Régularité des solutions de l'´ equation des milieux poreux dans R N, C. R. Acad. Sci. Paris Sér. A-B, vol.288, issue.2, pp.103-105, 1979. ,
Limit behaviour of focusing solutions to nonlinear diffusions, Communications in Partial Differential Equations, vol.23, issue.1, pp.307-332, 1998. ,
DOI : 10.1080/03605309808821347
ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES, Mathematical Models and Methods in Applied Sciences, vol.18, issue.04, pp.593-646, 2008. ,
DOI : 10.1142/S0218202508002796
Modelling and mathematical problems related to tumor evolution and its interaction with the immune system, Mathematical and Computer Modelling, vol.32, issue.3-4, pp.3-4, 2000. ,
DOI : 10.1016/S0895-7177(00)00143-6
On the limit of solutions of u t = ?u m as m ? ?, Rend. Sem. Mat. Univ. Politec. Torino. Fascicolo Speciale, pp.1-13, 1989. ,
Singular limit of perturbed nonlinear semigroups, Comm. Appl. Nonlinear Anal, vol.3, issue.4, pp.23-42, 1996. ,
La limite de la solution de u t = ? p u m lorsque m ? ?, C. R. Acad. Sci. Paris Sér. I Math, vol.321, issue.10, pp.1323-1328, 1995. ,
The Hele-Shaw problem as a ??????Mesa??? limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary, Transactions of the American Mathematical Society, vol.361, issue.03, pp.361-1241, 2009. ,
DOI : 10.1090/S0002-9947-08-04764-8
The Universal Dynamics of Tumor Growth, Biophysical Journal, vol.85, issue.5, pp.2948-2961, 2003. ,
DOI : 10.1016/S0006-3495(03)74715-8
Growth of necrotic tumors in the presence and absence of inhibitors, Mathematical Biosciences, vol.135, issue.2, pp.187-216, 1996. ,
DOI : 10.1016/0025-5564(96)00023-5
Individual-based and continuum models of growing cell populations: a comparison, Journal of Mathematical Biology, vol.14, issue.1, pp.4-5, 2009. ,
DOI : 10.1007/s00285-008-0212-0
Modelling solid tumour growth using the theory of mixtures, Mathematical Medicine and Biology, vol.20, issue.4, pp.341-366, 2003. ,
DOI : 10.1093/imammb/20.4.341
Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development, Mathematical and Computer Modelling, vol.23, issue.6, pp.47-87, 1996. ,
DOI : 10.1016/0895-7177(96)00019-2
Global existence and decay for solutions of the Hele???Shaw flow with injection, Interfaces and Free Boundaries, vol.16, issue.3 ,
DOI : 10.4171/IFB/321
On the Weak Solution of Moving Boundary Problems, IMA Journal of Applied Mathematics, vol.24, issue.1, pp.43-57, 1979. ,
DOI : 10.1093/imamat/24.1.43
Asymptotic Behaviour of Solutions of a Multidimensional Moving Boundary Problem Modeling Tumor Growth, Communications in Partial Differential Equations, vol.14, issue.5, pp.4-6, 2008. ,
DOI : 10.1080/03605300701743848
FORMATION OF NECROTIC CORES IN THE GROWTH OF TUMORS: ANALYTIC RESULTS, Acta Mathematica Scientia, vol.26, issue.4, pp.781-796, 2006. ,
DOI : 10.1016/S0252-9602(06)60104-5
The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water, Transactions of the American Mathematical Society, vol.282, issue.1, pp.183-204, 1984. ,
DOI : 10.2307/1999584
ABLATIVE HELE???SHAW MODEL FOR ICF FLOWS MODELING AND NUMERICAL SIMULATION, Mathematical Models and Methods in Applied Sciences, vol.21, issue.07, pp.1571-1600, 2011. ,
DOI : 10.1142/S0218202511005490
) as m ??? +???, IMA Journal of Applied Mathematics, vol.37, issue.2, pp.147-154, 1986. ,
DOI : 10.1093/imamat/37.2.147
Synopsis, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.51, issue.1-2, pp.93-107, 1981. ,
DOI : 10.1017/S0022112072002551
A hierarchy of cancer models and their mathematical challenges Mathematical models in cancer Discrete Contin, Dyn. Syst. Ser. B, vol.4, issue.1, pp.147-159, 2002. ,
On the mesa problem, Journal of Mathematical Analysis and Applications, vol.123, issue.2, pp.564-571, 1987. ,
DOI : 10.1016/0022-247X(87)90331-3
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model, Transactions of the American Mathematical Society, vol.360, issue.10, pp.5291-5342, 2008. ,
DOI : 10.1090/S0002-9947-08-04468-1
Asymptotic behavior of solutions of u t = ?? m (u) as m ? ? with inconsistent initial values, Analyse Mathématique et applications, pp.165-180, 1988. ,
Convergence of the porous media equation to Hele-Shaw. Nonlinear Anal. Ser. A: Theory Methods, pp.1111-1131, 2001. ,
Boundary layer formation in the transition from the Porous Media Equation to a??Hele???Shaw flow, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.20, issue.1, pp.13-36, 2003. ,
DOI : 10.1016/S0294-1449(02)00016-1
Zero specific heat limit and large time asymptotics for the one-phase Stefan problem ,
Models for the Growth of a Solid Tumor by Diffusion, Studies in Applied Mathematics, vol.9, issue.4, pp.317-340, 1972. ,
DOI : 10.1002/sapm1972514317
The mesa-limit of the porous medium equation and the Hele-Shaw problem, Differential Integral Equations, vol.15, issue.2, pp.129-146, 2002. ,
Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations, Journal of Differential Equations, vol.183, issue.2, pp.497-525, 2002. ,
DOI : 10.1006/jdeq.2001.4136
Uniqueness and Existence Results on the Hele-Shaw and the Stefan Problems, Archive for Rational Mechanics and Analysis, vol.168, issue.4, pp.299-328, 2003. ,
DOI : 10.1007/s00205-003-0251-z
Homogenization of a Hele???Shaw Problem in Periodic and Random Media, Archive for Rational Mechanics and Analysis, vol.6, issue.1, pp.507-530, 2009. ,
DOI : 10.1007/s00205-008-0161-1
Nonlinear modelling of cancer: bridging the gap between cells and tumours, Nonlinearity, vol.23, issue.1, pp.1-91, 2010. ,
DOI : 10.1088/0951-7715/23/1/R01
Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications, Journal of Mathematical Biology, vol.114, issue.4, pp.4-5, 2009. ,
DOI : 10.1007/s00285-008-0218-7
Fluidization of tissues by cell division and apoptosis, Proc. Natl. Acad. Sci. USA, pp.20863-20868, 2010. ,
DOI : 10.1073/pnas.1011086107
A singular limit problem for the porous medium equation, Journal of Mathematical Analysis and Applications, vol.140, issue.2, pp.456-466, 1989. ,
DOI : 10.1016/0022-247X(89)90077-2
A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators, Calculus of Variations and Partial Differential Equations, vol.10, issue.4 ,
DOI : 10.1007/s00526-013-0613-9
Composite waves for a cell population system modeling tumor growth and invasion, Chinese Annals of Mathematics, Series B, vol.45, issue.2, pp.295-318, 2013. ,
DOI : 10.1007/s11401-013-0761-4
The porous medium equation Mathematical theory " . Oxford Mathematical Monographs, 2007. ,