帶有非線性耗散項(xiàng)波方程的整體吸引子.pdf

1、Thesis for M aster’s Degree, Shanxi University, 2014Global attractors for nonlinear wave equations w ith nonlinear dissipative term sStudent NameSupervisorM ajorField of Research DepartmentJ ingchan Pr of. Lisheng j ia

2、Op er at ions Resear ch and Cy ber net ics N onl inearwav e equat ions Schoolof M at hem at icalSciencesResearch Duration Sep t ember , 2011— December , 2014December , 2014ContentsA b s t r a c tin C h ine se .........

3、.................................................................................................................iA b s t r a c t ..........................................................................................

4、......................................................iiiIn t r o d u c t io n .........................................................................................................................................1C h

5、 a p t e r1 P r e l im in a r ie s ...............................................................................................................4C h a p t e r2 E x ist ence o f w eak so l ut ions t o t h e no nl ine

6、 a rwav e equat ions w it hno nl ine a rd issip at iv e t e r m s ......................................................................................................... 6C h a p t e r3 G l o b a la t t r a c t o r s

7、 fo rno nl ine a rwav e equat ions w it h no nl ine a rdissi­p a t iv e t e r m s .................................................................................................................................

8、...... 9R efer ences ......................................................................................................................................... 26R esear ch achiev em ent s ...............................

9、.............................................................................. 28A ckno w l e dg m ent s ...................................................................................................................

10、....... 29P er sonalp r o fil e s ............................................................................................................................. 30L e t t e ro f c o m m it m e nt..........................