Generalized solutions describing singularity interaction.
Danilov, V.G. (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.”
Generalized solutions describing singularity interaction.
Interaction of shock waves in gas dynamics: uniform in time asymptotics.
García-Alvarado, M.G., Flores-Espinoza, R., Omel'yanov, G.A. (2005)
International Journal of Mathematics and Mathematical Sciences
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Smooth approximations of global in time solutions to scalar conservation laws.
Danilov, V.G., Mitrovic, D. (2009)
Abstract and Applied Analysis
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Solitary waves, solitons and related (nonlinear) waves in dissipative media.
Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Wave growth patterns in a nonlinear dispersive system with instability and dissipation.
Gera, Dinesh, Gautam, Mridul, Gangarao, Hota V.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques
Christian Merkle, Christian Rohde (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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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...