| Autor: |
GHOSHAL, S. S., JUNCA, S., PARMAR, A. |
| Předmět: |
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| Zdroj: |
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 5, p6121-6136, 16p |
| Abstrakt: |
For the Burgers' equation, the entropy solution becomes instantly BV with only L∞ initial data. For conservation laws with genuinely nonlinear discontinuous flux, it is well known that the BV regularity of entropy solutions is lost. Recently, this regularity has been proved to be fractional with s = 1/2. Moreover, for less nonlinear flux, the solution still has a fractional regularity 0< s ≤ 1/2. The resulting general rule is that the regularity of entropy solutions for a discontinuous flux is less than for a smooth flux. In this paper, an optimal geometric condition on the discontinuous flux is used to recover the same regularity as for the smooth flux with the same kind of nonlinearity. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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