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Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
2D structured populations semigroup asymptotic behavior malthus parameter
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2010/12/6
Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient’s supply and the metastatic process. In this paper, ...
Analysis of semidiscretization of the compressible Navier-Stokes equations
Navier-Stokes equations barotropic compressible viscous fluid weak solution
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2010/12/7
The objective of this work is to present the existence result of for the nonsteady compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with a slip bounda...
Pair-Wise Cluster Analysis
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2010/12/15
This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard app...
Categorical Non-standard Analysis
Categorical Non-standard Analysis
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2010/11/26
In this paper we propose a new framework for Non-standard Analysis ([4]) in terms of category theory ([3],[1]).
Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel
Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
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2010/12/10
We consider transmission over a wiretap channel where both the main channel and the wiretapper’s channel are Binary Erasure Channels (BEC).
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
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2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...
Edinburgh Lectures on Geometry, Analysis and Physics
Edinburgh Lectures on Geometry Analysis Physics
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2010/12/13
These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved proble...
On semi-Classical Questions Related to Signal Analysis
Semi-classical analysis Schrö dinger operator signal analysis arterial blood pressure
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2010/12/14
This study explores the reconstruction of a signal using spectral quantities associated with some self-adjoint realization of an h-dependent Schrödinger operator −h2 d2 dx2 − y(x), h ...