91 citations · 512 across the 65 of their papers we have counts for
4 papers · 2 filters
On the Convergence Rate of Vanishing Viscosity Approximations
Alberto Bressan, Tong Yang
Given a strictly hyperbolic, genuinely nonlinear system of conservation laws, we prove the a priori bound $\big\|u(t,\cdot)-u^\ve(t,\cdot)\big\|_{Ł^1}= Ø(1)(1+t)\cdot \sqrt\ve|\ln\…
A Sharp Decay Estimate for Positive Nonlinear Waves
Alberto Bressan, Tong Yang
We consider a strictly hyperbolic, genuinely nonlinear system of conservation laws in one space dimension. A sharp decay estimate is proved for the positive waves in an entropy wea…
A Lemma and a Conjecture on the Cost of Rearrangements
Alberto Bressan
Consider a stack of books, containing both white and black books. Suppose that we want to sort them out, putting the white books on the right, and the black books on the left (fig.…
An Ill Posed Cauchy Problem for a Hyperbolic System in Two Space Dimensions
Alberto Bressan
The theory of weak solutions for nonlinear conservation laws is now well developed in the case of scalar equations [3] and for one-dimensional hyperbolic systems [1, 2]. For system…