Search

Your search keyword '"SEPE, ALICE"' showing total 4 results
Start Over Author "SEPE, ALICE"
4 results on '"SEPE, ALICE"'

1. Existence and Asymptotic Behavior of Solutions to a Quasilinear Hyperbolic-Parabolic Model of Vasculogenesis

Author

Di Russo, Cristiana and Sepe, Alice

Subjects
Mathematics - Analysis of PDEs, 35L60, 35L45, 35B40, 92C15
Abstract

We consider a hyperbolic-parabolic model of vasculogenesis in the multidimensional case. For this system we show the global existence of smooth solutions to the Cauchy problem, using suitable energy estimates. Since this model does not enter in the classical framework of dissipative problems, we analyze it combining the features of the hyperbolic and the parabolic parts. Moreover we study the asymptotic behavior of those solutions showing their decay rates by means of detailed analysis of the Green function for the linearized problem., Comment: 27 pages

Published
2011

4. EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A QUASI-LINEAR HYPERBOLIC-PARABOLIC MODEL OF VASCULOGENESIS.

Author

DI RUSSO, CRISTIANA and SEPE, ALICE

Subjects
*NEOVASCULARIZATION, *CAUCHY problem, *HYPERBOLIC functions, *PARTIAL differential equations, *GREEN'S functions
Abstract

We consider a hyperbolic-parabolic model of vasculogenesis in the multidimensional case. For this system we show the global existence of smooth solutions to the Cauchy problem, using suitable energy estimates. Since this model does not enter in the classical framework of dissipative problems, we analyze it combining the features of the hyperbolic and the parabolic parts. Moreover we study the asymptotic behavior of those solutions showing their decay rates by means of detailed analysis of the Green function for the linearized problem. [ABSTRACT FROM AUTHOR]

Published
2013
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results