The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-362
Full Name: Wannika Jumpen
Position: Lecturer
Age: ON
Sex: Female
Address: 272 Rama VI Road, Ratchathewi District, Bangkok 10400
Country: THAILAND
Tel: +66 2201 5541
Tel prefix: +66
Fax: +66 2201 5343
E-mail address: scwjp@mahidol.ac.th
Other E-mails: pa_sawangtong@yahoo.com
Title of the Paper: blow-up solutions of degenerate parabolic problems
Authors as they appear in the Paper: Panumart Sawangtong, Wannika Jumpen
Email addresses of all the authors: pa_sawangtong@yahoo.com, scwjp@mahidol.ac.th
Number of paper pages: 11
Abstract: In this article, we study the degenerate parabolic problem, x^q(u_t)-(x^beta(u_x))_x=x^qf(u), satisfying the Dirichlet boundary condition and a nonnegative initial condition where q and beta are given constants and f is a suitable function. We show that under certain conditions the degenerate parabolic problem has a blow-up solution and the blow-up set of such a blow-up solution is the whole domain of x Furthermore, we give the sufficient condition to blow-up in finite time. Finally, we generalize the degenerate parabolic problem into the general form,k(x)u_t-(p(x)u_x)_x=k(x)f(u). Under appropriate assumptions on functions k, p and f we still obtain the same results as the previous problem.
Keywords: Degenerate parabolic problems, Finite time blow-up, Blow-up set, Blow-up solution
EXTENSION of the file: .pdf
Special (Invited) Session: Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
Organizer of the Session: 102-089
How Did you learn about congress:
IP ADDRESS: 58.9.168.45
