Singular Limits In Thermodynamics Of Viscous Fluids - Feireisl Eduard; Novotný Antonín | Libro Birkhäuser 08/2018 -

home libri books ebook dvd e film top ten sconti 0 Carrello

Torna Indietro

feireisl eduard; novotný antonín - singular limits in thermodynamics of viscous fluids

Singular Limits in Thermodynamics of Viscous Fluids


Disponibilità: Normalmente disponibile in 10 giorni

135,98 €
129,18 €

Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.

Pagabile anche con App18 Bonus Cultura e Carta Docenti

Facebook Twitter Aggiungi commento

Spese Gratis


Lingua: Inglese


Pubblicazione: 08/2018
Edizione: Softcover reprint of the original 2nd ed. 2017


Preface.- 1 Fluid flow modeling.- 1.1 Field equations of continuum fluid mechanics.- 1.2 Constitutive relations.- 2 Mathematical theory of weak solutions.- 2.1 Variational formulation.- 2.2 A priori estimates.- 3 Existence theory.- 3.1 Hypotheses.- 3.2 Structural properties of constitutive functions.- 3.3 Main existence result.- 3.4 Solvability of the approximate system.- 3.5 Limit in the Faedo-Galerkin approximation scheme.- 3.6 Artificial diffusion limit.- 3.7 Vanishing artificial pressure.- 3.8 Regularity properties of weak solutions.- 4 Asymptotic analysis - an introduction.- 4.1 Scaling and scaled equations.- 4.2 Low Mach number limit.- 4.3 Strongly satisfied flows.- 4.4 Acoustic waves.- 5 Singular limits - low stratification.- 5.1 Hypotheses and global existence for the primitive system.- 5.2 Dissipation equation, uniform solutions.- 5.3 Convergence.- 5.4 Acoustiv waves.- 5.5 Conclusion - main result.- 6 Stratified fluids.- 6.1 Motivation.- 6.2 Primitive system.- 6.3 Asymptotic limit.- 6.4 Uniform estimates.- 6.5 Convergence towards the target system.- 6.6 Analysis of the acoustic waves.- 6.7 Asymptotic limit in the entropy balance.- 7 Refined analysis of the acoustic waves.- 7.1 Problem formulation.- 7.2 Main result.- 7.3 Uniform estimates.- 7.4 Analysis of the acoustic waves.- 7.5 Strong convergence of the velocity field.- 8 Appendix.- 8.1 Quasilinear parabolic equations.- 8.2 Mollifiers.- 8.3 The normal traces.- 8.4 The Bogovskii Operator.- 8.5 Maximal regularity to parabolic equations.- 8.6 Korn and Poincaré type inequalities.- 8.7 Radon measures.- 8.8 Weak convergence, monotone and convex functions.- 8.9 Fourier and the Riesz transforms.- 8.10 Div-Curl lemma and commutators involving the Riesz operators.- 8.11 Renormalized solutions to the continuity equation.- 9 Bibliographic remarks 9.1 Fluid flow modeling.- 9.2 Mathematical theory of the weak solutions.- 9.3 Singular limits.


Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.

As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

Altre Informazioni



Condizione: Nuovo
Collana: Advances in Mathematical Fluid Mechanics
Dimensioni: 235 x 155 mm Ø 860 gr
Formato: Brossura
Pagine Arabe: 524
Pagine Romane: xlii

Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.