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This masterly exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive the analysis. The reader should have a certain mathematical sophistication and be familiar with (at least) the rudiments of the qualitative theory of PDE, whereas the required notions from continuum physics are introduced from scratch. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws."
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Showing 3 featured editions. View all 3 editions?
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1
Hyperbolic Conservation Laws in Continuum Physics
2016, Springer London, Limited
in English
3662494515 9783662494516
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3
Hyperbolic Conservation Laws in Continuum Physics
2013, Springer London, Limited
in English
3662220199 9783662220191
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