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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     author = {V. P. Gaevoǐ},
     title = {Existence and stability of summable generalized solutions in a~mathematical model of a~catalytic process in a~boiling layer},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {54--68},
     publisher = {mathdoc},
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     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_2_a5/}
}
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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/