The method of smooth domains in the equilibrium problem for a plate with a crack.
Khludnev, A. M. (2002)
Sibirskij Matematicheskij Zhurnal
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Khludnev, A. M. (2002)
Sibirskij Matematicheskij Zhurnal
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Luckhaus, S., Plotnikov, P.I. (2000)
Siberian Mathematical Journal
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Milenković, Olivera (2005)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Sazhenkov, S.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Khomasuridze, N. (2001)
Georgian Mathematical Journal
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W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani (2008)
Journées Équations aux dérivées partielles
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This paper deals with the global well-posedness of the D axisymmetric Euler equations for initial data lying in critical Besov spaces . In this case the BKM criterion is not known to be valid and to circumvent this difficulty we use a new decomposition of the vorticity .
Alekseev, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Gary Lieberman (1996)
Banach Center Publications
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Burchuladze, T., Burchuladze, D. (1998)
Georgian Mathematical Journal
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Ewa Zadrzyńska, Wojciech M. Zajączkowski (1994)
Annales Polonici Mathematici
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The motion of a viscous compressible heat conducting fluid in a domain in ℝ³ bounded by a free surface is considered. We prove local existence and uniqueness of solutions in Sobolev-Slobodetskiĭ spaces in two cases: with surface tension and without it.
Romanov, V.G. (2002)
Sibirskij Matematicheskij Zhurnal
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