Hyperbolic Conservation Laws in Continuum Physics
Hyperbolic Conservation Laws in Continuum Physics
Dafermos, Constantine M.
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
04/2026
1045
Dura
Inglês
9783662724446
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I Balance Laws.- II Introduction to Continuum Physics.- III Hyperbolic Systems of Balance Laws.- IV The Cauchy Problem.- V Entropy and the Stability of Classical Solutions.- VI The General Theory for Scalar Conservation Laws.- VII Hyperbolic Systems of Balance Laws in One-Space Dimension.- VIII Admissible Shocks.- IX Admissible Wave Fans and the Riemann Problem.- X Generalized Characteristics.- XI Scalar Conservation Laws in One Space Dimension.- XII Genuinely Nonlinear Systems of Two Conservation Laws.- XIII The Random Choice Method.- XIV The Front Tracking Method and Standard Riemann Semigroups.- XV Construction of BV Solutions by the Vanishing Viscosity Method.- XVI BV Solutions for Systems of Balance Laws.- XVII Compensated Compactness.- XVIII Steady and Self-similar Solutions in Multi-Space Dimensions.- XIX Euler Equations.- Bibliography.- Author Index.- Subject Index.
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aerodynamics;conservation laws;continuum mechanics;entropy;hyperbolic systems;mechanics;partial differential equations;shock waves;stability;thermodynamics;fluid- and aerodynamics
I Balance Laws.- II Introduction to Continuum Physics.- III Hyperbolic Systems of Balance Laws.- IV The Cauchy Problem.- V Entropy and the Stability of Classical Solutions.- VI The General Theory for Scalar Conservation Laws.- VII Hyperbolic Systems of Balance Laws in One-Space Dimension.- VIII Admissible Shocks.- IX Admissible Wave Fans and the Riemann Problem.- X Generalized Characteristics.- XI Scalar Conservation Laws in One Space Dimension.- XII Genuinely Nonlinear Systems of Two Conservation Laws.- XIII The Random Choice Method.- XIV The Front Tracking Method and Standard Riemann Semigroups.- XV Construction of BV Solutions by the Vanishing Viscosity Method.- XVI BV Solutions for Systems of Balance Laws.- XVII Compensated Compactness.- XVIII Steady and Self-similar Solutions in Multi-Space Dimensions.- XIX Euler Equations.- Bibliography.- Author Index.- Subject Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.