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

保守

Medley

Stability of Solutions of Parabolic Equations by a Combination of the Semigroup Theory and the EnergWe formulate sufficient conditions for asymptotic stability of the zero solution of a nonlinear parabolic differential equation in a Hilbert space by means of spectral properties and essential dissipativeness of certain linear operator. The spectrum of this operator may have a continuous part touching the imaginary axis.

合法

Mutter

馬賽克

(2 + ,)-Solutions in ,, to the Dirichlet and Neumann Problem for Δ and for Stokes’ System in ExterioWe want to give a survey on recent joint work with H. Sohr (Paderborn/Germany) being mainly concerned with the Dirichlet problem for the Laplacian in . .-spaces (1 < . < ∞) for exterior domains . ? ?. (see Simader and Sohr, 1995). Finally we sketch some consequences for Stokes’ system in the analogous framework. For this purpose we define:

鄙視讀作

Palpitation

使尷尬

滔滔不絕地講

The Maximum Principle for the Equation of Continuity of Compressible MediaThe maximum principle is established for classical and generalized solution ρ (., .) for the problem . for a given flow .(.,.), where . is the unit normal to ?Ω, c.f. Maslennikova and Bogovskii (1994).

過渡時期

On the Existence of Steady Motions of a Viscous Isothermal Fluid in a PipeWe study the problem of existence of steady flows of compressible fluids filling a cylinder, subject to a compact support body force and prescribed flux . We are not able to prove existence of solutions which decay exponentially to zero for the original problem. However, we solve the problem by adding a control force . . with compact support.