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Solvability of a mathematical model of dissociative adsorption and associative desorption type

100%
Ambrazevičius A., Eismontaitė A.
Open Mathematics
|
2013
|
tom 11
|
nr 6
1129-1139
EN
A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized. The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.
2
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Solvability of a coupled system of parabolic and ordinary differential equations

100%
Ambrazevičius A.
Open Mathematics
|
2010
|
tom 8
|
nr 3
537-547
EN
A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.
3
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Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

64%
Guliyev V. S., Omarova M. N.
Open Mathematics
|
2016
|
tom 14
|
nr 1
49-61
EN
We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w), than the strong solution belongs to the generalized weighted Sobolev- Morrey space [...] W˙2,1p,φ(Q,ω)$\dot W_{2,1}^{p,\varphi }\left( {Q,\omega } \right)$.
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