General solution for hydrodynamical equations

Details General solution for hydrodynamical equations General solution for hydrodynamical equations

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005hia....13..377o&link_type=abstract

In: Highlights of Astronomy, Vol. 13, as presented at the XXVth General Assembly of the IAU - 2003 [Sydney, Australia, 13 - 26 J

Astronomy and Astrophysics

Astronomy

Dense Stellar Systems

Scientific paper

We will apply a new mathematical method ( introduced by the authors) to solve the nonlinear hydrodynamical equations Governing the optically thin interstellar media in one dimension. Although a simple example have been choosen But it is very instructive. In this simple example we will discuss about cases that we way sustitute an ordinary equation for continuity equation. we also will prove that the same can be done to equation of motion and energy equation. As a conclution we will show that the results of this research can have a wide application in all areas of Physics and nonlinear mathematics. It seems that in many cases we are not obliged to make use of numerical calculations and a great number of nonlinear importamt physical equations can be solved analitically in their most general form.

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