Geodesic
Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids
Applicationes Mathematicae, Tome 25 (1999) no. 2, pp. 179-220 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The local existence and the uniqueness of solutions for equations describing the motion of viscous compressible heat-conducting fluids in a domain bounded by a free surface is proved. First, we prove the existence of solutions of some auxiliary problems by the Galerkin method and by regularization techniques. Next, we use the method of successive approximations to prove the local existence for the main problem.
DOI : 10.4064/am-25-2-179-220
Keywords: free boundary, compressible viscous heat-conducting fluids, local existence

Ewa Zadrzyńska 1 ; Wojciech Zajączkowski 1

1 
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Ewa Zadrzyńska; Wojciech Zajączkowski. Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids. Applicationes Mathematicae, Tome 25 (1999) no. 2, pp. 179-220. doi: 10.4064/am-25-2-179-220

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