-
1
-
-
49349119963
-
Multidimensional nonlinear diffusions arising in population genetics
-
Aronson D.G., Weinberger H.F. Multidimensional nonlinear diffusions arising in population genetics. Adv. Math. 1978, 30:33-76.
-
(1978)
Adv. Math.
, vol.30
, pp. 33-76
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
2
-
-
54049103533
-
Dynamique en temps grand pour une classe d'équations de type KPP en milieu périodique
-
Bages M., Martinez P., Roquejoffre J.-M. Dynamique en temps grand pour une classe d'équations de type KPP en milieu périodique. C. R. Acad. Paris Ser. I 2008, 346:1051-1056.
-
(2008)
C. R. Acad. Paris Ser. I
, vol.346
, pp. 1051-1056
-
-
Bages, M.1
Martinez, P.2
Roquejoffre, J.-M.3
-
3
-
-
53549127849
-
Generalized travelling waves for reaction-diffusion equations
-
Amer. Math. Soc., in honor of H. Brezis, Perspectives in Nonlinear Partial Differential Equations
-
Berestycki H., Hamel F. Generalized travelling waves for reaction-diffusion equations. Contemp. Math. 2007, vol. 446:101-123. Amer. Math. Soc., in honor of H. Brezis.
-
(2007)
Contemp. Math.
, vol.446
, pp. 101-123
-
-
Berestycki, H.1
Hamel, F.2
-
4
-
-
85082782744
-
-
Generalized transition waves and their properties, preprint.
-
H. Berestycki, F. Hamel, Generalized transition waves and their properties, preprint.
-
-
-
Berestycki, H.1
Hamel, F.2
-
5
-
-
58049150839
-
Asymptotic spreading in heterogeneous diffusive media
-
Berestycki H., Hamel F., Nadin G. Asymptotic spreading in heterogeneous diffusive media. J. Funct. Anal. 2008, 255:2146-2189.
-
(2008)
J. Funct. Anal.
, vol.255
, pp. 2146-2189
-
-
Berestycki, H.1
Hamel, F.2
Nadin, G.3
-
6
-
-
16644384785
-
The speed of propagation for KPP type problems. I - Periodic framework
-
Berestycki H., Hamel F., Nadirashvili N. The speed of propagation for KPP type problems. I - Periodic framework. J. Eur. Math. Soc. 2005, 7:173-213.
-
(2005)
J. Eur. Math. Soc.
, vol.7
, pp. 173-213
-
-
Berestycki, H.1
Hamel, F.2
Nadirashvili, N.3
-
7
-
-
77749289459
-
The speed of propagation for KPP type problems. II - General domains
-
Berestycki H., Hamel F., Nadirashvili N. The speed of propagation for KPP type problems. II - General domains. J. Amer. Math. Soc. 2010, 23:1-34.
-
(2010)
J. Amer. Math. Soc.
, vol.23
, pp. 1-34
-
-
Berestycki, H.1
Hamel, F.2
Nadirashvili, N.3
-
8
-
-
0002785224
-
Stability of traveling fronts in a curved flame model, Part I: Linear analysis
-
Berestycki H., Larrouturou B., Roquejoffre J.-M. Stability of traveling fronts in a curved flame model, Part I: Linear analysis. Arch. Ration. Mech. Anal. 1992, 117:97-117.
-
(1992)
Arch. Ration. Mech. Anal.
, vol.117
, pp. 97-117
-
-
Berestycki, H.1
Larrouturou, B.2
Roquejoffre, J.-M.3
-
9
-
-
0027644972
-
The accommodation of traveling waves of Fisher's to the dynamics of the leading tail
-
Booty M.R., Haberman R., Minzoni A.A. The accommodation of traveling waves of Fisher's to the dynamics of the leading tail. SIAM J. Appl. Math. 1993, 53:1009-1025.
-
(1993)
SIAM J. Appl. Math.
, vol.53
, pp. 1009-1025
-
-
Booty, M.R.1
Haberman, R.2
Minzoni, A.A.3
-
10
-
-
0003175686
-
Convergence of solutions of the Kolmogorov equation to travelling waves
-
Bramson M. Convergence of solutions of the Kolmogorov equation to travelling waves. Mem. Amer. Math. Soc. 1983, 44.
-
(1983)
Mem. Amer. Math. Soc.
