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math.AP2003★ 2 cited
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\…
math.AP2003
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…