Some plane solutions of the relativistic navier-stokes equation

Summary We discuss the plane laminar flow of a viscous relativistic fluid, first in the incompressible and thermally non-conducting case, then for a compressible fluid with a non-vanishing heat flow such that the model is completely stationary. Some typically relativistic effects are discussed.

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Sommario Si considera il flusso laminare piano di un fluido viscoso relativistico, sia in condizioni di perfetta incomprimibilità ed adiabaticità, sia nel caso di un fluido comprimibile ed in presenza di un flusso termico tale da assicurare condizioni di completa stazionarietà. Si discutono alcuni effetti tipicamente relativistici.

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This work was in part carried out under the auspices of the Mathematical Research Group no. 115.1032.0.5172 of the Consiglio Nazionale delle Ricerche, and was sponsored in part by the Aerospace Research Laboratories, Office of Aerospace Research, U. S. Air Force, contract F 33615-68-C-1675.