An Introduction to Navier'Stokes Equation and Oceanography / by Luc Tartar
(Lecture Notes of the Unione Matematica Italiana ; 1)
| データ種別 | 電子ブック |
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| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg , 2006 |
| 本文言語 | 英語 |
| 大きさ | XXVIII, 247 p : online resource |
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| 内容注記 | Basic physical laws and units Radiation balance of atmosphere Conservations in ocean and atmosphere Sobolev spaces I Particles and continuum mechanics Conservation of mass and momentum Conservation of energy One-dimensional wave equation Nonlinear effects, shocks Sobolev spaces II Linearized elasticity Ellipticity conditions Sobolev spaces III Sobolev spaces IV Sobolev spaces V Sobolev embedding theorem Fixed point theorems Brouwer's topological degree Time-dependent solutions I Time-dependent solutions II Time-dependent solutions III Uniqueness in 2 dimensions Traces Using compactness Existence of smooth solutions Semilinear models Size of singular sets Local estimates, compensated integrability Coriolis force Equation for the vorticity Boundary conditions in linearized elasticity Turbulence, homogenization G-convergence and H-convergence One-dimensional homogenization, Young measures Nonlocal effects I Nonlocal effects II A model problem Compensated compactness I Compensated compactness II Differential forms The compensated compactness method H-measures and variants Biographical Information Abbreviations and Mathematical Notation |
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| 一般注記 | The Introduction to Navier-Stokes Equation and Oceanography corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. Comments were added to the lecture notes distributed to the students, as well as short biographical information for all scientists mentioned in the text, the purpose being to show that the creation of scientific knowledge is an international enterprise, and who contributed to it, from where, and when. The goal of the course is to teach a critical point of view concerning the partial differential equations of continuum mechanics, and to show the need for developing new adapted mathematical tools |
| 著者標目 | *Tartar, Luc author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Partial differential equations LCSH:Continuum physics FREE:Mathematics FREE:Analysis FREE:Partial Differential Equations FREE:Classical Continuum Physics |
| 分 類 | DC23:515 |
| 巻冊次 | ISBN:9783540365457 
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| ISBN | 9783540365457 |
| URL | http://dx.doi.org/10.1007/3-540-36545-1 |
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