Dmitriy K. Potapov, Victoria V. Yevstafyeva
Abstract:
We study the Lavrent'ev mathematical model for separated flows with
an external perturbation. This model consists of a differential
equation with discontinuous nonlinearity and a boundary condition.
Using a variational method, we show the existence of a semiregular
solution. As a particular case, we study the one-dimensional model.
Submitted July 2, 2013. Published November 20, 2013.
Math Subject Classifications: 35J25, 35J60, 35Q35.
Key Words: Lavrent'ev model; separated flows; external perturbation;
discontinuous nonlinearity; semiregular solution; variational method.
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Dmitriy K. Potapov Saint Petersburg State University 7-9, University emb., 199034 St. Petersburg, Russia email: potapov@apmath.spbu.ru | |
Victoria V. Yevstafyeva Saint Petersburg State University 7-9, University emb., 199034 St. Petersburg, Russia email: vica@apmath.spbu.ru |
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