涓浗绉戝闄㈡暟瀛︿笌绯荤粺绉戝鐮旂┒闄㈡湡鍒婄綉

鏁板瀛︽姤 鈥衡�� 2009, Vol. 52 鈥衡�� Issue (6): 1111-1118.DOI: 10.12386/A2009sxxb0139

鈥� 璁烘枃 鈥� 涓婁竴绡�    涓嬩竴绡�

骞夸箟瓒呭脊鎬ф潌鏂圭▼瑙g殑鐖嗙牬

涓佷腹骞�, 鐭虫晱, 姣曚簯钑�   

  1. 姹熻嫃澶у鐞嗗闄� 闀囨睙 212013
  • 鏀剁鏃ユ湡:2008-07-16 淇洖鏃ユ湡:2009-02-06 鍑虹増鏃ユ湡:2009-11-15 鍙戝竷鏃ユ湡:2009-11-15
  • 鍩洪噾璧勫姪:

    鍥藉鑷劧绉戝鍩洪噾璧勫姪椤圭洰(10771088);姹熻嫃鐪佽嚜鐒剁瀛﹀熀閲戣祫鍔╅」鐩�(BK2007098);姹熻嫃澶у楂樼骇浜烘墠涓撻」鍩洪噾璧勫姪椤圭洰(07JDG024)

The Blow-up of Solution for Generalized Hyperelastic-rod Equation

Dan Ping DING Min SHIYun Rui BI   

  1. Faculty of science, Jiangsu University, Zhenjiang 212013, P. R. China
  • Received:2008-07-16 Revised:2009-02-06 Online:2009-11-15 Published:2009-11-15

鎽樿锛�

鏈枃涓昏鐮旂┒骞夸箟瓒呭脊鎬ф潌鏂圭▼瑙g殑Cauchy闂鍙婅В鐨勭垎鐮存潯浠�, 瑙e湪鏈夐檺鏃堕棿鍐呯垎鐮寸殑鏉′欢鍙栧喅浜�:鏈�灏忕殑 鍒濆閫熷害鐨勬搴︾殑鍙樺寲鑼冨洿浠ュ強鍒濆鍊煎拰骞夸箟鍑芥暟G(μ)鐨勬渶澶у彉鍒�.

 

鍏抽敭璇�: 瑙g殑鐖嗙牬, 骞夸箟瓒呭脊鎬ф潌鏂圭▼, 瑙g殑灞�閮ㄥ瓨鍦ㄦ��

Abstract:

We will study the condition of blow-up for the generalized hyperelastic-rod equation. The solution blowing up in finite time lies in the scope of minimal initial velocity and the maximal variation of intial date and generalized functional G(μ).

 

Key words: blow-up of solution, generalized hyperelastic-rod equation, local existence of solution

涓浘鍒嗙被鍙�: