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APPML
2005
63views more  APPML 2005»
14 years 9 months ago
A fourth-order eigenvalue problem arising in viscoelastic flow
We consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the study of viscoelastic shear flow. The eigenvalues and eigenfunctions are computed by a s...
David O. Olagunju
APPML
2004
76views more  APPML 2004»
14 years 9 months ago
Between quasi-convex and convex set-valued mappings
Abstract. The aim of this paper is to give sufficient conditions for a quasiconvex setvalued mapping to be convex. In particular, we recover several known characterizations of conv...
J. Benoist, N. Popovici
APPML
2004
84views more  APPML 2004»
14 years 9 months ago
Renormalization group methods for nonlinear parabolic equations
ABSTRACT.Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher ...
H. Merdan, G. Caginalp
APPML
2004
56views more  APPML 2004»
14 years 9 months ago
Interior spikes of a singularly perturbed Neumann problem with potentials
In this paper we prove that a singularly perturbed Neumann problem with potentials admits the existence of interior spikes concentrating in maxima and minima of an auxiliary functi...
A. Pomponio, S. Secchi
APPML
2004
45views more  APPML 2004»
14 years 9 months ago
The dissipative linear boltzmann equation
We introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kern...
Giampiero Spiga, G. Toscani