Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Filters
























17 Hits in 5.3 sec

Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations [article]

Víctor Hernández-Santamaría, Liliana Peralta
2021 arXiv   pre-print

Preserved Fulltext

Web Archive Capture PDF (396.8 kB)
https://web.archive.org/web/20200321165834/https://arxiv.org/pdf/2003.01334v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:

2020 pre-print arXiv:2003.01334v1 fatcat:lab5sljjybhmjl4tqmrf5ijf6y
In this paper, we study some controllability and observability problems for stochastic systems coupling fourth- and second-order parabolic equations.  ...  The key point is to use suitable Carleman estimates for the heat equation and the fourth-order operator with the same weight to deduce an observability inequality for the adjoint system.  ...  This system consists of a Kuramoto-Sivashinsky-KdV (KS-KdV) equation linearly coupled to an extra dissipative equation.  ... 
arXiv:2003.01334v2 fatcat:yptmfczcmbdjxnqavujtvpgvby
Multiple Versions
Citation

Víctor Hernández-Santamaría, Liliana Peralta. "Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations." arXiv (2021)

Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem [article]

Bin Wu, Qun Chen, Zewen Wang
2020 arXiv   pre-print

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (375.1 kB)
https://web.archive.org/web/20200908152510/https://arxiv.org/pdf/1910.14561v2.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

Other Versions

2019 pre-print
arXiv:1910.14561v1 fatcat:soeubhc6hrdkdh63t7oyzxzuzu
Combining this Carleman estimate and an approximate argument, we prove the null controllability of the forward stochastic degenerate parabolic equation with the gradient term.  ...  The first one is for the backward stochastic degenerate parabolic equation with singular weight function.  ...  Gao, Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications, J. Math. Anal. Appl. 464 (2018) 725-748. [16] Y. Hu, S.  ... 
arXiv:1910.14561v2 fatcat:s4bbpaqn5fat3j6cx4oyrxwhmq
Multiple Versions
Citation

Bin Wu, Qun Chen, Zewen Wang. "Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem." arXiv (2020)

Null controllability for a class of stochastic singular parabolic equations with the convection term

Lin Yan, Bin Wu
2021 Discrete and continuous dynamical systems. Series B  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (441.9 kB)
https://web.archive.org/web/20210720171513/https://www.aimsciences.org/article/exportPdf?id=13e90ac0-2889-45ab-b03f-28cadc434cbd

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL. The file type is application/pdf.

Next we establish a new Carleman estimate for the backward stochastic singular parabolic equation with convection term and then an observability inequality for the adjoint system of the approximate system  ...  <p style='text-indent:20px;'>This paper concerns the null controllability for a class of stochastic singular parabolic equations with the convection term in one dimensional space.  ...  The authors would like to thank the anonymous referees for their valuable comments and suggestions, which make this paper much improved.  ... 
doi:10.3934/dcdsb.2021182 fatcat:moulkq2cz5hbzfmiq7zjk6m6pq
Citation

Lin Yan, Bin Wu. "Null controllability for a class of stochastic singular parabolic equations with the convection term." Discrete and continuous dynamical systems. Series B 0.0 (2021)

Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications

Peng Gao
2018 Evolution Equations and Control Theory  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (551.9 kB)
https://web.archive.org/web/20200309063956/https://www.aimsciences.org/article/exportPdf?id=2aa71f5d-2eef-473f-b947-f4dd1b522c68

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

and the exact controllability for the forward and backward stochastic fourth order Schrödinger equations. 2000 Mathematics Subject Classification.  ...  In this paper, we establish the Carleman estimates for forward and backward stochastic fourth order Schrödinger equations, on basis of which, we can obtain the observability, unique continuation property  ...  I would like to thank the referee and the editor for their careful comments and useful suggestions. I sincerely thank Professor Yong Li for many useful suggestions and help.  ... 
doi:10.3934/eect.2018023 fatcat:vglibwfbyfg5xjejzrgaqyz6ay
Citation

Peng Gao. "Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications." Evolution Equations and Control Theory 7.3 (2018) 465-499

A concise introduction to control theory for stochastic partial differential equations

Qi Lü, Xu Zhang
2021 Mathematical Control and Related Fields  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (1.2 MB)
https://web.archive.org/web/20210327082322/https://www.aimsciences.org/article/exportPdf?id=22b8736b-3bfe-43b6-8471-bdf788419997

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL. The file type is application/pdf.

