A nonlinear heat equation with temperature-dependent parameters.
Rincon, M.A., Límaco, J., Liu, I-Shih (2006)
Mathematical Physics Electronic Journal [electronic only]
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Rincon, M.A., Límaco, J., Liu, I-Shih (2006)
Mathematical Physics Electronic Journal [electronic only]
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Wang, Ping, Zheng, Kewang (2000)
International Journal of Mathematics and Mathematical Sciences
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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.
Taira, Kazuaki (2001)
International Journal of Mathematics and Mathematical Sciences
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Kordoš, M. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bui Ton, Grzegorz Łukaszewicz (1992)
Banach Center Publications
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The existence of a weak solution of a non-stationary free boundary transmission problem arising in the production of industrial materials is established. The process is governed by a coupled system involving the Navier--Stokes equations and a non-linear heat equation. The stationary case was studied in [7].
Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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D. O'Regan (1991)
Annales Polonici Mathematici
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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
Ming-Xing Wang, Alberto Cabada, Juan J. Nieto (1993)
Annales Polonici Mathematici
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The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Khomasuridze, N. (2001)
Georgian Mathematical Journal
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Chudinovich, Igor, Constanda, Christian (2003)
Georgian Mathematical Journal
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