Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.
Martinez, Antonio Olivas, Omel'yanov, Georgy A. (2009)
International Journal of Mathematics and Mathematical Sciences
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Martinez, Antonio Olivas, Omel'yanov, Georgy A. (2009)
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Systems of mixed hyperbolic-elliptic conservation laws can serve as models for the evolution of a liquid-vapor fluid with possible sharp dynamical phase changes. We focus on the equations of ideal hydrodynamics in the isothermal case and introduce a thermodynamically consistent solution of the Riemann problem in one space dimension. This result is the basis for an algorithm of ghost fluid type to solve the sharp-interface model numerically. In particular the approach allows to resolve...