-
1
-
-
36448999535
-
Instabilities in propagating reaction-diffusion fronts
-
D. Horváth, V. Petrov, S.K. Scott, K. Showalter, Instabilities in propagating reaction-diffusion fronts, J. Chem. Phys. 98 (8) (1993) 6332-6343.
-
(1993)
J. Chem. Phys.
, vol.98
, Issue.8
, pp. 6332-6343
-
-
Horváth, D.1
Petrov, V.2
Scott, S.K.3
Showalter, K.4
-
2
-
-
0001778255
-
The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves
-
J. Billingham, D.J. Needham, The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves, Phil. Trans. R. Soc. London A 334 (1991) 1-24.
-
(1991)
Phil. Trans. R. Soc. London A
, vol.334
, pp. 1-24
-
-
Billingham, J.1
Needham, D.J.2
-
3
-
-
0001543307
-
On the global existence and asymptotic behavior of solutions of reaction-diffusion equations
-
K. Masuda, On the global existence and asymptotic behavior of solutions of reaction-diffusion equations, Hokkaido Math. J. 12 (1983) 360-370.
-
(1983)
Hokkaido Math. J.
, vol.12
, pp. 360-370
-
-
Masuda, K.1
-
4
-
-
84972572538
-
On a result of K. Masuda concerning reaction-diffusion equations
-
A. Haraux, A. Youkana, On a result of K. Masuda concerning reaction-diffusion equations, Tôhoku Math. J. 40 (1988) 159-163.
-
(1988)
Tôhoku Math. J.
, vol.40
, pp. 159-163
-
-
Haraux, A.1
Youkana, A.2
-
5
-
-
0030240068
-
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity
-
J. Bricmont, A. Kupiainen, J. Xin, Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity, J. Diff. Eqs. 130 (1996) 9-35.
-
(1996)
J. Diff. Eqs.
, vol.130
, pp. 9-35
-
-
Bricmont, J.1
Kupiainen, A.2
Xin, J.3
-
6
-
-
0011460060
-
Large time asymptotics of solutions to a model combustion system with critical nonlinearity
-
L. Berlyand, J. Xin, Large time asymptotics of solutions to a model combustion system with critical nonlinearity, Nonlinearity 8 (1995) 161-178.
-
(1995)
Nonlinearity
, vol.8
, pp. 161-178
-
-
Berlyand, L.1
Xin, J.2
-
7
-
-
0000077249
-
Nonlinear reaction-diffusion systems
-
W.F. Ames, C. Rogers (Eds.), Academic Press, Boston
-
R.H. Martin, M. Pierre, Nonlinear reaction-diffusion systems, in: W.F. Ames, C. Rogers (Eds.), Nonlinear Equations in the Applied Sciences, Academic Press, Boston, 1992.
-
(1992)
Nonlinear Equations in the Applied Sciences
-
-
Martin, R.H.1
Pierre, M.2
-
9
-
-
0022025303
-
Pattern propagation in nonlinear dissipative systems
-
E. Ben-Jacob, H. Brand, G. Dee, L. Kramer, J.S. Langer, Pattern propagation in nonlinear dissipative systems, Physica D 14 (1985) 348-364.
-
(1985)
Physica D
, vol.14
, pp. 348-364
-
-
Ben-Jacob, E.1
Brand, H.2
Dee, G.3
Kramer, L.4
Langer, J.S.5
-
10
-
-
6444221633
-
Front propagation into unstable states. II. Linear versus nonlinear marginal stability and rate of convergence
-
W. van Saarloos, Front propagation into unstable states. II. Linear versus nonlinear marginal stability and rate of convergence, Phys. Rev. A 39 (12) (1989) 6367-6390.
-
(1989)
Phys. Rev. A
, vol.39
, Issue.12
, pp. 6367-6390
-
-
Van Saarloos, W.1
-
12
-
-
49349119963
-
Multidimensional nonlinear diffusion arising in population genetics
-
D.G. Aronson, H.F. Weinberger, Multidimensional nonlinear diffusion arising in population genetics, Adv. Math. 30 (1978) 33-76.
-
(1978)
Adv. Math.
, vol.30
, pp. 33-76
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
13
-
-
0000814275
-
On the stability of waves of nonlinear parabolic systems
-
D.H. Sattinger, On the stability of waves of nonlinear parabolic systems, Adv. Math. 22 (1976) 312-355.
-
(1976)
Adv. Math.
, vol.22
, pp. 312-355
-
-
Sattinger, D.H.1
-
14
-
-
44049118931
-
On the nonlinear dynamics of travelling fronts
-
K. Kirchgässner, On the nonlinear dynamics of travelling fronts, J. Diff. Eqs. 96 (1992) 256-278.
-
(1992)
J. Diff. Eqs.
, vol.96
, pp. 256-278
-
-
Kirchgässner, K.1
-
15
-
-
34249762638
-
The nonlinear stability of front solutions for parabolic partial differential equations
-
J.-P. Eckmann, C.E. Wayne, The nonlinear stability of front solutions for parabolic partial differential equations, Comm. Math. Phys. 161 (1994) 323-334.
-
(1994)
Comm. Math. Phys.
, vol.161
, pp. 323-334
-
-
Eckmann, J.-P.1
Wayne, C.E.2
-
16
-
-
21344495443
-
Stability of moving fronts in the Ginzburg-Landau equation
-
J. Bricmont, A. Kupiainen, Stability of moving fronts in the Ginzburg-Landau equation, Comm. Math. Phys. 159 (1994) 287-318.
-
(1994)
Comm. Math. Phys.
, vol.159
, pp. 287-318
-
-
Bricmont, J.1
Kupiainen, A.2
-
17
-
-
0001171846
-
Local stability of critical fronts in nonlinear parabolic partial differential equations
-
Th. Gallay, Local stability of critical fronts in nonlinear parabolic partial differential equations, Nonlinearity 7 (1994) 741-764.
-
(1994)
Nonlinearity
, vol.7
, pp. 741-764
-
-
Gallay, T.1
-
18
-
-
85083137956
-
Periodic patterns and travelling fronts for the Ginzburg-Landau equation
-
World Scientific, Singapore
-
Th. Gallay, Periodic patterns and travelling fronts for the Ginzburg-Landau equation, in: IUTAM/ISIMM-Proceedings Nonlinear Waves in Hannover 1994, World Scientific, Singapore, 1995.
-
(1995)
IUTAM/ISIMM-Proceedings Nonlinear Waves in Hannover 1994
-
-
Gallay, T.1
-
19
-
-
0031490679
-
Stability of travelling waves for a damped hyperbolic equation
-
Th. Gallay, G. Raugel, Stability of travelling waves for a damped hyperbolic equation, Z. Angew. Math. Phys. 48 (1997) 451-479.
-
(1997)
Z. Angew. Math. Phys.
, vol.48
, pp. 451-479
-
-
Gallay, Th.1
Raugel, G.2
-
20
-
-
33646917618
-
A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
-
E.B. Fabes, D.W. Stroock, A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash, Arch. Rat. Mech. Anal. 96 (1986) 327-338.
-
(1986)
Arch. Rat. Mech. Anal.
, vol.96
, pp. 327-338
-
-
Fabes, E.B.1
Stroock, D.W.2
-
21
-
-
21844510556
-
Asymptotic stability of solitary waves
-
R.L. Pego, M.I. Weinstein, Asymptotic stability of solitary waves, Comm. Math. Phys. 164 (1994) 305-349.
-
(1994)
Comm. Math. Phys.
, vol.164
, pp. 305-349
-
-
Pego, R.L.1
Weinstein, M.I.2
-
23
-
-
85083134004
-
-
in preparation
-
S. Focant, in preparation.
-
-
-
Focant, S.1
-
24
-
-
0002011401
-
The chemical basis of morphogenesis
-
A. Turing, The chemical basis of morphogenesis, Phil. Trans. Roy. Soc. London B 237 (1952) 37-72.
-
(1952)
Phil. Trans. Roy. Soc. London B
, vol.237
, pp. 37-72
-
-
Turing, A.1
-
26
-
-
0039093031
-
Stability of Fronts for a KPP system: The non-critical case
-
G. Dangelmayr, B. Fiedler, K. Kirchgässner, A. Mielke (Eds.), Longman, New York
-
K. Kirchgässner, G. Raugel, Stability of Fronts for a KPP system: The non-critical case, in: G. Dangelmayr, B. Fiedler, K. Kirchgässner, A. Mielke (Eds.), Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifurcation and Stability, Pitman Research Notes in Mathematics Series, vol. 352, Longman, New York, 1996.
-
(1996)
Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifurcation and Stability, Pitman Research Notes in Mathematics Series
, vol.352
-
-
Kirchgässner, K.1
Raugel, G.2
|