-
1
-
-
45749087596
-
-
BERESTYCKI, H. (2002) The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations, In: Nonlinear PDEs in Condensed Matter and Reactive Flows, H. Berestycki and Y. Pomeau eds., Kluwer Academic Publ., 2002, pp. 1-45.
-
BERESTYCKI, H. (2002) The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations, In: Nonlinear PDEs in Condensed Matter and Reactive Flows, H. Berestycki and Y. Pomeau eds., Kluwer Academic Publ., 2002, pp. 1-45.
-
-
-
-
2
-
-
0036298883
-
Front propagation in periodic excitable media
-
BERESTYCKI, H. & HAMEL, F. (2002) Front propagation in periodic excitable media. Comm. Pure Appl. Math. 55, 949-1032.
-
(2002)
Comm. Pure Appl. Math
, vol.55
, pp. 949-1032
-
-
BERESTYCKI, H.1
HAMEL, F.2
-
3
-
-
16644384785
-
The speed of propagation for KPP type problems (periodic framework)
-
BERESTYCKI, H., HAMEL, F. & NADIRASHVILI, N. (2005) The speed of propagation for KPP type problems (periodic framework). J. Eur. Math. Soc. 7, 173-213.
-
(2005)
J. Eur. Math. Soc
, vol.7
, pp. 173-213
-
-
BERESTYCKI, H.1
HAMEL, F.2
NADIRASHVILI, N.3
-
4
-
-
11944266033
-
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
-
BERESTYCKI, H., HAMEL, F. & NADIRASHVILI, N. (2005) Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Comm. Math. Phys. 253(2), 451-480.
-
(2005)
Comm. Math. Phys
, vol.253
, Issue.2
, pp. 451-480
-
-
BERESTYCKI, H.1
HAMEL, F.2
NADIRASHVILI, N.3
-
5
-
-
22244440170
-
Analysis of the periodically fragmented environment model: I - The effect of heterogeneous environnement on species conservations
-
BERESTYCKI, H., HAMEL, F. & ROQUES, L. (2005) Analysis of the periodically fragmented environment model: I - The effect of heterogeneous environnement on species conservations. J. Math. Biol. 51(1), 75-113.
-
(2005)
J. Math. Biol
, vol.51
, Issue.1
, pp. 75-113
-
-
BERESTYCKI, H.1
HAMEL, F.2
ROQUES, L.3
-
6
-
-
16644386250
-
Analysis of the periodically fragmented environment model: II - Biological invasions and pulsating travelling fronts
-
BERESTYCKI, H., HAMEL, F. & ROQUES, L. (2005) Analysis of the periodically fragmented environment model: II - Biological invasions and pulsating travelling fronts. J. Math. Pures Appl. (9) 84(8), 1101-1146.
-
(2005)
J. Math. Pures Appl. (9)
, vol.84
, Issue.8
, pp. 1101-1146
-
-
BERESTYCKI, H.1
HAMEL, F.2
ROQUES, L.3
-
7
-
-
13844311748
-
On the method of moving planes and the sliding method
-
BERESTYCKI, H. & NIRENBERG, L. (1991) On the method of moving planes and the sliding method. Bol. Soc. Bras. Mat. 22, 1-37.
-
(1991)
Bol. Soc. Bras. Mat
, vol.22
, pp. 1-37
-
-
BERESTYCKI, H.1
NIRENBERG, L.2
-
9
-
-
84990602584
-
The principal eigenvalue and maximum principle for second order elliptic operators in general domains
-
BERESTYCKI, H., NIRENBERG, L. & VARADHAN, S. R. S. (1994) The principal eigenvalue and maximum principle for second order elliptic operators in general domains. Comm. Pure Appl. Math. 47, 47-92.
-
(1994)
Comm. Pure Appl. Math
, vol.47
, pp. 47-92
-
-
BERESTYCKI, H.1
NIRENBERG, L.2
VARADHAN, S.R.S.3
-
10
-
-
2442636449
-
Singular limit and homogenization for flame propagation in periodic excitable media
-
CAFFARELLI, L. A., LEE, K.-A. & MELLET, A. (2004) Singular limit and homogenization for flame propagation in periodic excitable media. Arch. Ration. Mech. Anal. 172(2), 153-190.
-
(2004)
Arch. Ration. Mech. Anal
, vol.172
, Issue.2
, pp. 153-190
-
-
CAFFARELLI, L.A.1
LEE, K.-A.2
MELLET, A.3
-
11
-
-
33644999049
-
Homogenization and flame propagation in periodic excitable media: The asymptotic speed of propagation
-
CAFFARELLI, L. A., LEE, K.-A. & MELLET, A. (2006) Homogenization and flame propagation in periodic excitable media: The asymptotic speed of propagation. Comm. Pure Appl. Math. 59(4), 501-525.
