Navier-Stokes Equations: Theory and Numerical MethodsThis volume contains the texts of selected lectures delivered at the "International Conference on Navier-Stokes Equations: Theory and Numerical Methods," held during 1997 in Varenna, Lecco (Italy). In recent years, the interest in mathematical theory of phenomena in fluid mechanics has increased, particularly from the point of view of numerical analysis. The book surveys recent developments in Navier-Stokes equations and their applications, and contains contributions from leading experts in the field. It will be a valuable resource for all researchers in fluid dynamics. |
Contents
Flow in bounded and unbounded domains | 1 |
Fujita H | 16 |
Gazzola F and Secchi P | 31 |
Kaplický P | 45 |
Morimoto H and Ukai S | 67 |
Neustupa J | 86 |
Padula M | 101 |
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Common terms and phrases
analysis approximation assume assumptions asymptotic basis boundary conditions boundary value problem bounded domain coefficients compact compressible computed consider constant continuous convergence defined definition denote density Dirichlet Dirichlet problem elliptic estimate existence and uniqueness finite element finite element method flow fluid functional spaces given H₂ hand side Hölder Hölder continuity incompressible incremental inequality integral interface interpolation invariant measure L²(N L²(R Lemma linear operator Lipschitz continuous Math mathematical matrix Moreover Navier-Stokes equations nonlinear norm numerical obtain outflow partial differential equations pressure proof properties Proposition prove regularity result Reynolds number satisfies scalar scheme semigroup smooth Sobolev spaces stationary Stokes operator Stokes problem symmetric Temam term Theorem theory unique solution vector functions velocity viscosity wavelets WBVPS weak solution მი
References to this book
Acoustics, Mechanics, and the Related Topics of Mathematical Analysis ... Armand Wirgin Limited preview - 2003 |