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Whatdoasupernovaexplosioninouterspace, ?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption...

Dieses Lehrbuch zu dem Gebiet der angewandten reellen Analysis stellt ma thematische Methoden vor, die fur das heutige Verstandnis der Theorie nicht linearer hyperbolischer Erhaltungsgleichungen von Bedeutung sind, aber auch in anderen Gebieten Anwendung finden. Es umfasst sowohl klassische Themen der Analysis als auch insbesondere Methoden aus den letzten zwanzig Jahren, die noch nicht in der Lehrbuchliteratur eingehend behandelt werden. Das Buch ist an Studierende gerichtet, die am Anfang des Hauptstudiums stehen und denen die Grundlagen der Analysis, gewohnliche Differentialglei chungen...

Whatdoasupernovaexplosioninouterspace, ?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption...