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The Quarterly Journal of Mechanics and Applied Mathematics 1979 32(2):149-161; doi:10.1093/qjmam/32.2.149
© 1979 by Oxford University Press
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CONTINUOUS DEPENDENCE THEOREMS FOR NAVIER-STOKES EQUATIONS IN UNBOUNDED DOMAINS BY THE WEIGHT-FUNCTION METHOD

GIOVANNI P. GALDI and SALVATORE RIONERO

( Istituto di Matematica dell' Università di Napoli via Mezzocannone 8, 80131 Napoli, Italy )

In this paper, employing the weight-function approach which we previously introduced for studying uniqueness questions, we establish some continuous dependence theorems for solutions of the Navier-Stokes equations on exterior domains. We thus improve, among other things, analogous results recently obtained by other authors using different tools. We then extend (by only sketching the proofs) the above results to the more general case of binary fluid mixtures in the Boussinesq approximation.


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