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1

Local martingale and pathwise solutions for an abstract fluids model

Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam

Journal:

Physica D: Nonlinear Phenomena

Year:

2011

Language:

english

File:

PDF, 389 KB

english, 2011

2

Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

Constantin, Peter, Glatt-Holtz, Nathan, Vicol, Vlad

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 498 KB

english, 2014

3

Discussion

Glatt-Holtz, Nathan, Kukavica, Igor, Vicol, Vlad, Ziane, Mohammed

Journal:

IEEE Transactions on Power Systems

Year:

1987

Language:

english

File:

PDF, 203 KB

english, 1987

4

On Inviscid Limits for the Stochastic Navier–Stokes Equations and Related Models

Glatt-Holtz, Nathan, Šverák, Vladimír, Vicol, Vlad

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 410 KB

english, 2015

5

Ergodic and mixing properties of the Boussinesq equations with a degenerate random forcing

Földes, Juraj, Glatt-Holtz, Nathan, Richards, Geordie, Thomann, Enrique

Journal:

Journal of Functional Analysis

Year:

2015

Language:

english

File:

PDF, 1.26 MB

english, 2015

6

On Unique Ergodicity in Nonlinear Stochastic Partial Differential Equations

Nathan Glatt-Holtz,Jonathan C. Mattingly…

Journal:

Journal of Statistical Physics

Year:

2017

Language:

english

File:

PDF, 748 KB

english, 2017

7

Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations

Glatt-Holtz, Nathan E., Herzog, David P., Mattingly, Jonathan C.

Journal:

Year:

2018

Language:

english

File:

PDF, 1.56 MB

english, 2018

8

GPU-accelerated particle methods for evaluation of sparse observations for inverse problems constrained by diffusion PDEs

Borggaard, Jeff, Glatt-Holtz, Nathan, Krometis, Justin

Journal:

Journal of Computational Physics

Year:

2019

Language:

english

File:

PDF, 7.09 MB

english, 2019

9

Parameter estimation for the stochastically perturbed Navier–Stokes equations

Igor Cialenco, Nathan Glatt-Holtz

Journal:

Stochastic Processes and their Applications

Year:

2011

Language:

english

File:

PDF, 307 KB

english, 2011

10

Pathwise Solutions of the 2-D Stochastic Primitive Equations

Nathan Glatt-Holtz, Roger Temam

Journal:

Applied Mathematics & Optimization

Year:

2011

Language:

english

File:

PDF, 1.01 MB

english, 2011

11

Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications

Mickaël D. Chekroun, Nathan E. Glatt-Holtz

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 503 KB

english, 2012

12

Cauchy convergence schemes for some nonlinear partial differential equations

Glatt-Holtz, Nathan, Temam, Roger

Journal:

Applicable Analysis

Year:

2011

Language:

english

File:

PDF, 199 KB

english, 2011

13

Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations

Glatt-Holtz, Nathan, Kukavica, Igor, Vicol, Vlad, Ziane, Mohammed

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 604 KB

english, 2014

14

Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise

Glatt-Holtz, Nathan E., Vicol, Vlad C.

Journal:

The Annals of Probability

Year:

2014

Language:

english

File:

PDF, 609 KB

english, 2014

15

Time discrete approximation of weak solutions to stochastic equations of geophysical fluid dynamics and applications

Glatt-Holtz, Nathan, Temam, Roger, Wang, Chuntian

Journal:

Chinese Annals of Mathematics, Series B

Year:

2017

Language:

english

File:

PDF, 499 KB

english, 2017

16

Asymptotic Analysis for Randomly Forced MHD

Földes, Juraj, Friedlander, Susan, Glatt-Holtz, Nathan, Richards, Geordie

Journal:

SIAM Journal on Mathematical Analysis

Year:

2017

Language:

english

File:

PDF, 363 KB

english, 2017

17

Inviscid limits for a stochastically forced shell model of turbulent flow

Friedlander, Susan, Glatt-Holtz, Nathan, Vicol, Vlad

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2016

File:

PDF, 420 KB

2016

18

GPU-accelerated particle methods for evaluation of sparse observations for inverse problems constrained by diffusion PDEs

Borggaard, Jeff, Glatt-Holtz, Nathan, Krometis, Justin

Journal:

Journal of Computational Physics

Year:

2019

File:

PDF, 7.09 MB

2019

19

Invariant Measures for the Stochastic One-Dimensional Compressible Navier–Stokes Equations

Coti Zelati, Michele, Glatt-Holtz, Nathan, Trivisa, Konstantina

Journal:

Applied Mathematics & Optimization

Year:

2019

Language:

english

File:

PDF, 495 KB

english, 2019

20

Large Prandtl number asymptotics in randomly forced turbulent convection

Földes, Juraj, Glatt-Holtz, Nathan E., Richards, Geordie

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2019

Language:

english

File:

PDF, 731 KB

english, 2019

21

Large Prandtl number asymptotics in randomly forced turbulent convection

Földes, Juraj, Glatt-Holtz, Nathan E., Richards, Geordie

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2019

File:

PDF, 731 KB

2019

22

The generalized Langevin equation with power-law memory in a nonlinear potential well

Glatt-Holtz, Nathan E, Herzog, David P, McKinley, Scott A, Nguyen, Hung D

Journal:

Year:

2020

File:

PDF, 1.92 MB

2020

23

A Bayesian Approach to Estimating Background Flows from a Passive Scalar

Borggaard, Jeff, Glatt-Holtz, Nathan, Krometis, Justin

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2020

File:

PDF, 9.09 MB

2020

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