[图书][B] Quantitative stochastic homogenization and large-scale regularity
The focus of this book is the large-scale statistical behavior of solutions of divergence-form
elliptic equations with random coefficients, which is closely related to the long-time …
elliptic equations with random coefficients, which is closely related to the long-time …
Lectures on Coulomb and Riesz gases
S Serfaty - arXiv preprint arXiv:2407.21194, 2024 - arxiv.org
arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …
Sylvia Serfaty arXiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …
[图书][B] Periodic homogenization of elliptic systems
Z Shen - 2018 - Springer
Periodic Homogenization of Elliptic Systems Page 1 Operator Theory Advances and
Applications 269 Zhongwei Shen Periodic Homogenization of Elliptic Systems Page 2 Page 3 …
Applications 269 Zhongwei Shen Periodic Homogenization of Elliptic Systems Page 2 Page 3 …
Quantitative results on the corrector equation in stochastic homogenization
A Gloria, F Otto - Journal of the European mathematical society, 2017 - ems.press
Quantitative results on the corrector equation in stochastic homogenization Page 1 DOI
10.4171/JEMS/745 J. Eur. Math. Soc. 19, 3489–3548 c European Mathematical Society 2017 …
10.4171/JEMS/745 J. Eur. Math. Soc. 19, 3489–3548 c European Mathematical Society 2017 …
The additive structure of elliptic homogenization
One of the principal difficulties in stochastic homogenization is transferring quantitative
ergodic information from the coefficients to the solutions, since the latter are nonlocal …
ergodic information from the coefficients to the solutions, since the latter are nonlocal …
[HTML][HTML] Representative volume elements for matrix-inclusion composites-a computational study on the effects of an improper treatment of particles intersecting the …
M Schneider, M Josien, F Otto - Journal of the Mechanics and Physics of …, 2022 - Elsevier
We investigate volume-element sampling strategies for the stochastic homogenization of
particle-reinforced composites and show, via computational experiments, that an improper …
particle-reinforced composites and show, via computational experiments, that an improper …
Lipschitz regularity for elliptic equations with random coefficients
SN Armstrong, JC Mourrat - Archive for Rational Mechanics and Analysis, 2016 - Springer
We develop a higher regularity theory for general quasilinear elliptic equations and systems
in divergence form with random coefficients. The main result is a large-scale L∞-type …
in divergence form with random coefficients. The main result is a large-scale L∞-type …
A regularity theory for random elliptic operators
Since the seminal results by Avellaneda & Lin it is known that elliptic operators with periodic
coefficients enjoy the same regularity theory as the Laplacian on large scales. In a recent …
coefficients enjoy the same regularity theory as the Laplacian on large scales. In a recent …
Lipschitz estimates in almost‐periodic homogenization
SN Armstrong, Z Shen - Communications on pure and applied …, 2016 - Wiley Online Library
We establish uniform Lipschitz estimates for second‐order elliptic systems in divergence
form with rapidly oscillating, almost‐periodic coefficients. We give interior estimates as well …
form with rapidly oscillating, almost‐periodic coefficients. We give interior estimates as well …
A regularity theory for random elliptic operators
Since the seminal results by Avellaneda\& Lin it is known that elliptic operators with periodic
coefficients enjoy the same regularity theory as the Laplacian on large scales. In a recent …
coefficients enjoy the same regularity theory as the Laplacian on large scales. In a recent …