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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Taira, Kazuaki (2001)
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.
Kaptsov, O.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Luc Paquet, Raouf El Cheikh, Dominique Lochegnies, Norbert Siedow (2012)
MathematicS In Action
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This paper aims to prove existence and uniqueness of a solution to the coupling of a nonlinear heat equation with nonlinear boundary conditions with the exact radiative transfer equation, assuming the absorption coefficient to be piecewise constant and null for small values of the wavelength as in the paper of N. Siedow, T. Grosan, D. Lochegnies, E. Romero, “Application of a New Method for Radiative Heat Tranfer to Flat Glass Tempering”, (8):2181-2187 (2005). An important...
Alekseev, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Ahmed, S.M. (2000)
International Journal of Mathematics and Mathematical Sciences
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M. D. Ugarte (2008)
Boletín de Estadística e Investigación Operativa. BEIO
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C. Pérez (2008)
Boletín de Estadística e Investigación Operativa. BEIO
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Chueshev, A.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Vidaković, Jovana, Racković, Miloš (2007)
Novi Sad Journal of Mathematics
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Škrbić, Srđan, Bodroški, Žarko, Pupovac, Biljana, Racković, Miloš (2007)
Novi Sad Journal of Mathematics
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