Info
Stability criteria for fluid flows [[electronic resource] /] / Adelina Georgescu, Lidia Palese
| Stability criteria for fluid flows [[electronic resource] /] / Adelina Georgescu, Lidia Palese |
| Autore | Georgescu Adelina |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (418 p.) |
| Disciplina | 536/.25 |
| Altri autori (Persone) | PaleseLidia |
| Collana | Series on advances in mathematics for applied sciences |
| Soggetto topico |
Heat - Convection - Mathematics
Fluid mechanics - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76169-2
9786612761690 981-4289-57-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Introduction; 1. Mathematical models governing fluid flows stability; 1.1 General mathematical models of thermodynamics; 1.1.1 Physical quantities and their mathematical description; 1.1.2 Global quantities and their integral representation; 1.1.3 Balance equations in integral form; 1.1.4 Balance equations in differential form; 1.1.5 Constitutive equations. State equations; 1.2 Classical mathematical models in thermodynamics of fluids; 1.2.1 Incompressible Navier-Stokes model; 1.2.2 Navier-Stokes-Fourier model and Oberbeck-Boussinesq approximation
1.3 Classical mathematical models in thermodynamics1.4 Classical perturbation models; 1.4.1 Perturbation models; 1.4.2 Perturbation incompressible Navier-Stokes model; 1.4.3 Perturbation model for viscous incompressible homogeneous thermoelectrically conducting or nonconducting fluid; 1.4.3.1 Magnetic case; 1.4.3.2 Perturbation Navier-Stokes-Fourier model in the Oberbeck-Boussinesq approximation; 1.4.4 Perturbation model for viscous incompressible homogeneous thermoelectrically fully ionized conducting fluids 1.4.5 Perturbation model for viscous incompressible homogeneous thermoelectrically partially ionized conducting fluid1.4.6 Perturbation model for a thermally conducting binary mixture in the presence of the Soret and Dufour effects; 1.5 Generalized incompressible Navier-Stokes model; 1.5.1 Generalized models; 1.5.2 Generalized model for strong solutions; 1.5.3 Perturbation generalized model for strong solutions; 2. Incompressible Navier-Stokes fluid; 2.1 Back to integral setting; involvement of dynamics and bifurcation; 2.2 Stability in semidynamical systems; 2.3 Perturbations asymptotic stability linear stability; 2.4 Linear stability; 2.4.1 Finite-dimensional case; 2.4.2 Infinite-dimensional case; 2.5 Prodi's linearization principle; 2.6 Estimates for the spectrum of A; 2.6.1 Necessary conditions for belonging to (-A); 2.6.2 Spectrum bounds based on straight lines; 2.6.3 Spectrum bounds based on parabolas; 2.7 Universal stability criteria; 2.7.1 Energy relation; 2.7.2 Three-dimensional case; 2.7.2.1 Incompressible Navier-Stokes uid; 2.7.3 Two-dimensional case; 2.7.3.1 Leray setting; 2.7.3.2 Weak setting 2.7.3.3 A variant of Leray setting. Method based on orthogonal projections2.7.3.4 Su cient criteria for nonexistence of subcritical instabilities; 3. Elements of calculus of variations; 3.1 Generalities; 3.2 Direct and inverse problems of calculus of variations; 3.2.1 Variational problems in classical, generalized and abstract setting; 3.2.2 Construction of the boundary-value problem associated with a variational problem. Necessary conditions for extremum; 3.2.3 Classical Euler equations associated with variational problems for particular functionals 3.2.4 Construction of the variational problem associated with an Euler equation: energy method. Quadratic functionals associated with affine or linear equations |
| Record Nr. | UNINA-9910456102703321 |
Georgescu Adelina
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stability criteria for fluid flows [[electronic resource] /] / Adelina Georgescu, Lidia Palese
| Stability criteria for fluid flows [[electronic resource] /] / Adelina Georgescu, Lidia Palese |
| Autore | Georgescu Adelina |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (418 p.) |
| Disciplina | 536/.25 |
| Altri autori (Persone) | PaleseLidia |
| Collana | Series on advances in mathematics for applied sciences |
| Soggetto topico |
Heat - Convection - Mathematics
