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.
Alekseev, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Luckhaus, S., Plotnikov, P.I. (2000)
Siberian Mathematical Journal
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Lomtatidze, A. (1994)
Georgian Mathematical Journal
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Morgulis, A.B., Yudovich, V.I. (2002)
Sibirskij Matematicheskij Zhurnal
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Khomasuridze, N. (2001)
Georgian Mathematical Journal
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Yoshihiro Shibata (1992)
Banach Center Publications
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The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
Jian Song, E. Tymchatyn (2000)
Fundamenta Mathematicae
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A space Y is called a free space if for each compactum X the set of maps with hereditarily indecomposable fibers is a dense -subset of C(X,Y), the space of all continuous functions of X to Y. Levin proved that the interval I and the real line ℝ are free. Krasinkiewicz independently proved that each n-dimensional manifold M (n ≥ 1) is free and the product of any space with a free space is free. He also raised a number of questions about the extent of the class of free spaces. In this...
Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Meirmanov, A.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Chueshev, A.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Klimov, V.S., Pavlenko, A.N. (2001)
Sibirskij Matematicheskij Zhurnal
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.