| 摘要: |
| 文章运用Ito公式与能量估计,探讨了在运输噪声影响下,粘性守恒律方程的平面稀疏波在周期扰动下的稳定性问题.研究结果表明,在期望的意义下,具有运输噪声和周期初值的平面稀疏波会以t-1/4收敛到一个近似稀疏波. |
| 关键词: 周期扰动 稀疏波 粘性守恒律 运输噪声 Ito公式 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Stability problem of rarefaction plane waves of viscous conservation law equation with transport noise under periodic perturbations |
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zhangxu, daiwenrong
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College of Mathematics and Science, Shanghai Normal University,
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| Abstract: |
| This paper uses Ito""s formula and energy estimation to explore the stability of the plane rarefaction wave of the viscous conservation law equation with transport noise under periodic disturbance.The research results indicate that, in the sense of expectation, the plane rarefaction wave with transport noise and initial periodic values will converge to an approximate rarefaction wave at t-?. |
| Key words: periodic perturbation rarefaction wave viscous conservation law transport noise Ito formula. |
