Asymptotic oscillations of solutions of scalar conservation laws with convexity under the action of a linear excitation
Asymptotic oscillations of solutions of scalar conservation laws with convexity under the action of a linear excitation
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DOI：
10.1090/qam/1079918
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发表时间：
1990-12
影响因子：
0.8
通讯作者：
Athanasios N. Lyberopoulos
中科院分区：
文献类型：
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作者：
Athanasios N. Lyberopoulos
∂t u(x，t)+∂x f(u(x，t))−u(x，t)=0.本文的目的是研究在L周期且均值为零的连续初值条件下，该方程解的渐近形状。我们考虑f(U)∈C2(−∞，∞)严格(但不一定一致)凸
∂ t u(x,t)+∂ x f(u(x,t))−u(x,t)=0. Our aim here is to study the asymptotic shape of solutions of this equation under continuous initial data that are L-periodic and have mean zero. We consider f(u)∈C 2 (−∞,∞) which is strictly (but not necessarily uniformly) convex