For the first one, we present results for the exact controllability of stochastic transport equations, null and approximate controllability of stochastic parabolic equations and lack of exact controllability  ...  For the second one, we first introduce the stochastic linear quadratic optimal control problems and then the Pontryagin type maximum principle for general optimal control problems.  ...  This is a lecture notes of "a concise introduction to control theory for stochastic partial differential equations".  ... 
doi:10.3934/mcrf.2021020 fatcat:pqnoaicuqvbzzdoiwgihtutc6e
Citation

Qi Lü, Xu Zhang. "A concise introduction to control theory for stochastic partial differential equations." Mathematical Control and Related Fields (2021)

Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications [article]

Peng Gao
2017 arXiv   pre-print

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (361.9 kB)
https://web.archive.org/web/20200927211808/https://arxiv.org/pdf/1703.03629v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

and the exact controllability for the forward and backward stochastic fourth order Schrödinger equations.  ...  In this paper, we establish the Carleman estimates for forward and backward stochastic fourth order Schrödinger equations, on basis of which, we can obtain the observability, unique continuation property  ...  The Carleman estimates for stochastic heat equation, stochastic wave equation, stochastic Korteweg-de Vries equation, stochastic Kuramoto-Sivashinsky equation, stochastic Kawahara equation and stochastic  ... 
arXiv:1703.03629v1 fatcat:iietkvdpifflvndicdsn3lkgkq
Citation

Peng Gao. "Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications." arXiv (2017)

Exact Controllability for a Refined Stochastic Wave Equation [article]

Qi Lü, Xu Zhang
2019 arXiv   pre-print

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (325.2 kB)
https://web.archive.org/web/20200829132430/https://arxiv.org/pdf/1901.06074v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

By means of a new global Carleman estimate, we establish the exact controllability of our stochastic wave equation with three controls.  ...  We show that this equation is not exactly controllable even if the controls are effective everywhere in both the drift and the diffusion terms and also on the boundary.  ...  In this respect, we refer to [3, 8, 11, 15, 18, 27] for some results on the controllability of stochastic parabolic, complex Ginzburg-Landau, Kuramoto-Sivashinsky, Schrödinger and transport equations  ... 
arXiv:1901.06074v1 fatcat:xm7aphpq2vfy7av7rm3kfewd4y
Citation

Qi Lü, Xu Zhang. "Exact Controllability for a Refined Stochastic Wave Equation." arXiv (2019)

Covariant Lyapunov vectors

Francesco Ginelli, Hugues Chaté, Roberto Livi, Antonio Politi
2013 Journal of Physics A: Mathematical and Theoretical  

Preserved Fulltext

File Archive PDF (487.6 kB)
https://archive.org/download/arxiv-1212.3961/1212.3961.pdf

The Internet Archive has a preservation copy of this work in our general collections. The file type is application/pdf.

Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:

2012 pre-print arXiv:1212.3961v1 fatcat:mojpqqma3bghznryx66exbhwii
Here we review the basic results of ergodic theory, with a specific reference to the implications of Oseledets' theorem for the properties of the CLVs.  ...  We also discuss its numerical performance and compare it with other algorithms presented in literature.  ...  Pikovsky and M. Sala for enlightening discussions.  ... 
doi:10.1088/1751-8113/46/25/254005 fatcat:rainqzqcnfazbd2x7bzktfpqlq
Szczepanski Multiple Versions
Citation

Francesco Ginelli, Hugues Chaté, Roberto Livi, Antonio Politi. "Covariant Lyapunov vectors." Journal of Physics A: Mathematical and Theoretical 46.25 (2013) 254005

Variational approach to closure of nonlinear dynamical systems: Autonomous case [article]

Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
2019 arXiv   pre-print

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (10.0 MB)
https://web.archive.org/web/20200929060915/https://arxiv.org/pdf/1912.00394v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

The approach is finally illustrated — in the context of the Kuramoto-Sivashinsky turbulence — as providing efficient closures without slaving for a cutoff scale k_c placed within the inertial range and  ...  Applications to the closure of low-order models of Atmospheric Primitive Equations and Rayleigh-Bénard convection are then discussed.  ...  closure of a stochastic Burgers equation in [CLW15b, Chaps. 6 & 7] and to optimal control in [CL15a] .  ... 
arXiv:1912.00394v1 fatcat:y724nt64rzajpifqe7rrtbdc3u
Citation

Mickaël D. Chekroun, Honghu Liu, James C. McWilliams. "Variational approach to closure of nonlinear dynamical systems: Autonomous case." arXiv (2019)

On recent progress for the stochastic Navier Stokes equations

Jonathan Mattingly
2003 Journées Équations aux dérivées partielles  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (691.4 kB)
https://web.archive.org/web/20170922083436/http://www.numdam.org/article/JEDP_2003____A11_0.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL. The file type is application/pdf.

We give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations  ...  Spatial regularity, ergodicity, exponential mixing, coupling for a SPDE, and hypoellipticity are all discussed.  ...  I also thank Persi Diaconis, Amir Dembo, and George Papanicolaou for useful discussions when I first worked to understand the remaining needed estimates during my early days at Stanford.  ... 
doi:10.5802/jedp.625 fatcat:omxukz5hh5cb3hzsz7vhcg4rja
Szczepanski
Citation

Jonathan Mattingly. "On recent progress for the stochastic Navier Stokes equations." Journées Équations aux dérivées partielles (2003) 1-52

On Recent Progress for the Stochastic Navier Stokes Equations [article]

Jonathan C. Mattingly
2004 arXiv   pre-print

Preserved Fulltext

File Archive PDF (526.2 kB)
https://archive.org/download/arxiv-math0409194/math0409194.pdf

The Internet Archive has a preservation copy of this work in our general collections. The file type is application/pdf.

