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Nonlinear Conservation Laws and Applications (Hardcover, 2011 Ed.)
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Nonlinear Conservation Laws and Applications (Hardcover, 2011 Ed.)
Series: The IMA Volumes in Mathematics and its Applications, 153
Expected to ship within 12 - 17 working days
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This volume contains the proceedings of the Summer Program on
Nonlinear Conservation Laws and Applications held at the IMA on
July 13--31, 2009. Hyperbolic conservation laws is a classical
subject, which has experienced vigorous growth in recent years. The
present collection provides a timely survey of the state of the art
in this exciting field, and a comprehensive outlook on open
problems. Contributions of more theoretical nature cover the
following topics: global existence and uniqueness theory of
one-dimensional systems, multidimensional conservation laws in
several space variables and approximations of their solutions,
mathematical analysis of fluid motion, stability and dynamics of
viscous shock waves, singular limits for viscous systems, basic
principles in the modeling of turbulent mixing, transonic flows
past an obstacle and a fluid dynamic approach for isometric
embedding in geometry, models of nonlinear elasticity, the Monge
problem, and transport equations with rough coefficients. In
addition, there are a number of papers devoted to applications.
These include: models of blood flow, self-gravitating compressible
fluids, granular flow, charge transport in fluids, and the modeling
and control of traffic flow on networks.
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