-
(2006)
Comm. Pure Appl. Math
, vol.59
, Issue.4
, pp. 501-525
-
-
CAFFARELLI, L.A.1
LEE, K.-A.2
MELLET, A.3
-
12
-
-
45749119394
-
Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media
-
submitted
-
EL SMAILY, M. Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media, submitted.
-
-
-
EL SMAILY, M.1
-
13
-
-
45749099948
-
Homogenization and influence of fragmentation in a biological invasion model
-
to appear in
-
EL SMAILY, M., HAMEL, F. & ROQUES, L. (2007) Homogenization and influence of fragmentation in a biological invasion model, to appear in Discrete Contin. Dyn. Syst.
-
(2007)
Discrete Contin. Dyn. Syst
-
-
EL SMAILY, M.1
HAMEL, F.2
ROQUES, L.3
-
14
-
-
0003299218
-
Mathematical Aspects of Reacting and Diffusing Systems
-
Springer Verlag, Berlin-New York
-
FIFE, P.C. (1979) Mathematical Aspects of Reacting and Diffusing Systems, Lecture Notes in Biomathematics 28, Springer Verlag, Berlin-New York.
-
(1979)
Lecture Notes in Biomathematics
, vol.28
-
-
FIFE, P.C.1
-
16
-
-
21244471879
-
-
Preprint 21/, Max-Planck Institut für Mathimatik in den Naturwissenschaften, Leipzig
-
HEINZE, S. Large convection limits for KPP fronts, Preprint 21/(2005), Max-Planck Institut für Mathimatik in den Naturwissenschaften, Leipzig.
-
(2005)
Large convection limits for KPP fronts
-
-
HEINZE, S.1
-
17
-
-
34248191611
-
Spatial dynamics of invasion in sinusoidally varying enviroments
-
KINEZAKI, N., KAWASAKI, K. & SHIGESADA, N. (2006) Spatial dynamics of invasion in sinusoidally varying enviroments. Popul. Ecol. 48, 263-270.
-
(2006)
Popul. Ecol
, vol.48
, pp. 263-270
-
-
KINEZAKI, N.1
KAWASAKI, K.2
SHIGESADA, N.3
-
18
-
-
0346338087
-
Modeling biological invasions into periodically fragmented environments
-
KINEZAKI, N., KAWASAKI, K., TAKASU, F. & SHIGESADA, N. (2003) Modeling biological invasions into periodically fragmented environments. Theor. Popul. Biol. 64, 291-302.
-
(2003)
Theor. Popul. Biol
, vol.64
, pp. 291-302
-
-
KINEZAKI, N.1
KAWASAKI, K.2
TAKASU, F.3
SHIGESADA, N.4
-
19
-
-
45749138249
-
-
KOLMOGOROV, A. N., PETROVSKY, I. G. & PISKUNOV, N. S. (1937) Étude de l' équation de la diffusion avec croissance de la quantité de matiére et son application a un probléme biologique, Bulletin Université d'Etat à Moscou (Bjul. Moskowskogo Gos. Univ.), Série internationale A1, pp. 1-26.
-
KOLMOGOROV, A. N., PETROVSKY, I. G. & PISKUNOV, N. S. (1937) Étude de l' équation de la diffusion avec croissance de la quantité de matiére et son application a un probléme biologique, Bulletin Université d'Etat à Moscou (Bjul. Moskowskogo Gos. Univ.), Série internationale A1, pp. 1-26.
-
-
-
-
20
-
-
45749126904
-
-
MURRAY, J. D. (2002) Mathematical biology. I. An introduction. Third edition. Interdisciplinary Applied Mathematics, 17. Springer-Verlag, New York.
-
MURRAY, J. D. (2002) Mathematical biology. I. An introduction. Third edition. Interdisciplinary Applied Mathematics, 17. Springer-Verlag, New York.
-
-
-
-
21
-
-
45749097674
-
Existance and uniqueness of the solution of a space-time periodic reaction-diffusion equation
-
preprint
-
NADIN, G. (2007) Existance and uniqueness of the solution of a space-time periodic reaction-diffusion equation, preprint.
-
(2007)
-
-
NADIN, G.1
-
23
-
-
21244461106
-
Reaction-diffusion front speeds in spatially-temporally periodic shear flows
-
NOLEN, J. & XIN, J. (2003) Reaction-diffusion front speeds in spatially-temporally periodic shear flows. SIAM J. Multiscale Model. Simulation 1(4), 554-570.
-
(2003)
SIAM J. Multiscale Model. Simulation
, vol.1
, Issue.4
, pp. 554-570
-
-
NOLEN, J.1
XIN, J.2
-
24
-
-
28444472406
-
Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle
-
NOLEN, J. & XIN, J. (2005) Existence of KPP Type Fronts in Space-Time Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle, Discrete and Continuous Dynamical Systems 13(5), 1217-1234.
