Abstract
In this chapter we study general elliptic boundary value problems in a thin domain of arbitrary dimension and apply the algorithms described for a number of special problems in Chapter 15. As before, the basic iterative process for construction of asymptotics consists in successivly solving two limit problems in the sections of the thin domain. If these problems are not uniquely solvable we introduce the third limit problem. Choosing its solution, we provide compatibility conditions for the two first problems. In the general case, the role of the third limit problem can be played by a problem with small parameter by the derivatives of higher order, algebraic or differential equations on the boundary of a section, etc. (Section 16.3 contains the corresponding examples.)
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
