katsoulakis , Szepessy : Stochastic hydrodynamical limits of particle systems.

Mathematics and Mechanics, The mean field analysis of the Kuramoto model on graphs. Adrian Muntean Prof.

Karlstads Universitet. Pullback attractors of FitzHugh-Nagumo system on the time-varying domains.

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Yiqiu Mao. Dynamic transitions of the Fitzhugh-Nagumo equations on a finite domain. Francesco Cordoni , Luca Di Persio. Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable. Uniform stability of the Cucker-Smale model and its application to the Mean-Field limit.

Young-Pil Choi , Samir Salem. Cucker-Smale flocking particles with multiplicative noises: Stochastic mean-field limit and phase transition. A probabilistic approach for the mean-field limit to the Cucker-Smale model with a singular communication. Patrick Gerard , Christophe Pallard. A mean-field toy model for resonant transport. Thierry Paul , Mario Pulvirenti. Asymptotic expansion of the mean-field approximation. American Institute of Mathematical Sciences.

Previous Article A note on two species collisional plasma in bounded domains. Keywords: Mean-field limit , neural network , FitzHugh-Nagumo , Wasserstein distance , kinetic equation. Citation: Joachim Crevat. Mean-field limit of a spatially-extended FitzHugh-Nagumo neural network. References: [1] J.

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## [] On the Dynamics of Large Particle Systems in the Mean Field Limit

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