Fluid mechanics - Mathematics |
| ISBN |
1-282-76169-2
9786612761690 981-4289-57-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Introduction; 1. Mathematical models governing fluid flows stability; 1.1 General mathematical models of thermodynamics; 1.1.1 Physical quantities and their mathematical description; 1.1.2 Global quantities and their integral representation; 1.1.3 Balance equations in integral form; 1.1.4 Balance equations in differential form; 1.1.5 Constitutive equations. State equations; 1.2 Classical mathematical models in thermodynamics of fluids; 1.2.1 Incompressible Navier-Stokes model; 1.2.2 Navier-Stokes-Fourier model and Oberbeck-Boussinesq approximation
1.3 Classical mathematical models in thermodynamics1.4 Classical perturbation models; 1.4.1 Perturbation models; 1.4.2 Perturbation incompressible Navier-Stokes model; 1.4.3 Perturbation model for viscous incompressible homogeneous thermoelectrically conducting or nonconducting fluid; 1.4.3.1 Magnetic case; 1.4.3.2 Perturbation Navier-Stokes-Fourier model in the Oberbeck-Boussinesq approximation; 1.4.4 Perturbation model for viscous incompressible homogeneous thermoelectrically fully ionized conducting fluids 1.4.5 Perturbation model for viscous incompressible homogeneous thermoelectrically partially ionized conducting fluid1.4.6 Perturbation model for a thermally conducting binary mixture in the presence of the Soret and Dufour effects; 1.5 Generalized incompressible Navier-Stokes model; 1.5.1 Generalized models; 1.5.2 Generalized model for strong solutions; 1.5.3 Perturbation generalized model for strong solutions; 2. Incompressible Navier-Stokes fluid; 2.1 Back to integral setting; involvement of dynamics and bifurcation; 2.2 Stability in semidynamical systems; 2.3 Perturbations asymptotic stability linear stability; 2.4 Linear stability; 2.4.1 Finite-dimensional case; 2.4.2 Infinite-dimensional case; 2.5 Prodi's linearization principle; 2.6 Estimates for the spectrum of A; 2.6.1 Necessary conditions for belonging to (-A); 2.6.2 Spectrum bounds based on straight lines; 2.6.3 Spectrum bounds based on parabolas; 2.7 Universal stability criteria; 2.7.1 Energy relation; 2.7.2 Three-dimensional case; 2.7.2.1 Incompressible Navier-Stokes uid; 2.7.3 Two-dimensional case; 2.7.3.1 Leray setting; 2.7.3.2 Weak setting 2.7.3.3 A variant of Leray setting. Method based on orthogonal projections2.7.3.4 Su cient criteria for nonexistence of subcritical instabilities; 3. Elements of calculus of variations; 3.1 Generalities; 3.2 Direct and inverse problems of calculus of variations; 3.2.1 Variational problems in classical, generalized and abstract setting; 3.2.2 Construction of the boundary-value problem associated with a variational problem. Necessary conditions for extremum; 3.2.3 Classical Euler equations associated with variational problems for particular functionals 3.2.4 Construction of the variational problem associated with an Euler equation: energy method. Quadratic functionals associated with affine or linear equations |
| Record Nr. | UNINA-9910780892203321 |
|
Georgescu Adelina
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistics and scaling in turbulent Rayleigh-Benard convection / / Emily S.C. Ching
| Statistics and scaling in turbulent Rayleigh-Benard convection / / Emily S.C. Ching |
| Autore | Ching Emily S. C. <1964-> |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Singapore, : Springer Science, 2014 |
| Descrizione fisica | 1 online resource (viii, 65 pages) : illustrations |
| Disciplina |
532
536.25 536/.25 |
| Collana | SpringerBriefs in applied sciences and technology |
| Soggetto topico |
Rayleigh-Benard convection
Benard cells |
| ISBN | 981-4560-23-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Rayleigh-Bénard Convection System -- Statistical Analysis of Turbulent Fluctuations -- Phenomenology and Scaling Theories -- Observed Scaling Behavior -- Summary and Outlook. |
| Record Nr. | UNINA-9910299730003321 |
|
Ching Emily S. C. <1964->
|
||
| Singapore, : Springer Science, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||