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Ecological Management and Sustainable Development of Forests
| Ecological Management and Sustainable Development of Forests |
| Autore | Wang Chao |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2024 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910978354903321 |
Wang Chao
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| MDPI - Multidisciplinary Digital Publishing Institute, 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
| Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary |
| Autore | Wang Chao |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (132 pages) |
| Disciplina | 532 |
| Altri autori (Persone) |
ZhangZhifei
ZhaoWeiren |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Fluid mechanics |
| ISBN |
9781470465247
1470465248 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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. 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. |
| Record Nr. | UNINA-9910970827103321 |
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Wang Chao
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of Translation Closedness for Time Scales [[electronic resource] ] : With Applications in Translation Functions and Dynamic Equations / / by Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel
| Theory of Translation Closedness for Time Scales [[electronic resource] ] : With Applications in Translation Functions and Dynamic Equations / / by Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel |
| Autore | Wang Chao |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVI, 577 p. 17 illus., 8 illus. in color.) |
| Disciplina | 511 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Difference equations
Functional equations Harmonic analysis Mathematical models Functions of real variables Difference and Functional Equations Abstract Harmonic Analysis Mathematical Modeling and Industrial Mathematics Real Functions |
| ISBN | 3-030-38644-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Preliminaries and Basic Knowledge on Time Scales -- A Classification of Closedness of Time Scales under Translations -- Almost Periodic Functions and Generalizations on Complete-Closed Time Scales -- Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales -- Almost Automorphic Functions and Generalizations on Translation Time Scales -- Nonlinear Dynamic Equations on Translation Time Scales -- Impulsive Dynamic Equations on Translation Time Scales -- Almost Automorphic Dynamic Equations on Translation Time Scales -- Analysis of Dynamical System Models on Translation Time Scales -- Index. |
| Record Nr. | UNISA-996418267303316 |
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Wang Chao
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Theory of Translation Closedness for Time Scales : With Applications in Translation Functions and Dynamic Equations / / by Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel
| Theory of Translation Closedness for Time Scales : With Applications in Translation Functions and Dynamic Equations / / by Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel |
| Autore | Wang Chao |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XVI, 577 p. 17 illus., 8 illus. in color.) |
| Disciplina | 511 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Difference equations
Functional equations Harmonic analysis Mathematical models Functions of real variables Difference and Functional Equations Abstract Harmonic Analysis Mathematical Modeling and Industrial Mathematics Real Functions |
| ISBN | 3-030-38644-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Preliminaries and Basic Knowledge on Time Scales -- A Classification of Closedness of Time Scales under Translations -- Almost Periodic Functions and Generalizations on Complete-Closed Time Scales -- Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales -- Almost Automorphic Functions and Generalizations on Translation Time Scales -- Nonlinear Dynamic Equations on Translation Time Scales -- Impulsive Dynamic Equations on Translation Time Scales -- Almost Automorphic Dynamic Equations on Translation Time Scales -- Analysis of Dynamical System Models on Translation Time Scales -- Index. |
| Record Nr. | UNINA-9910481959703321 |
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Wang Chao
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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