- 作者: 林正英
- 作者服務機構: 美國喬治梅森大學
- 中文摘要:
本論文研究一非線性波的性質。此波在流體力學的理論出現,其描述方程式為 (方程式無法摘錄) 。此方程式為不
可積。當p>4且初時能量?小時,此波的振幅隨時間t的增大而呈(1+∣t︱) 的減弱。 - 英文摘要: We discuss several features of a nonlinear modulated dispersive wave which is governed by the equa-tion (方程式無法摘錄) . This equation is of physical interest since it arises in fluid dynamics and isclosely related to the well-known nonlinear Schrodinger equation (方程式無法摘錄) . The equation underdiscussion is not integrable. Also the localized smooth solution decays as (方程式無法摘錄) if the initialdatum is small enough in certain norms and p>4.
- 中文關鍵字: nonlinear dispersive wave; modulated wave; integrability; time decay
- 英文關鍵字: --