Geodesic
Solvability of inhomogeneous boundary problems for the stationary mass-transfer equations
Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 2, pp. 138-153

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Boundary value problems for stationary mass-transfer for viscous equations are considered under nhomogeneous boundary conditions for the velocity and the concentration of the substance. The existence and uniqueness of a weak solution of the initial boundary value problem in a domain with a Lipshitz boundary is proved, exact apriori estimates of the solution are deduced and the regularity of the solution in the case of two dimensions is studied. 
@article{DVMG_2001_2_2_a12,
     author = {G. V. Alekseev and E. A. Adomavichus},
     title = {Solvability of inhomogeneous boundary problems for the stationary mass-transfer equations},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {138--153},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2001_2_2_a12/}
}
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G. V. Alekseev; E. A. Adomavichus. Solvability of inhomogeneous boundary problems for the stationary mass-transfer equations. Dalʹnevostočnyj matematičeskij žurnal, Tome 2 (2001) no. 2, pp. 138-153. http://geodesic.mathdoc.fr/item/DVMG_2001_2_2_a12/