, vol.44
-
-
Bramson, M.1
-
11
-
-
71749086098
-
Propagation de fronts dans les équations de Fisher-KPP avec diffusion fractionnaire
-
Cabré X., Roquejoffre J.-M. Propagation de fronts dans les équations de Fisher-KPP avec diffusion fractionnaire. C. R. Math. Acad. Sci. Paris 2009, 347:1361-1366.
-
(2009)
C. R. Math. Acad. Sci. Paris
, vol.347
, pp. 1361-1366
-
-
Cabré, X.1
Roquejoffre, J.-M.2
-
12
-
-
0034376554
-
Bulk burning rate in passive-reactive diffusion
-
Constantin P., Kiselev A., Oberman A., Ryzhik L. Bulk burning rate in passive-reactive diffusion. Arch. Ration. Mech. Anal. 2000, 154:53-91.
-
(2000)
Arch. Ration. Mech. Anal.
, vol.154
, pp. 53-91
-
-
Constantin, P.1
Kiselev, A.2
Oberman, A.3
Ryzhik, L.4
-
13
-
-
0039149429
-
Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
-
Ebert U., van Saarloos W. Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts. Phys. D 2000, 146:1-99.
-
(2000)
Phys. D
, vol.146
, pp. 1-99
-
-
Ebert, U.1
van Saarloos, W.2
-
14
-
-
0017637590
-
The approach of solutions of non-linear diffusion equations to traveling front solutions
-
Fife P.C., McLeod J.B. The approach of solutions of non-linear diffusion equations to traveling front solutions. Arch. Ration. Mech. Anal. 1977, 65:335-361.
-
(1977)
Arch. Ration. Mech. Anal.
, vol.65
, pp. 335-361
-
-
Fife, P.C.1
McLeod, J.B.2
-
15
-
-
0000268135
-
The advance of advantageous genes
-
Fisher R.A. The advance of advantageous genes. Ann. Eugenics 1937, 7:335-369.
-
(1937)
Ann. Eugenics
, vol.7
, pp. 335-369
-
-
Fisher, R.A.1
-
16
-
-
85082782590
-
-
Large-time KPP spreading speeds with exponentially oscillating initial data, preprint.
-
F. Hamel, G. Nadin, Large-time KPP spreading speeds with exponentially oscillating initial data, preprint.
-
-
-
Hamel, F.1
Nadin, G.2
-
17
-
-
85082786318
-
-
Uniqueness and stability properties of monostable pulsating fronts, J. Eur. Math. Soc., in press.
-
F. Hamel, L. Roques, Uniqueness and stability properties of monostable pulsating fronts, J. Eur. Math. Soc., in press.
-
-
-
Hamel, F.1
Roques, L.2
-
18
-
-
85082780699
-
-
Spreading speeds for some reaction-diffusion equations with general initial conditions, preprint.
-
F. Hamel, Y. Sire, Spreading speeds for some reaction-diffusion equations with general initial conditions, preprint.
-
-
-
Hamel, F.1
Sire, Y.2
-
19
-
-
85082787643
-
-
Speeds of spread and propagation for KPP models in time almost and space periodic media, preprint.
-
J. Huang, W. Shen, Speeds of spread and propagation for KPP models in time almost and space periodic media, preprint.
-
-
-
Huang, J.1
Shen, W.2
-
20
-
-
84957345012
-
On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
-
Kametaka Y. On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type. Osaka J. Math. 1976, 13:11-66.
-
(1976)
Osaka J. Math.
, vol.13
, pp. 11-66
-
-
Kametaka, Y.1
-
21
-
-
0000638913
-
Stabilization of solution of the Cauchy problem for equations encountered in combustion theory
-
Kanel' Ya.I. Stabilization of solution of the Cauchy problem for equations encountered in combustion theory. Mat. Sb. 1962, 59:245-288.
-
(1962)
Mat. Sb.
, vol.59
, pp. 245-288
-
-
Kanel', Y.1
-
22
-
-
0003913874
-
On the stability of solutions of the equations of combustion theory for finite initial functions
-
Kanel' Ya.I. On the stability of solutions of the equations of combustion theory for finite initial functions. Mat. Sb. 1964, 65:398-413.
-
(1964)
Mat. Sb.
, vol.65
, pp. 398-413
-
-
Kanel', Y.1
-
23
-
-
23044531135
-
Comparison theorems and variable speed waves for a scalar reaction-diffusion equation
-
Kay A.L., Sherratt J.A., McLeod J.B. Comparison theorems and variable speed waves for a scalar reaction-diffusion equation. Proc. Roy. Soc. Edinburgh Sect. A 2001, 131:1133-1161.
