The Fundamental Solution of a Conservation Law without Convexity
نویسنده
چکیده
The signed fundamental solution of a scalar conservation law is constructed explicitly or implicitly when its flux is nonconvex. The flux is assumed to have finite number of inflection points. The fundamental solution constructed consists of a series of rarefaction waves, contact discontinuities and a shock. These analytically constructed fundamental solutions are also compared with numerical approximations, which possess the structure of the analytically constructed fundamental solution.
منابع مشابه
Structure of fundamental solutions of a conservation law without convexity
This note is devoted to reveal the structure of signed fundamental solutions of a conservation law without the convexity assumption. It is assumed that the flux is in C(R) and has a finite number of inflection points. Fundamental solutions of the case have been constructed in [9] employing convex and concave envelopes. This construction provides useful information on the structure of a fundamen...
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