A Variational Approach to Boundary Value Problems for a Class of Nonlinear Systems of Mixed Type | Zendy

Hans-Peter Gittel | Zendy

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A Variational Approach to Boundary Value Problems for a Class of Nonlinear Systems of Mixed Type

Author(s) -

Hans-Peter Gittel

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/640

Subject(s) - class (philosophy) , nonlinear system , boundary value problem , mathematics , value (mathematics) , type (biology) , mathematical analysis , computer science , physics , artificial intelligence , geology , statistics , paleontology , quantum mechanics

Transonic small disturbance theory in two dimensions leads to a nonlinear first-order system of mixed type. For such systems corresponding variational problems are formulated. These minimum problems are studied on closed sets of admissible functions satisfying certain boundedness constraints and entropy conditions. Existence theorems can be proved though the functionals need not be convex and the given sets are not compact. Furthermore, some properties of minimizers are derived.

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