Singular limit of a degenerate chemotaxis-Fisher equation
نویسندگان
چکیده
منابع مشابه
Limit Theorems for A Degenerate Fixed Point Equation †
We consider the stochastic fixed point equation Xn d = Xn−D +B that appears in several applications, for example in the Bolthausen-Sznitman coalescent or in the analysis or recursive algorithms. In this paper we provide a systematic study on these kinds of stochastic fixed point equations. It turns out that depending on the singularity structure of the the moment generating function of D the li...
متن کاملSharp interface limit of the Fisher-KPP equation
We investigate the singular limit, as ε → 0, of the Fisher equation ∂tu = ε∆u+ ε u(1− u) in the whole space. We consider initial data with compact support plus, possibly, perturbations very small as ‖x‖ → ∞. By proving both generation and motion of interface properties, we show that the sharp interface limit moves by a constant speed, which is the minimal speed of some related one-dimensional t...
متن کاملHomoclinic Orbits of the FitzHugh-Nagumo Equation: The Singular-Limit
The FitzHugh-Nagumo equation has been investigated with a wide array of different methods in the last three decades. Recently a version of the equations with an applied current was analyzed by Champneys, Kirk, Knobloch, Oldeman and Sneyd [5] using numerical continuation methods. They obtained a complicated bifurcation diagram in parameter space featuring a C-shaped curve of homoclinic bifurcati...
متن کاملConvergence to a propagating front in a degenerate Fisher-KPP equation with advection
We consider a Fisher-KPP equation with density-dependent diffusion and advection, arising from a chemotaxis-growth model. We study its behavior as a small parameter, related to the thickness of a diffuse interface, tends to zero. We analyze, for small times, the emergence of transition layers induced by a balance between reaction and drift effects. Then we investigate the propagation of the lay...
متن کاملBifurcation of limit cycles at degenerate singular point and in“nity in a septic system
In this paper, the problem of bifurcation of limit cycles from degenerate singular point and infinity in a class of septic polynomial differential systems is investigated. Using the computer algebra system Mathematica, the limit cycle configurations of {(8), 3} and {(3), 6} are obtained under synchronous perturbation at degenerate singular point and infinity. To our knowledge, up to now, this i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 2004
ISSN: 0018-2079
DOI: 10.32917/hmj/1150998073