A mathematical analysis of thermal explosions.
Taira, Kazuaki (2001)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A nonlinear heat equation with temperature-dependent parameters.”
A mathematical analysis of thermal explosions.
On local motion of a general compressible viscous heat conducting fluid bounded by a free surface
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.
Solvability of inverse extremal problems for stationary heat and mass transfer equations.
Alekseev, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes
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].
Determination of conductivity in a heat equation.
Wang, Ping, Zheng, Kewang (2000)
International Journal of Mathematics and Mathematical Sciences
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Involutive distributions, invariant manifolds, and defining equations.
Kaptsov, O.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.
Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Regularizing a nonlinear integroparabolic Fokker--Planck equation with space-periodic solutions: existence of strong solutions.
Lavrent'ev, M.M.jun., Spigler, R., Akhmetov, D.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Rayleigh waves in a thermoelastic granular medium under initial stress.
Ahmed, S.M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Qualitative investigation of nonlinear differential equations describing infiltration of water
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.
A two-dimensional Hammerstein problem: The linear case.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Entropy solutions to the Buckley--Leverett equations.
Luckhaus, S., Plotnikov, P.I. (2000)
Siberian Mathematical Journal
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Qualitative behavior of a class of second order nonlinear differential equations on the halfline
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.
Darcy's law in anisothermic porous medium.
Meirmanov, A.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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