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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Displaying similar documents to “Smooth approximations of global in time solutions to scalar conservation laws.”
Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity.
Generalized solutions describing singularity interaction.
Danilov, V.G. (2002)
International Journal of Mathematics and Mathematical Sciences
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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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Wave front tracking in systems of conservation laws
Rinaldo M. Colombo (2004)
Applications of Mathematics
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This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front Tracking.
Viscous profiles for traveling waves of scalar balance laws: The uniformly hyperbolic case.
Härterich, Jörg (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Invariant manifolds and alternative approaches to reduce perturbation theory: Dissipative systems.
Morris, Hedley C., Sheil, Derek, Dodd, Roger (1984)
International Journal of Mathematics and Mathematical Sciences
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Classical solutions to the scalar conservation law with discontinuous initial data
Jędrzej Jabłoński (2013)
Colloquium Mathematicae
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Sufficient and necessary conditions for the existence and uniqueness of classical solutions to the Cauchy problem for the scalar conservation law are found in the class of discontinuous initial data and non-convex flux function. Regularity of rarefaction waves starting from discontinuous initial data and their dependence on the flux function are investigated and illustrated in a few examples.