Transition Threshold For The 3d Couette Flow In A Finite Channel
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Transition Threshold For The 3d Couette Flow In A Finite Channel
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Author : Qi Chen
language : en
Publisher: Ams American Mathematical Society
Release Date : 2024
Transition Threshold For The 3d Couette Flow In A Finite Channel written by Qi Chen and has been published by Ams American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Science categories.
"In this paper, we study nonlinear stability of the 3D plane Couette flow (y, 0, 0) at high Reynolds number Re in a finite channel T 1, 1 T. It is well known that the plane Couette flow is linearly stable for any Reynolds number. However, it could become nonlinearly unstable and transition to turbulence for small but finite perturbations at high Reynolds number. This is so-called Sommerfeld paradox. One resolution of this paradox is to study the transition threshold problem, which is concerned with how much disturbance will lead to the instability of the flow and the dependence of disturbance on the Reynolds number. This work shows that if the initial velocity v0 satisfies v0 (y, 0, 0) H2 c0Re 1 for some c0 0 independent of Re, then the solution of the 3D Navier-Stokes equations is global in time and does not transit away from the Couette flow in the L sense, and rapidly converges to a streak solution for t Re 1 3 due to the mixing-enhanced dissipation effect. This result confirms the threshold result obtained by Chapman via an asymptotic analysis(JFM 2002). The most key ingredient of the proof is the resolvent estimates for the full linearized 3D Navier-Stokes system around the flow (V (y, z), 0, 0), where V (y, z) is a small perturbation(but independent of Re) of y"--
Transition Threshold For The 3d Couette Flow In A Finite Channel
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Author : Qi Chen
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-15
Transition Threshold For The 3d Couette Flow In A Finite Channel written by Qi Chen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.
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Bilinear Estimates In The Presence Of A Large Potential And A Critical Nls In 3d
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Author : Fabio Pusateri
language : en
Publisher: American Mathematical Society
Release Date : 2024-08-19
Bilinear Estimates In The Presence Of A Large Potential And A Critical Nls In 3d written by Fabio Pusateri and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-19 with Mathematics categories.
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On Refined Conjectures Of Birch And Swinnerton Dyer Type For Hasse Weil Artin L Series
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Author : David Burns
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07
On Refined Conjectures Of Birch And Swinnerton Dyer Type For Hasse Weil Artin L Series written by David Burns and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
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Stratified Noncommutative Geometry
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Author : David Ayala
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07
Stratified Noncommutative Geometry written by David Ayala and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
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Cubical Models Of Infty 1 Categories
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Author : Brandon Doherty
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07
Cubical Models Of Infty 1 Categories written by Brandon Doherty and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
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Simple Supercuspidal L Packets Of Quasi Split Classical Groups
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Author : Masao Oi
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07
Simple Supercuspidal L Packets Of Quasi Split Classical Groups written by Masao Oi and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
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A Plethora Of Cluster Structures On Gl N
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Author : M. Gekhtman
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07
A Plethora Of Cluster Structures On Gl N written by M. Gekhtman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.
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On P Adic L Functions For Hilbert Modular Forms
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Author : John Bergdall
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-25
On P Adic L Functions For Hilbert Modular Forms written by John Bergdall and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-25 with Mathematics categories.
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On Singularity Properties Of Word Maps And Applications To Probabilistic Waring Type Problems
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Author : Itay Glazer
language : en
Publisher: American Mathematical Society
Release Date : 2024-08-19
On Singularity Properties Of Word Maps And Applications To Probabilistic Waring Type Problems written by Itay Glazer and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-19 with Mathematics categories.
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