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Systems of Conservation Laws 2

Denis Serre, I. N. Sneddon
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      Systems of conservation laws arise naturally in physics and chemistry. Following on from the previous volume, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. This tool is applied to the description of large amplitude wave propagation. Small waves are studied through geometrical optics. Special structures are presented in chapters on Rich and Temple systems. Finally, Serre explains why the initial-boundary value problem is far from trivial, with descriptions of the Kreiss–Lopatinski condition for well-posedness, with applications to shock wave stability, and certain problems in boundary layer theory. Throughout the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.
      Format: CONTRIBUTORS: Denis Serre, I. N. Sneddon EAN: 9780521633307 COUNTRY: United Kingdom PAGES: WEIGHT: 640 g HEIGHT: 244 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2000-02-03 CITY: GENRE: MATHEMATICS / Mathematical Analysis WIDTH: 170 cm SPINE:

      Book Themes:

      Differential calculus and equations, Applied mathematics

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      Systems of conservation laws arise naturally in physics and chemistry. Following on from the previous volume, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. This tool is applied to the description of large amplitude wave propagation. Small waves are studied through geometrical optics. Special structures are presented in chapters on Rich and Temple systems. Finally, Serre explains why the initial-boundary value problem is far from trivial, with descriptions of the Kreiss–Lopatinski condition for well-posedness, with applications to shock wave stability, and certain problems in boundary layer theory. Throughout the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.
      Format: CONTRIBUTORS: Denis Serre, I. N. Sneddon EAN: 9780521633307 COUNTRY: United Kingdom PAGES: WEIGHT: 640 g HEIGHT: 244 cm
      PUBLISHED BY: Cambridge University Press DATE PUBLISHED: 2000-02-03 CITY: GENRE: MATHEMATICS / Mathematical Analysis WIDTH: 170 cm SPINE:

      Book Themes:

      Differential calculus and equations, Applied mathematics

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      Be the first to write a review
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