HYDRODYNAMIC TYPE SYSTEMS AND THEIR INTEGRABILITY Introduction for Applied Mathematicians

@inproceedings{El2014HYDRODYNAMICTS,
  title={HYDRODYNAMIC TYPE SYSTEMS AND THEIR INTEGRABILITY Introduction for Applied Mathematicians},
  author={Gennady A. El},
  year={2014}
}
Hydrodynamic type systems are systems of quasilinear equations of the first order. They naturally arise in continuum mechanics but also occur as a result of semi-classical approximations of nonlinear dispersive waves. The mathematical theory of one-dimensional hyperbolic quasilinear equations initiated by B. Riemann in XIX century has been developed into a rich and diverse area of applied mathematics including, e.g., theory of shock waves. Among the classical methods of integration of one… CONTINUE READING

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