For fractional Laplacian order 1 < alpha < 2, solutions of the scaled fractal Burgers equation converge in L^2 to the entropy shock, with a shift and a convergence rate that tends to zero.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Inviscid limit to the shock waves for the fractal Burgers equation
For fractional Laplacian order 1 < alpha < 2, solutions of the scaled fractal Burgers equation converge in L^2 to the entropy shock, with a shift and a convergence rate that tends to zero.