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A numerical method for some initial‐value problems of one scalar hyperbolic conservation law
Author(s) -
Kunik Matthias
Publication year - 1992
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670150705
Subject(s) - conservation law , mathematics , convexity , scalar (mathematics) , initial value problem , hyperbolic partial differential equation , mathematical analysis , weak solution , law , partial differential equation , geometry , economics , political science , financial economics
We examine the existence and regularity results for a scalar conservation law with a convexity condition and solve its weak solution with shocks by using a special method of characterization combined with a representation formula for the weak solution.