Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Novotny, Antonin; Giga, Yoshikazu

Springer International Publishing AG

05/2018

3045

Dura

Inglês

9783319133430

15 a 20 dias

5518

Descrição não disponível.
Part 0 Derivation of Equations for incompressible and compressible fluids.- Modeling.- Part I Incompressible fluids.- Stokes approximation.- Steady viscous Newtonian fluids.- Unsteady viscous Newtonian fluids.- Regularity of nonstationary Navier-Stokes flow.- Mathematical theory for turbulence.- Incompressible fluids with various effects.- Free boundary problems.- Part II Compressible Fluids.- Equations and various concepts of solutions in the thermodynamics of compressible fluids.- Solutions for the one dimensional flows in the non steady case.- Global existence of weak solutions in several dimensions and their qualitative properties.- Regularity theory in the multidimensional non steady case.- Existence theory for the compressible steady flows.- Scale analysis and hydrodynamic limits within the equations of compressible fluids.- Examples of coupled systems including compressible fluids.
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Compressible Fluids;Fourier Analysis;Mathematical Analysis;Mathematical Theory;Navier-Stokes;Newtonian Fluids;Viscous Fluids;fluid- and aerodynamics