Proceedings of Varenna 2000, the Intl conference on theory and numerical methods of the Navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy.
Preface
iii
Contributors
vii
Flow in Bounded and Unbounded Domains
A Reynolds Equation Derived from the Micropolar Navier-Stokes System
1
(18)
Mahdi Boukrouche
More Lyapunov Functions for the Navier-Stokes Equations
19
(8)
Marco Cannone
Fabrice Planchon
On the Nonlinear Stability of the Magnetic Benard Problem
27
(6)
Vincenzo Coscia
Giovanna Guidoboni
Mariarosaria Padula
Stability of Navier-Stokes Flows through Permeable Boundaries
33
(12)
Joe V. Hlomuka
Niko Sauer
On Steady Solutions of the Kuramoto-Sivashinsky Equation
45
(8)
Naoyuki Ishimura
Classical Solutions to the Stationary Navier-Stokes System in Exterior Domains
53
(12)
Paolo Maremonti
Remigio Russo
Guilio Starita
Stationary Navier-Stokes Flow in Two-Dimensional Y-Shape Channel under General Outflow Condition
65
(8)
Hiroko Morimoto
Hiroshi Fujita
Regularity of Solutions to the Stokes Equations under a Certain Nonlinear Boundary Condition
73
(14)
Norikazu Saito
Hiroshi Fujita
Viscous Incompressible Flow in Unbounded Domains
87
(12)
Rodolfo Salvi
Life Span and Global Existence of 2-D Compressible Fluids
99
(14)
Paolo Secchi
On the Theory of Nonstationary Hydrodynamic Potentials
113
(18)
Vsevolod Solonnikov
A Note on the Blow-up Criterion for the Inviscid 2-D Boussinesq Equations
131
(10)
Yasushi Taniuchi
Weak Solutions to Viscous Heat-Conducting Gas 1D-Equations with Discontinuous Data: Global Existence, Uniqueness, and Regularity
141
(18)
Alexander Zlotnik
Andrey Amosov
General Qualitative Theory
Regularity Criteria of the Axisymmetric Navier Stokes Equations
159
(8)
Dongho Chae
Jihoon Lee
Boundary Singular Sets for Stokes Equations
167
(12)
Hi Jun Choe
Sanghyuk Lee
Feedback Stabilization for the 2D Navier-Stokes Equations
179
(18)
A. V. Fursikov
Approximation of Weak Limits via Method of Averaging with Applications to Navier-Stokes Equations
197
(8)
Alexandre V. Kazhikhov
Asymptotic Profiles of Nonstationary Incompressible Navier-Stokes Flows in Rn and Rn+
205
(16)
Tetsuro Miyakawa
Remark on the L2 Decay for Weak Solution to Equations of Non-Newtonian Incompressible Fluids in the Whole Space II
221
(12)
Sarka Nevcasova
Patrick Penel
Numerical Methods and Experiments
Navier-Stokes Simulations of Vortex Flows
233
(14)
Egon Krause
Numerical Results for the CGBI Method to Viscous Channel Flow
247
(10)
S. Krautle
K. Wielage
Isothermal Drop-Wall Interactions: Introduction to Experimental and Numerical Studies
257
(22)
Marco Marengo
Rubens Scardovelli
Christophe Josserand
Stephane Zaleski
Convergence of the Interface in the Finite Element Approximation for Two-Fluid Flows
279
Katsushi Ohmori
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