Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source.
Al-Khairy, R.T., Al-Ofey, Z.M. (2009)
Journal of Applied Mathematics
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Displaying similar documents to “Invertibility of some heat potentials in norms”
Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source.
Continuous dependence of solutions of some inverse problems in heat conduction
W Golik (1991)
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Elena Comparini, Domingo A. Tarzia (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Rendiconti del Seminario Matematico della Università di Padova
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Tran Thi Le, Navarro, Milagros (1995)
International Journal of Mathematics and Mathematical Sciences
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Santander, J.L.G., Castañeda Porras, P., Ratis, Yu.L., Isidro, J.M., Fernández de Córdoba, P. (2010)
Mathematical Problems in Engineering
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On the solution of the heat equation with nonlinear unbounded memory
Alexander Doktor (1985)
Aplikace matematiky
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The paper deals with the question of global solution to boundary value problem for the system of semilinear heat equation for and complementary nonlinear differential equation for (“thermal memory”). Uniqueness of the solution is shown and the method of successive approximations is used for the proof of existence of a global solution provided the condition holds. The condition is verified for some particular cases (e. g.: bounded nonlinearity, homogeneous Neumann problem (even...
Heat conduction in lenses.
Aebischer, Beat (2007)
Mathematical Problems in Engineering
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