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Model problems for n-dimensional generalized Stokes equations

✍ Scribed by V.A. Solonnikov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
384 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

We consider the Cauchy problem and the initial-boundary value problem for generalized Stokes equations with constant coefficients in the half-space (\left{x_{n}>0\right}, n \geq 2). The solutions are constructed in the form of sums of potentials for whose kernels pointwise estimates are given. This makes it possible to obtain coercive estimates for solution of these problems in different norms. In the three-dimensional case this has been done in ([1,2]). The result may be useful for the analysis of initial-boundary value problem for equations of motion of non-newtonian fluids.

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