Мақола

On a boundary value problem to third order PDE with multiple characteristics

Yusufjon P. P. ApakovNamangan Engineering Pedagogical Institute, UzbekistanS. RutkauskasVilnius University; Vilnius Pedagogical University, Lithuania

Nonlinear Analysis Modelling and Controljournal2011en

ABI

Аннотация

In the paper the second boundary value problem in a rectangular domain to equation uxxx − uyy = f(x, y) with the multiple characteristics is considered. The considered equation is closely related with nonlinear equation uxxx + uyy −(ν/y)uy = uxuxx, which describes transonic flow of a gas around a revolution bodies. Using the fundamental solutions of corresponding homogeneous equation the Green function of analyzed problem is composed and thereby this problem is solved.

Мавзулар

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Physics Problems

Идентификаторлар

DOI: 10.15388/na.16.3.14092

Иқтибослар ва манбалар

12 та иқтибос 2 та фойдаланилган манба

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