Geodesic
Entropy Solutions of Differential Equations with Variable Parabolicity Direction
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 4, pp. 82-100

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First-type boundary problem is considered in restricted area with variable parabolicity direction. Equations of this form arise in the Prandtl boundary layer modeling. It is proved that for any initial and final data exists a unique entropy solution.
Keywords: entropy solutions, variable parabolicity direction, first-type boundary problem. 
@article{VNGU_2012_12_4_a11,
     author = {I. V. Kuznetsov},
     title = {Entropy {Solutions} of {Differential} {Equations} with {Variable} {Parabolicity} {Direction}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {82--100},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_4_a11/}
}
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I. V. Kuznetsov. Entropy Solutions of Differential Equations with Variable Parabolicity Direction. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 4, pp. 82-100. http://geodesic.mathdoc.fr/item/VNGU_2012_12_4_a11/