-
(2001)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.131
, pp. 1133-1161
-
-
Kay, A.L.1
Sherratt, J.A.2
McLeod, J.B.3
-
24
-
-
0346449878
-
Enhancement of the traveling front speeds in reaction-diffusion equations with advection
-
Kiselev A., Ryzhik L. Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Ann. Inst. H. Poincaré Anal. Non Linéaire 2001, 18:309-358.
-
(2001)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.18
, pp. 309-358
-
-
Kiselev, A.1
Ryzhik, L.2
-
25
-
-
0002722044
-
Étude de l'équation de la diffusion avec croissance de la quantité de matiére et son application á un probléme biologique
-
Kolmogorov A.N., Petrovsky I.G., Piskunov N.S. Étude de l'équation de la diffusion avec croissance de la quantité de matiére et son application á un probléme biologique. Bull. Univ. État Moscou Sér. Inter. A 1937, 1:1-26.
-
(1937)
Bull. Univ. État Moscou Sér. Inter. A
, vol.1
, pp. 1-26
-
-
Kolmogorov, A.N.1
Petrovsky, I.G.2
Piskunov, N.S.3
-
26
-
-
0002820133
-
Transient bounds and time-asymptotic behavior of solutions to nonlinear equations of Fisher type
-
Larson D.A. Transient bounds and time-asymptotic behavior of solutions to nonlinear equations of Fisher type. SIAM J. Appl. Math. 1978, 34:93-103.
-
(1978)
SIAM J. Appl. Math.
, vol.34
, pp. 93-103
-
-
Larson, D.A.1
-
27
-
-
0010697043
-
On the nonlinear diffusion equation of Kolmogorov, Petrovsky, and Piscounov
-
Lau K.-S. On the nonlinear diffusion equation of Kolmogorov, Petrovsky, and Piscounov. J. Differential Equations 1985, 59:44-70.
-
(1985)
J. Differential Equations
, vol.59
, pp. 44-70
-
-
Lau, K.-S.1
-
28
-
-
84954678370
-
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation, II
-
Levermore C.D., Xin J.X. Multidimensional stability of traveling waves in a bistable reaction-diffusion equation, II. Comm. Partial Differential Equations 1992, 17:1901-1924.
-
(1992)
Comm. Partial Differential Equations
, vol.17
, pp. 1901-1924
-
-
Levermore, C.D.1
Xin, J.X.2
-
29
-
-
33748781174
-
Spreading speeds and traveling waves for periodic evolution systems
-
Liang X., Yi Y., Zhao X.-Q. Spreading speeds and traveling waves for periodic evolution systems. J. Differential Equations 2006, 231:57-77.
-
(2006)
J. Differential Equations
, vol.231
, pp. 57-77
-
-
Liang, X.1
Yi, Y.2
Zhao, X.-Q.3
-
30
-
-
0039256896
-
A parabolic equation of the KPP type in higher dimensions
-
Mallordy J.-F., Roquejoffre J.-M. A parabolic equation of the KPP type in higher dimensions. SIAM J. Math. Anal. 1995, 26:1-20.
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 1-20
-
-
Mallordy, J.-F.1
Roquejoffre, J.-M.2
-
32
-
-
84980187449
-
Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov
-
McKean H.P. Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov. Comm. Pure Appl. Math. 1975, 28:323-331.
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 323-331
-
-
McKean, H.P.1
-
33
-
-
69049104527
-
Stability of generalized transition fronts
-
Mellet A., Nolen J., Roquejoffre J.-M., Ryzhik L. Stability of generalized transition fronts. Comm. Partial Differential Equations 2009, 34:521-552.
-
(2009)
Comm. Partial Differential Equations
, vol.34
, pp. 521-552
-
-
Mellet, A.1
Nolen, J.2
Roquejoffre, J.-M.3
Ryzhik, L.4
-
34
-
-
0032662011
-
Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations
-
Needham D.J., Barnes A.N. Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations. Nonlinearity 1999, 12:41-58.
-
(1999)
Nonlinearity
, vol.12
, pp. 41-58
-
-
Needham, D.J.1
Barnes, A.N.2
-
35
-
-
33845907733
-
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
-
Nolen J., Rudd M., Xin J. Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Dyn. Partial Differ. Equ. 2005, 2:1-24.
-
(2005)
Dyn. Partial Differ. Equ.
