Titlebook: Developments in Partial Differential Equations and Applications to Mathematical Physics; G. Buttazzo,G. P. Galdi,L. Zanghirati Book 1992 P

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松馳

Remarks on Incomprehensible Models of Fluid Mechanicsodels: in order to avoid technicalities with boundary conditions, we shall consider the simple case of periodic boundary conditions. In other words, all unknown functions will be periodic on .. or on ..with a period .. in each variable .. (.= 1,2 or . = 1, 2, 3). Next, if . = . (.,.) denote the vect

insincerity

On Solutions with Blow-Up at the Boundary for a Class of Semilinear Elliptic Equationstions which blow up uniformly on the boundary. Throughout the paper we shall assume that D is a . domain, i.e. ?D is compact of class C.. When D is unbounded, we shall say that a large solution is . if it tends to zero at infinity.

relieve

Surface Waves of Viscous Fluid Down an Inclined Planesystem globally in time under appropriate smallness conditions. In the second part we treat an approximate equation which may be called Korteweg-de Vries-Kuramoto-Sivashinsky equation and can be derived under the assumption of small amplitude and long waves for the free surface problem and we obtain

lambaste

Flows between Rotating Platesrelevance to important problems in astrophysics, geophysics and engineering. The pioneering study of Karman [1] of the steady axially symmetric flow due to a rotating plate has been followed by literally hundreds of investigations that span the gamut from rigorous mathematical analyses to precise ex

lambaste

阻止

Ultra Wave Front Sets and Fourier Integral Operators of Infinite Order with an Applicationa-Zanghirati. have proved that the symbols of Fourier integral operators in the fundamental solution are not able to be estimated by finite order but able to be estimated by infinite order of the following type.These symbols are estimeted from above by (1) for some constant tc satisfying . >1. Foure

FLAX

On Mathematical Tools for Studying Partial Differential Equations of Continuum Physics: H-Measures a in Partial Differential Equations and Applications to Mathematical Physics” and I wondered what could have meant Mathematical Physics six hundred years ago. In my understanding, Physics is mostly now concerned about Light and Matter in their different forms and, for a mathematician like me, it mean

faddish

On the Stationary Oseen Equations with Nonvanishing Divergence in Exterior Domains of ,,ity converges to a vector .., at infinity. In the most interesting case where ..≠0 we know by experiments that the flow gets turbulent in a region behind the obstacle, in the so-called wake. Linearizing the Navier-Stokes equations in the velocity field with respect to the constant vector .. = .(1, 0