Geodesic
Existence and stability of summable generalized solutions in a~mathematical model of a~catalytic process in a~boiling layer
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 2, pp. 54-68.

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For a system of first order partial differential equations describing a catalytic process in a boiling layer, we consider a mixed problem in the half-strip $ 0\le x\le h$, $t\ge0$. We prove the existence and uniqueness of a bounded summable generalized solution and study its stability. We prove the stabilization as $t\to\infty$ of the values of some physically meaningful functionals of solutions.
Keywords: mixed problem, generalized solution, stability. 
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V. P. Gaevoǐ. Existence and stability of summable generalized solutions in a~mathematical model of a~catalytic process in a~boiling layer. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 2, pp. 54-68. http://geodesic.mathdoc.fr/item/SJIM_2010_13_2_a5/

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