Corrector estimates for elliptic systems with random periodic coefficients
P Bella, F Otto�- Multiscale Modeling & Simulation, 2016 - SIAM
… corrector equation for the second order elliptic system on the ddimensional torus of size L (d
≥ 2), associated with random coefficients A … the gradient of the corrector, independent of the …
≥ 2), associated with random coefficients A … the gradient of the corrector, independent of the …
Corrector estimates for elliptic systems with random periodic coefficients
P Bella, F Otto�- arXiv preprint arXiv:1409.5271, 2014 - arxiv.org
… We consider an elliptic system of equations on the torus [−L … we consider the case of
random but periodic A. In this case the corrector is defined as a periodic solution on the torus with …
random but periodic A. In this case the corrector is defined as a periodic solution on the torus with …
Lipschitz regularity for elliptic equations with random coefficients
SN Armstrong, JC Mourrat�- Archive for Rational Mechanics and Analysis, 2016 - Springer
… elliptic systems. Finally, we point out that the arguments leading to the Lipschitz estimate (…
of the approximate correctors for linear elliptic systems using concentration inequalities, and …
of the approximate correctors for linear elliptic systems using concentration inequalities, and …
A regularity theory for random elliptic operators
… -Zygmund estimates) to elliptic systems with random coefficients. The scale at which this …
of corrector to the random setting: Roughly speaking, if a denotes a random coefficient field, …
of corrector to the random setting: Roughly speaking, if a denotes a random coefficient field, …
A regularity theory for random elliptic operators
… and Calder�n-Zygmund estimates) to elliptic systems with random coefficients. The scale at
… of corrector to the random setting: Roughly speaking, if a denotes a random coefficient field, …
… of corrector to the random setting: Roughly speaking, if a denotes a random coefficient field, …
Bounded correctors in almost periodic homogenization
… elliptic equations (and systems) in divergence form with almost periodic coefficients have
bounded, almost periodic … elliptic equations with almost periodic coefficients, taking the form …
bounded, almost periodic … elliptic equations with almost periodic coefficients, taking the form …
Boundary estimates and Green function's expansion for elliptic systems with random coefficients
L Wang, Q Xu�- arXiv preprint arXiv:2402.18907, 2024 - arxiv.org
… To obtain an almost sharp decay estimate, we resort to boundary correctors, which in turn …
The subject matter of this paper concerns elliptic systems; however, for the sake of clarity in the …
The subject matter of this paper concerns elliptic systems; however, for the sake of clarity in the …
[HTML][HTML] Normal approximation for a random elliptic equation
J Nolen�- Probability Theory and Related Fields, 2014 - Springer
… true correctors by solving (1.1) in a bounded domain \(D_L\) with suitable boundary condition.
The periodic … of the effective coefficient \(\bar{a}\) in the limit \(L \rightarrow \infty \) [6, 19]. …
The periodic … of the effective coefficient \(\bar{a}\) in the limit \(L \rightarrow \infty \) [6, 19]. …
Random integrals and correctors in homogenization
… The random coefficients for the elliptic equation we consider in this paper are mean zero …
For the random coefficients described above, we show that the corrector to homogenization has …
For the random coefficients described above, we show that the corrector to homogenization has …
Quantitative estimates in stochastic homogenization of elliptic equations and systems
N Clozeau - 2021 - theses.hal.science
… from quantitative estimates for linear elliptic systems with strongly correlated coefficient fields…
This perturbative regime allows us to linearise the problem with repsect to δ in the corrector …
This perturbative regime allows us to linearise the problem with repsect to δ in the corrector …