-
(2005)
Discrete and Continuous Dynamical Systems
, vol.13
, Issue.5
, pp. 1217-1234
-
-
NOLEN, J.1
XIN, J.2
-
25
-
-
33845907733
-
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
-
NOLEN, J., RUDD, M. & XIN, J. (2005) Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds, Dynamics of PDE, 2(1), 1-24.
-
(2005)
Dynamics of PDE
, vol.2
, Issue.1
, pp. 1-24
-
-
NOLEN, J.1
RUDD, M.2
XIN, J.3
-
26
-
-
0008827176
-
Reaction-diffusion fronts in periodically layered media
-
PAPANICOLAOU, G. & XIN, X. (1991) Reaction-diffusion fronts in periodically layered media. J. Stat. Phys. 63, 915-931.
-
(1991)
J. Stat. Phys
, vol.63
, pp. 915-931
-
-
PAPANICOLAOU, G.1
XIN, X.2
-
27
-
-
0002138177
-
Some open issues in premixed turbulent combustion
-
J. Buckmaster & T. Takeno editors, Springer-Verlag, Berlin, pp
-
RONNEY, P. (1995) Some open issues in premixed turbulent combustion. In: J. Buckmaster & T. Takeno (editors), Mathematical modelling in combustion science, Lect. Notes Phys., Springer-Verlag, Berlin, pp. 3-22.
-
(1995)
Mathematical modelling in combustion science, Lect. Notes Phys
, pp. 3-22
-
-
RONNEY, P.1
-
29
-
-
0018783879
-
Spatial segregation of interacting species
-
SHIGESADA, N., KAWASAKI, K. & TERAMOTO, E. (1979) Spatial segregation of interacting species. J. Theoret. Biol. 79, 83-99.
-
(1979)
J. Theoret. Biol
, vol.79
, pp. 83-99
-
-
SHIGESADA, N.1
KAWASAKI, K.2
TERAMOTO, E.3
-
30
-
-
0348143251
-
On spreading speeds and traveling waves for growth and migration models in a periodic habitat
-
WEINBERGER, H. F. (2002) On spreading speeds and traveling waves for growth and migration models in a periodic habitat. J. Math. Biol. 45(6), 511-548.
-
(2002)
J. Math. Biol
, vol.45
, Issue.6
, pp. 511-548
-
-
WEINBERGER, H.F.1
-
32
-
-
0000384621
-
Existence and uniqueness of travelling waves in a reaction-diffusion equation with combustion non-linearity
-
XIN, X. (1991) Existence and uniqueness of travelling waves in a reaction-diffusion equation with combustion non-linearity, Indiana Univ. Math. J. 40, 985-1008.
-
(1991)
Indiana Univ. Math. J
, vol.40
, pp. 985-1008
-
-
XIN, X.1
-
33
-
-
0002125162
-
Existence and stability of travelling waves in periodic media governed by a bistable non-linearity
-
XIN, X. (1991) Existence and stability of travelling waves in periodic media governed by a bistable non-linearity. J. Dyn. Diff. Eq. 3, 541-573.
-
(1991)
J. Dyn. Diff. Eq
, vol.3
, pp. 541-573
-
-
XIN, X.1
-
34
-
-
21144464889
-
Existence of planar flame fronts in convective-diffusive periodic media
-
XIN, X. (1992) Existence of planar flame fronts in convective-diffusive periodic media. Arch. Ration. Mech. Anal. 121, 205-233.
-
(1992)
Arch. Ration. Mech. Anal
, vol.121
, pp. 205-233
-
-
XIN, X.1
-
35
-
-
0034206088
-
Analysis and modeling of front propagation in heterogeneous media
-
XIN, J. X. (2000) Analysis and modeling of front propagation in heterogeneous media. SIAM Rev. 42, 161-230.
-
(2000)
SIAM Rev
, vol.42
, pp. 161-230
-
-
XIN, J.X.1
-
36
-
-
0034206088
-
Front propagation in heterogeneous media
-
XIN, J. X. (2000) Front propagation in heterogeneous media. SIAM Rev. 42, 161-230.
-
(2000)
SIAM Rev
, vol.42
, pp. 161-230
-
-
XIN, J.X.1
-
37
-
-
0022285103
-
-
Cons. Bureau, New York
-
ZELDOVICH, Y. B., BARENBLATT, G. I., LIBOVICH, V. B. & MACKVILADZE, G. M. (1985) The Mathematical Theory of Combustion and Explosions, Cons. Bureau, New York.
-
(1985)
The Mathematical Theory of Combustion and Explosions
-
-
ZELDOVICH, Y.B.1
BARENBLATT, G.I.2
LIBOVICH, V.B.3
MACKVILADZE, G.M.4
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