Spatially Discrete Nonlinear Diffusion Equations
نویسندگان
چکیده
منابع مشابه
Spatially Discrete FitzHugh--Nagumo Equations
We consider pulse and front solutions to a spatially discrete FitzHugh–Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving candidate solutions for the McKean nonlinearity and present and apply solvability conditions necessary for existence. Our equation contains both spatially continuous and discre...
متن کاملNonlinear Diffusion Equations
Existence of wavefronts for discrete two-dimensional evolution models involving diifusive terms with a nonlinear dependence on the discrete ‘grsdients’ is studied. For small values of a control parameter, we prove existence of steady wavefronts. We investigate numerically the transition of steady fronts to traveling waves as the control parameter increases. @ 2002 Elsevier Science Ltd. All righ...
متن کاملOn Nonlinear Nonlocal Diffusion Equations
This is a study of a class of nonlocal nonlinear diffusion equations (NNDEs). We present several new qualitative results for nonlocal Dirichlet problems. It is shown that solutions with positive initial data remain positive through time, even for nonlinear problems; in addition, we prove that solutions to these equations obey a strong maximum principle. A striking result shows that nonlocal sol...
متن کاملNonlocal nonlinear advection-diffusion equations
We review some results about nonlocal advection-diffusion equations based on lower bounds for the fractional Laplacian. To Haim, with respect and admiration.
متن کاملAcheiving Optimal Detection through Discrete Diffusion Equations
It is known that sequential signal detection based on the sequential probability ratio test (SPRT) is the shortest on an average among other tests. Most of the work in sequential signal detection assumes independent, identically distributed noise. The decision thresholds are not exact. This is due to the complexity involved in doing an exact analysis of the sequential detector. In this paper, w...
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: Rocky Mountain Journal of Mathematics
سال: 1995
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072270