We give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations  ...  Spatial regularity, ergodicity, exponential mixing, coupling for a SPDE, and hypoellipticity are all discussed.  ...  The stochastic Kuramoto-Sivashinsky equation requires localization ideas not based on a straight forward Lyapunov function. The details are explained fully in [EL02] .  ... 
arXiv:math/0409194v1 fatcat:7x6cjg5eazfn5gqq66d5ze2fa4
Citation

Jonathan C. Mattingly. "On Recent Progress for the Stochastic Navier Stokes Equations." arXiv (2004)

Adjoint chaos via cumulant truncation [article]

John Craske
2018 arXiv   pre-print

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (486.2 kB)
https://web.archive.org/web/20200901012308/https://arxiv.org/pdf/1806.09503v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL. The file type is application/pdf.

The resulting forward and adjoint systems yield information about gradients of functionals of the system and do not suffer from the convergence issues that are associated with the tangent linear representation  ...  We describe a simple and systematic method for obtaining approximate sensitivity information from a chaotic dynamical system using a hierarchy of cumulant equations.  ...  The work benefited from discussions with Davide Lasagna at a SIG meeting for Flow Modelling, Instability and Control on March 29-30 2017, as part of the UK Fluids Network (EP/N032861/1).  ... 
arXiv:1806.09503v1 fatcat:wccf5zg7s5gbrpo6g62sww2d7q
Citation

John Craske. "Adjoint chaos via cumulant truncation." arXiv (2018)

Variational framework for flow optimization using seminorm constraints

D. P. G. Foures, C. P. Caulfield, P. J. Schmid
2012 Physical Review E  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (1.5 MB)
https://web.archive.org/web/20190413165320/https://core.ac.uk/download/pdf/52899802.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL. The file type is application/pdf.

Other Versions

2012 pre-print
arXiv:1202.0650v1 fatcat:2fxeyzldanfgpp4r4zupxf3lfm
We believe this work has a lot of potential applications in the fluid dynamics domain for problems in which we want to control the influence of separate components of the state vector in the optimization  ...  We first derive this framework extension, and then apply it to a problem of interest.  ...  Furthermore, it has been shown that there exists an equivalence between the Kuramoto-Sivashinsky equation (which is one of the more famous one-dimensional turbulence model equations [18] ) and such a  ... 
doi:10.1103/physreve.86.026306 pmid:23005853 fatcat:extibki6wffqxijl3quqjug2gy
Multiple Versions
Citation

D. P. G. Foures, C. P. Caulfield, P. J. Schmid. "Variational framework for flow optimization using seminorm constraints." Physical Review E 86.2 (2012)

How Temporal Unrolling Supports Neural Physics Simulators [article]

Bjoern List, Li-Wei Chen, Kartik Bali, Nils Thuerey
2024 arXiv   pre-print

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (10.5 MB)
https://web.archive.org/web/20240308010919/https://arxiv.org/pdf/2402.12971v1.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2024; you can also visit the original URL. The file type is application/pdf.

We also observe that the convergence rate of common neural architectures is low compared to numerical algorithms.  ...  It provides an empirical basis for our main findings: A non-differentiable but unrolled training setup supported by a numerical solver can yield 4.5-fold improvements over a fully differentiable prediction  ...  Code Availablility The code for the project is available at https://github.com/tum-pbs/unrolling.  ... 
arXiv:2402.12971v1 fatcat:245ha3grenh4lbej544ufmhq74
Open Access
Citation

Bjoern List, Li-Wei Chen, Kartik Bali, Nils Thuerey. "How Temporal Unrolling Supports Neural Physics Simulators." arXiv (2024)

Three-dimensional point-cloud room model in room acoustics simulations

Milos Markovic, So/ren K. Olesen, Dorte Hammersho/i
2013 Journal of the Acoustical Society of America  

Preserved Fulltext

fulltext thumbnail
Web Archive Capture PDF (991.1 kB)
https://web.archive.org/web/20180719230057/http://vbn.aau.dk/ws/files/78642238/JAS003489.pdf

A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL. The file type is application/pdf.

Actually, backward and forward rounded-off step waves are observed.  ...  Its low-and high-frequency limits correspond to the Kuramoto-Sivashinsky equation and the Burgers equation with a source, respectively.  ...  Optimal estimates and marginal posterior probability distributions for source locations are computed employing a variety of sampling approaches.  ... 
doi:10.1121/1.4806371 fatcat:ln4w6j7cjvchrckf2gzfmeiwoi
Citation

Milos Markovic, So/ren K. Olesen, Dorte Hammersho/i. "Three-dimensional point-cloud room model in room acoustics simulations." Journal of the Acoustical Society of America 133.5 (2013) 3532-3532

« Previous Showing results 1 — 15 out of 17 results