TY  - JOUR
AU  - D, Hilhorst
AU  - Kersner, Róbert
AU  - E, Logak
AU  - M, Mimura
TI  - Interface dynamics of the Fisher equation with degenerate diffusion
JF  - ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
J2  - ELECTR J DIFFER EQUAT
VL  - 244
PY  - 2008
IS  - 11
SP  - 2870
EP  - 2889
PG  - 20
SN  - 1072-6691
UR  - https://m2.mtmt.hu/api/publication/1755719
ID  - 1755719
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hilhorst, D
AU  - Kersner, Róbert
AU  - Logak, E
AU  - Mimura, M
TI  - Interface dynamics of the Fisher equation with degenerate diffusion
JF  - JOURNAL OF DIFFERENTIAL EQUATIONS
J2  - J DIFFER EQUATIONS
VL  - 244
PY  - 2008
IS  - 11
SP  - 2870
EP  - 2889
PG  - 20
SN  - 0022-0396
DO  - 10.1016/j.jde.2008.02.018
UR  - https://m2.mtmt.hu/api/publication/1788513
ID  - 1788513
AB  - We consider a degenerate parabolic reaction-diffusion equation with a monostable nonlinearity arising in population dynamics. In some suitable scaling limit, we prove the generation and propagation of an interface with constant normal velocity in the case that the initial condition has a convex compact support. © 2008 Elsevier Inc. All rights reserved.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Gilding, B H
AU  - Kersner, Róbert
TI  - A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions
JF  - JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
J2  - J PHYS A-MATH GEN
VL  - 38
PY  - 2005
IS  - 15
SP  - 3367
EP  - 3379
PG  - 13
SN  - 0305-4470
DO  - 10.1088/0305-4470/38/15/009
UR  - https://m2.mtmt.hu/api/publication/1756234
ID  - 1756234
AB  - This paper concerns processes described by a nonlinear partial differential equation that is an extension of the Fisher and KPP equations including density-dependent diffusion and nonlinear convection. The set of wave speeds forwhich the equation admits a wavefront connecting its stable and unstable equilibrium states is characterized. There is a minimal wave speed. For this wave speed there is a unique wavefront which can be found explicitly. It displays a sharp propagation front. For all greater wave speeds there is a unique wavefront which does not possess this property. For such waves, the asymptotic behaviour as the equilibrium states are approached is determined. © 2005 IOP Publishing Ltd.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Biró, Zsolt Péter
TI  - Stability of travelling waves for degenerate reaction-diffusion equations of KPP-type
JF  - ADVANCED NONLINEAR STUDIES
J2  - ADV NONLINEAR STUD
VL  - 2
PY  - 2002
IS  - 4
SP  - 357
EP  - 371
PG  - 15
SN  - 1536-1365
UR  - https://m2.mtmt.hu/api/publication/163288
ID  - 163288
LA  - English
DB  - MTMT
ER  -