Recent progress in the theory of the Euler and Navier-Stokes equations:
The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of revi...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schriftenreihe: | London Mathematical Society lecture note series
430 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 07 Jan 2016) |
| Beschreibung: | 1 online resource (xiii, 232 pages) |
| ISBN: | 9781316407103 |
| DOI: | 10.1017/CBO9781316407103 |
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| 505 | 8 | |a Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito | |
| 520 | |a The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers | ||
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| bvnumber | BV043940351 |
| classification_rvk | SI 320 SK 540 |
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| contents | Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito |
| ctrlnum | (ZDB-20-CBO)CR9781316407103 (OCoLC)967600593 (DE-599)BVBBV043940351 |
| dewey-full | 530.15/5353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/5353 |
| dewey-search | 530.15/5353 |
| dewey-sort | 3530.15 45353 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9781316407103 |
| format | Electronic eBook |
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| id | DE-604.BV043940351 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316407103 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349321 |
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| physical | 1 online resource (xiii, 232 pages) |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Recent progress in the theory of the Euler and Navier-Stokes equations edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China) Recent Progress in the Theory of the Euler & Navier–Stokes Equations Cambridge Cambridge University Press 2016 1 online resource (xiii, 232 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 430 Title from publisher's bibliographic system (viewed on 07 Jan 2016) Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers Differential equations, Partial Navier-Stokes equations Lagrange equations Eulersche Bewegungsgleichungen (DE-588)4219070-8 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Lagrange-Gleichungen (DE-588)4166461-9 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 s Lagrange-Gleichungen (DE-588)4166461-9 s Eulersche Bewegungsgleichungen (DE-588)4219070-8 s 1\p DE-604 Robinson, James C. 1969- (DE-588)143220004 edt Rodrigo, José L. (DE-588)111500977X edt Sadowski, Witold 1973- (DE-588)140503099 edt Vidal-López, Alejandro 1976- edt Erscheint auch als Druckausgabe 978-1-107-55497-9 https://doi.org/10.1017/CBO9781316407103 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Recent progress in the theory of the Euler and Navier-Stokes equations Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito Differential equations, Partial Navier-Stokes equations Lagrange equations Eulersche Bewegungsgleichungen (DE-588)4219070-8 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Lagrange-Gleichungen (DE-588)4166461-9 gnd |
| subject_GND | (DE-588)4219070-8 (DE-588)4041456-5 (DE-588)4166461-9 |
| title | Recent progress in the theory of the Euler and Navier-Stokes equations |
| title_alt | Recent Progress in the Theory of the Euler & Navier–Stokes Equations |
| title_auth | Recent progress in the theory of the Euler and Navier-Stokes equations |
| title_exact_search | Recent progress in the theory of the Euler and Navier-Stokes equations |
| title_full | Recent progress in the theory of the Euler and Navier-Stokes equations edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China) |
| title_fullStr | Recent progress in the theory of the Euler and Navier-Stokes equations edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China) |
| title_full_unstemmed | Recent progress in the theory of the Euler and Navier-Stokes equations edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China) |
| title_short | Recent progress in the theory of the Euler and Navier-Stokes equations |
| title_sort | recent progress in the theory of the euler and navier stokes equations |
| topic | Differential equations, Partial Navier-Stokes equations Lagrange equations Eulersche Bewegungsgleichungen (DE-588)4219070-8 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd Lagrange-Gleichungen (DE-588)4166461-9 gnd |
| topic_facet | Differential equations, Partial Navier-Stokes equations Lagrange equations Eulersche Bewegungsgleichungen Navier-Stokes-Gleichung Lagrange-Gleichungen |
| url | https://doi.org/10.1017/CBO9781316407103 |
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