Transition Threshold for the 3D Couette Flow in a Finite Channel

Häftad, Engelska, 2024

Del i serien Memoirs of the American Mathematical Society

1 023 kr

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Beskrivning

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Produktinformation

Utgivningsdatum:2024-06-30
Mått:178 x 254 x undefined mm
Vikt:272 g
Format:Häftad
Språk:Engelska
Serie:Memoirs of the American Mathematical Society
Antal sidor:178
Förlag:American Mathematical Society
ISBN:9781470468958

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Qi Chen, Zhejiang University, Hangzhou, People's Republic of China, Dongyi Wei, Peking University, Beijing, People's Republic of China, and Zhifei Zhang, Peking University, Beijing, People's Republic of China.

Innehållsförteckning

1. Introduction2. Linear and nonlinear mechanisms affecting the threshold3. Key ideas and sketch of the proof4. Resolvent estimates with Navier-slip boundary condition5. $L^p$ estimate of the solutions for the homogeneous OS6. Resolvent estimates via the Neumann boundary data7. Resolvent estimates when $V=y$8. Space-time estimates of the linearized equation9. Resolvent estimates for the simplified linearized NS system10. Resolvent estimates for the full linearized NS system11. Nonlinear interactions12. Energy estimates for zero mode13. Energy estimates for nonzero modes:semi-linear part14. Energy estimates for nonzero modes:quasi-linear part15. Global stability and long-time behavior

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Transition Threshold for the 3D Couette Flow in a Finite Channel

AvQi Chen,Dongyi Wei

Häftad, Engelska, 2024

Del i serien Memoirs of the American Mathematical Society

1 023 kr

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Beskrivning

Produktinformation

Utgivningsdatum:2024-06-30
Mått:178 x 254 x undefined mm
Vikt:272 g
Format:Häftad
Språk:Engelska
Serie:Memoirs of the American Mathematical Society
Antal sidor:178
Förlag:American Mathematical Society
ISBN:9781470468958

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Innehållsförteckning

1. Introduction2. Linear and nonlinear mechanisms affecting the threshold3. Key ideas and sketch of the proof4. Resolvent estimates with Navier-slip boundary condition5. $L^p$ estimate of the solutions for the homogeneous OS6. Resolvent estimates via the Neumann boundary data7. Resolvent estimates when $V=y$8. Space-time estimates of the linearized equation9. Resolvent estimates for the simplified linearized NS system10. Resolvent estimates for the full linearized NS system11. Nonlinear interactions12. Energy estimates for zero mode13. Energy estimates for nonzero modes:semi-linear part14. Energy estimates for nonzero modes:quasi-linear part15. Global stability and long-time behavior

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