These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 239 mm
Breite: 165 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-981-4460-81-1 (9789814460811)
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Schweitzer Klassifikation
Autor*in
Lavrentyev Inst Of Hydrodynamics, Russia
Herausgeber*in
Blekinge Inst Technology, Sweden
One-Parameter Continuous Transformation Groups Admitted by Differential Equations: One-Parameter Continuous Transformation Group; Infinitesimal Operator of the Group; Invariants and Invariant Manifolds; Theory of Prolongation; Groups Admitted by Differential Equations; Lie Algebra of Operators; Lie Algebras and Local Lie Groups: Lie Algebra; Adjoint Algebra; Local Lie Group; Subgroup, Normal Subgroup and Factor Group; Inner Automorphisms of a Group and of Its Lie Algebra; Local Lie Group of Transformations; Group Invariant Solutions of Differential Equations: Invariants of R-Parameter Group; Invariant Manifolds; Invariant Solutions of Differential Equations; Classification of Invariant Solutions; Partially Invariant Solutions; Reduction of Partially Invariant Solutions; Some Problems.
