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1. |
Record Nr. |
UNINA990002651860403321 |
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Titolo |
Sette chiavi per il futuro : nuovo materiali e tecnologie per il 2000.basato sui rapporti dello Stanford Research Institute / di F a bio Magrino |
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Pubbl/distr/stampa |
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Milano : Il Sole 24 ore, 1988 8 |
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Descrizione fisica |
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Lingua di pubblicazione |
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Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNINA9910970827103321 |
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Autore |
Wang Chao |
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Titolo |
Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2021 |
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©2021 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (132 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.270 |
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Altri autori (Persone) |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Cover -- Title page -- Chapter 1. Introduction -- 1.1. Presentation of the problem -- 1.2. Some known results -- 1.3. Main results -- 1.4. Main ideas -- Chapter 2. Tools of paradifferential operators -- 2.1. |
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Paradifferential operators -- 2.2. Functional spaces -- 2.3. Symbolic calculus -- 2.4. Tame estimates in Sobolev space -- 2.5. Tame estimates in Chemin-Lerner spaces -- 2.6. Commutator estimates -- Chapter 3. Parabolic evolution equation -- Chapter 4. Elliptic estimates in a strip -- 4.1. Elliptic boundary problem -- 4.2. Flattening the boundary and paralinearization -- 4.3. Elliptic estimates in Sobolev space -- 4.4. Tame elliptic estimates -- 4.5. Elliptic estimates in Besov space -- 4.6. Interior ^{1, } estimate -- Chapter 5. Dirichlet-Neumann operator -- 5.1. Definition and paralinearization -- 5.2. Sobolev estimate of the remainder -- 5.3. Tame estimate of the remainder -- 5.4. Hölder estimate of the remainder -- Chapter 6. New formulation and paralinearization -- 6.1. New formulation -- 6.2. Paralinearization -- Chapter 7. Estimate of the pressure -- 7.1. ² estimate of the pressure -- 7.2. Hölder estimate of the pressure -- 7.3. Sobolev estimate of the pressure -- 7.4. Estimate of -- Chapter 8. Estimate of the velocity -- 8.1. Sobolev estimate of the velocity -- 8.2. The estimate of the irrotational part -- 8.3. The estimate of the rotational part -- Chapter 9. Proof of break-down criterion -- 9.1. The ¹ energy estimate -- 9.2. Energy estimate of the trace of the velocity and the free surface -- 9.3. Energy estimate of the vorticity -- 9.4. Nonlinear estimates -- 9.5. Energy functional -- 9.6. Proof of Theorem 1.3 -- Chapter 10. Iteration scheme -- 10.1. Strategy -- 10.2. Iteration scheme -- 10.3. Existence of iteration scheme -- Chapter 11. Uniform energy estimates -- 11.1. Set-up -- 11.2. Energy functional. |
11.3. Estimate of the velocity -- 11.4. Estimate of the pressure -- 11.5. Estimates of the remainder of DN operator -- 11.6. Energy estimates -- 11.7. Nonlinear estimates -- 11.8. Completion of the uniform estimate -- Chapter 12. Cauchy sequence and the limit system -- 12.1. Set-up -- 12.2. Elliptic estimates with a parameter -- 12.3. Energy estimates -- 12.4. The limit system -- Chapter 13. From the limit system to the Euler equations -- Chapter 14. Proof of Theorem 1.1 -- 14.1. Construction of approximate smooth solution -- 14.2. Uniform estimates and existence -- 14.3. Uniqueness of the solution -- Acknowledgement -- Bibliography -- Back Cover. |
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Sommario/riassunto |
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"In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Lipschitz function and the free surface belongs to C 3 2+. Moreover, we also present a Beale-Kato-Majda type break-down criterion of smooth solution in terms of the mean curvature of the free surface, the gradient of the velocity and Taylor sign condition"-- |
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3. |
Record Nr. |
UNINA9911018759103321 |
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Autore |
Huang De-Shuang |
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Titolo |
Advanced Intelligent Computing Technology and Applications : 21st International Conference, ICIC 2025, Ningbo, China, July 26–29, 2025, Proceedings, Part XII / / edited by De-Shuang Huang, Qinhu Zhang, Chuanlei Zhang, Wei Chen |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
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ISBN |
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9789819698943 |
9789819698936 |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (895 pages) |
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Collana |
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Lecture Notes in Computer Science, , 1611-3349 ; ; 15853 |
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Altri autori (Persone) |
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ZhangQinhu |
ZhangChuanlei |
ChenWei |
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Disciplina |
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Soggetti |
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Computational intelligence |
Computer networks |
Machine learning |
Application software |
Computational Intelligence |
Computer Communication Networks |
Machine Learning |
Computer and Information Systems Applications |
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Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This 40-volume set LNCS 15842-15869 constitutes -the refereed proceedings of the 20th International Conference on Intelligent Computing, ICIC 2025, held in Ningbo, China, in July 2025. |
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