Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity | Zendy

Antonio OlivasMartínez | Zendy; G. A. Omel’yanov | Zendy

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Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity

Author(s) -

Antonio OlivasMartínez,

G. A. Omel’yanov

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/101647

Subject(s) - mathematics , regular polygon , initial value problem , mathematical analysis , cauchy distribution , nonlinear system , riemann hypothesis , convex function , geometry , physics , quantum mechanics

We consider the Riemann problem for the Hopf equation with concave-convex flux functions. Applying the weak asymptotics method we construct a uniform in time description for the Cauchy data evolution and show that the use of this method implies automatically the appearance of the Oleinik E-condition

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