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Sull'unicita'e stabilita' universale in media nella dinamica dei fluidi

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Summary

We consider a general non linear system of partial differential equations which contains, as particular cases, those which control the evolution of several types of continuous fluids—like magnetohydrodynamic, magnetomicropolar, mixtures, fluids in porous media, …—. For such a system, following the energy method and for domains bounded at last in one direction, we prove a uniqueness theorem and a theorem of universal stability in the mean under very wide boundary conditions. Such theorems allow to improve those given by others Authors for each type of fluids.

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Authors and Affiliations

  1. S. R. Istituto di Matematica, Via Mezzocannone, 8, Napoli

    S. Rionero & M. Maiellaro

  2. M. M. Istituto di Meccanica Razionale, Via Nicolai, 2, Bari

    S. Rionero & M. Maiellaro

Authors
  1. S. Rionero
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  2. M. Maiellaro
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Additional information

Lavoro eseguito nell'ambito della sez. n. 2 del G.N.F.M. del C.N.R.

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Rionero, S., Maiellaro, M. Sull'unicita'e stabilita' universale in media nella dinamica dei fluidi. Rend. Circ. Mat. Palermo 27, 305–326 (1978). https://doi.org/10.1007/BF02843941

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  • DOI: https://doi.org/10.1007/BF02843941

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