, vol.2
, pp. 1-24
-
-
Nolen, J.1
Rudd, M.2
Xin, J.3
-
36
-
-
34249834157
-
Stability of traveling fronts in a curved flame model, Part II: Non-linear orbital stability
-
Roquejoffre J.-M. Stability of traveling fronts in a curved flame model, Part II: Non-linear orbital stability. Arch. Ration. Mech. Anal. 1992, 117:119-153.
-
(1992)
Arch. Ration. Mech. Anal.
, vol.117
, pp. 119-153
-
-
Roquejoffre, J.-M.1
-
37
-
-
0000728498
-
Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
-
Roquejoffre J.-M. Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders. Ann. Inst. H. Poincaré Anal. Non Linéaire 1997, 14:499-552.
-
(1997)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.14
, pp. 499-552
-
-
Roquejoffre, J.-M.1
-
38
-
-
77950296483
-
Recolonisation by diffusion can generate increasing rates of spread
-
Roques L., Hamel F., Fayard J., Fady B., Klein E.K. Recolonisation by diffusion can generate increasing rates of spread. Theor. Popul. Biol. 2010, 77:205-212.
-
(2010)
Theor. Popul. Biol.
, vol.77
, pp. 205-212
-
-
Roques, L.1
Hamel, F.2
Fayard, J.3
Fady, B.4
Klein, E.K.5
-
39
-
-
84971139230
-
Convergence to travelling fronts in semilinear parabolic equations
-
Rothe F. Convergence to travelling fronts in semilinear parabolic equations. Proc. Roy. Soc. Edinburgh Sect. A 1978, 80:213-234.
-
(1978)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.80
, pp. 213-234
-
-
Rothe, F.1
-
40
-
-
0000814275
-
Stability of waves of nonlinear parabolic systems
-
Sattinger D.H. Stability of waves of nonlinear parabolic systems. Adv. Math. 1976, 22:312-355.
-
(1976)
Adv. Math.
, vol.22
, pp. 312-355
-
-
Sattinger, D.H.1
-
41
-
-
0030171463
-
Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation
-
Sherratt J.A., Marchant B.P. Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation. IMA J. Appl. Math. 1996, 56:289-302.
-
(1996)
IMA J. Appl. Math.
, vol.56
, pp. 289-302
-
-
Sherratt, J.A.1
Marchant, B.P.2
-
42
-
-
0000027176
-
The behaviour of solutions of some semilinear diffusion equation for large time
-
Uchiyama K. The behaviour of solutions of some semilinear diffusion equation for large time. J. Math. Kyoto Univ. 1978, 18:453-508.
-
(1978)
J. Math. Kyoto Univ.
, vol.18
, pp. 453-508
-
-
Uchiyama, K.1
-
43
-
-
0348143251
-
On spreading speeds and traveling waves for growth and migration in periodic habitat
-
Weinberger H.F. On spreading speeds and traveling waves for growth and migration in periodic habitat. J. Math. Biol. 2002, 45:511-548.
-
(2002)
J. Math. Biol.
, vol.45
, pp. 511-548
-
-
Weinberger, H.F.1
-
44
-
-
0002125162
-
Existence and stability of travelling waves in periodic media governed by a bistable nonlinearity
-
Xin X. Existence and stability of travelling waves in periodic media governed by a bistable nonlinearity. J. Dynam. Differential Equations 1991, 3:541-573.
-
(1991)
J. Dynam. Differential Equations
, vol.3
, pp. 541-573
-
-
Xin, X.1
-
45
-
-
0034206088
-
Analysis and modeling of front propagation in heterogeneous media
-
Xin J.X. Analysis and modeling of front propagation in heterogeneous media. SIAM Rev. 2000, 42:161-230.
-
(2000)
SIAM Rev.
, vol.42
, pp. 161-230
-
-
Xin, J.X.1
-
46
-
-
21244470313
-
Quenching and propagation of combustion without ignition temperature cutoff
-
ZlatoŠ A. Quenching and propagation of combustion without ignition temperature cutoff. Nonlinearity 2005, 18:1463-1475.
-
(2005)
Nonlinearity
, vol.18
, pp. 1463-1475
-
-
ZlatoŠ, A.1
-
47
-
-
30644460228
-
Sharp transition between extinction and propagation of reaction
-
ZlatoŠ A. Sharp transition between extinction and propagation of reaction. J. Amer. Math. Soc. 2006, 19:251-263.
-
(2006)
J. Amer. Math. Soc.
, vol.19
, pp. 251-263
-
-
ZlatoŠ, A.1
|