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HOMOCLINIC ORBITS OF THE FITZHUGH-NAGUMO EQUATION: THE SINGULAR-LIMIT
FITZHUGH-NAGUMO EQUATION SINGULAR-LIMIT
2015/8/25
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 Champ...
Traveling fronts in porous media: existence and a singular limit
Traveling fronts porous media existence singular limit
2015/7/14
We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky [8]. We show that it admits travelling wave solutions that converge in the limit...
Singular limit in the optimized effective potential with finite basis sets
Singular limit optimized effective potential finite basis sets
2011/8/19
Abstract: Most finite-basis set implementations of the optimized effective potential (OEP) method leave the potential undetermined, when the auxiliary basis set for the potential is sufficiently large...
Some Singular Limit Laminations of Embedded Minimal Planar Domains
Singular Limit Laminations Embedded Minimal Planar Domains Differential Geometry
2011/9/15
Abstract: In this paper we give two examples of sequences of embedded minimal planar domains in $\mathbb{R}^3$ which converge to singular laminations of $\mathbb{R}^3$. In contrast with the situation ...
Singular limit and exact decay rate of a nonlinear elliptic equation
existence of solution nonlinear elliptic equations singular limit exact decay rate Yamabe flow
2011/9/6
Abstract: For any $n\ge 3$, $0n-2)/n$, and constants $\eta>0$, $\beta>0$, $\alpha$, satisfying $\alpha\le\beta(n-2)/m$, we prove the existence of radially symmetric solution of $\frac{n-1}{m}\D...
A singular limit for compressible rotating fluids
singular limit compressible rotating fluids
2010/12/3
We consider a singular limit problem for the Navier-Stokes system of a rotating compressible fluid, where the Rossby and Mach numbers tend simultaneously to zero. The limit problem
is identified as t...