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APPML
2006
61views more  APPML 2006»
14 years 9 months ago
A complete classification of simultaneous blow-up rates
We study the simultaneous blow-up rates of a system of two heat equations coupled through the boundary in a nonlinear way. We complete the previous known results by covering the w...
Cristina Brändle, Fernando Quirós, Jul...
APPML
2006
61views more  APPML 2006»
14 years 9 months ago
On a mathematical model of immune competition
This work deals with the qualitative analysis of a nonlinear integro-differential model of immune competition with special attention to the dynamics of tumor cells contrasted by t...
C. Cattani, Alexandre G. Ciancio, B. Lods
APPML
2006
120views more  APPML 2006»
14 years 9 months ago
Inversion of general tridiagonal matrices
In the current work, the authors present a symbolic algorithm for finding the inverse of any general nonsingular tridiagonal matrix. The algorithm is mainly based on the work pres...
Moawwad E. A. El-Mikkawy, Abdelrahman Karawia
APPML
2006
96views more  APPML 2006»
14 years 9 months ago
The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations
We consider the motion of a thin filament of viscous fluid in a HeleShaw cell. The appropriate thin film analysis and use of Lagrangian variables leads to the Cauchy-Riemann syste...
C. L. Farmer, Sam D. Howison
APPML
2006
71views more  APPML 2006»
14 years 9 months ago
The polynomial solution to the Sylvester matrix equation
For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-u...
Qingxi Hu, Daizhan Cheng