Titlebook: Navier—Stokes Equations and Related Nonlinear Problems; A. Sequeira Book 1995 Springer Science+Business Media New York 1995 Navier-Stokes

憎惡

Classical Solution to the Navier-Stokes Systemhose boundary ?Ω is assumed to be of class . . . So far (cf. Galdi, 1994; Ladyzhenskaya, 1969) the boundary-value problem has been considered assuming that the boundary data ..(.) has suitable properties of differentiability on ?Ω (usually it is assumed that . (.) ∈ . . (?Ω)). Here we try to give an

Banquet

labyrinth

鐵塔等

男學(xué)院

craven

Weighted ,,-Theory and Pointwise Estimates for Steady Stokes and Navier-Stokes Equations in Domains ∞. We present the theory concerning the solvability of the Stokes and Navier-Stokes systems with prescribed fluxes in weighted Sobolev and H?lder spaces and we show the pointwise decay of the solutions.

DEFT

nference was held in Funchal (Madeira, Portugal), on May 21-27, 1994. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon). This meeting, following two other success

思想

Steady Flow of a Viscous Incompressible Fluid in an Unbounded “Funnel-Shaped” Domainmotions for the Navier-Stokes problem and for the case in which the fluid is moving through a porous medium at rest filling Ω. In both cases the proof holds for arbitrary fluxes. We describe the asymptotic behaviour of the solutions in the halfspace for both the problems.

內(nèi)向者

The Weak Neumann Problem and the Helmholtz Decomposition of Two-Dimensional Vector Fields in Weighte≠ ?./. . . ., . ∈ .. For ? ./. < δ < . ? ./. we get the “classical” Helmholtz decomposition: Let . . .(Ω) denote the closure of all smooth solenoidal test functions in . . .(Ω) and G. .(δ) = ?.∈ . . .(Κ), . ∈ . . .(Ω). Then L. .(Ω) = . . .(Ω) ⊕ . . .(Ω). This can be extended to the cases δ < ? ./. and δ > . ? ./. with appropriate modifications.

高度

Uniqueness of Weak Solutions of Unsteady Motions of Viscous Compressible Fluids (II)eneral motions of compressible viscous fluids.where Ω ? . ., Ω is a sufficiently smooth domain, . is the pressure, ρ is the density, . is the velocity, μ, λ are viscosity coefficients, .(., .) is the external specific body force, . .(.) is the initial velocity and ρ.(.) is the initial density.