Johnson, M.A.; Zumbrun, K.(Society for Industrial and Applied Mathematics, 2012)
By the introduction of a generalized Evans function defined by an appropriate 2- modified Fredholm determinant, we give a simple proof of convergence in location and multiplicity of Hill's method for numerical approximation ...
Williams, J.D.(Institute of Mathematical Statistics, 2012)
Let μ be a probability measure on the real line. In this paper we prove that there exists a decomposition $\mu = \mu_{0}\boxplus \mu_{1}\dots\boxplus \mu_{n}$such that $\mu_{0}$ is infinitely divisible, and $\mu_{i}$ is ...
We prove the existence of a family of embedded doubly periodic minimal surfaces of (quotient) genus g with orthogonal ends that generalizes the classical doubly periodic surface of Scherk and the genus-one Scherk surface ...
We introduce systems of objects and operators in linear monoidal categories called $\hat{\Psi}$-systems. A $\hat{\Psi}$-system satisfying several additional assumptions gives rise to a topological invariant of triples (a ...
Cheng, C.; Feng, Z.; Su, Y.(Texas State University - San Marcos, 2012)
In this article, we are concerned with the existence of positive solutions for nonlinear fractional differential equation whose nonlinearity contains the first-order derivative,
$$\displaylines{
D_{0^+}^{\alpha}u(t)+ ...
Lindenstrauss, A.; McCarthy, R.(Cambridge University Press, 2012)
In this paper we extend the computation of the the typical curves of algebraic K-theory done by Lars Hesselholt and Ib Madsen to general tensor algebras. The models used allow us to determine the stages of the Taylor tower ...
Haïssinsky, P.; Pilgrim, K.M.(American Institute of Mathematical Sciences, 2012)
Let $f:S^{2} \rightarrow S^{2}$ be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for $f$ to be homotopic, relative to its postcritical ...
Gie, G.-M.; Makram, H.; Tema,, R.(American Institute of Mathematical Sciences, 2012)
We consider the Navier-Stokes equations of an incompressible fluid in a three dimensional curved domain with permeable walls in the limit of small viscosity. Using a curvilinear coordinate system, adapted to the boundary, ...
In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results ...
This article is concerned with coupled coincidence points and common fixed points for two mappings in metric spaces and cone metric spaces. We first establish a coupled coincidence point theorem for two mappings and a ...
Let C be the topological knot concordance group of knots $S^{1} \subset S^{3}$ under connected sum modulo slice knots. Cochran, Orr and Teichner defined a filtration: \[C \supset F_{(0)} \supset F_{(0.5)} \supset F_{(1)} ...
Liu, H.; Sengul, T.; Wang, S.(American Institute of Physics, 2012)
The main objectives of this article are two-fold. First, we study the effect of the nonlinear Onsager mobility on the phase transition and on the well-posedness of the Cahn-Hilliard equation modeling a binary system. It ...
For $R$ a discrete ring, $M$ a simplicial $R$–bimodule, and $X$ a simplicial set, we construct the Goodwillie Taylor tower of the reduced $K$–theory of parametrized endomorphisms $\widetilde{K}\bigg(R; \widetilde{M}\big[ ...
We provide an improvement over Meshulam's bound on cap sets in $F^{N}_{3}$. We show that there exist universal $\epsilon > 0$ and $ C > 0$ so that any cap set in $F^{N}_{3}$ has size at most $C\frac{3^{N}}{N^{1+e}}$. We ...
Foias, C.; Jolly, M.S.; Kravchenko, R.; Titi, E.S.(American Institute of Physics, 2012)
The determining modes for the two-dimensional incompressible Navier-Stokes equations (NSE) are shown to satisfy an ordinary differential equation (ODE) of the form $dv/dt = F(v)$, in the Banach space, $X$, of all bounded ...
Proffitt, Garrett(Indiana University Department of Mathematics, 2010)
Classifying Single-Tile Periodic Tilings of the Real Line and Realizing the Deformation Spaces of Two and Three Square Periodic Tilings of the Plane through Combinatorial Structure.
Miles-Leighton, Hayley(Indiana University Department of Mathematics, 2010)
In this paper we study the links between Smale’s Mean Value Conjecture (SMVC) and the convergence of critical points under iteration. We begin by introducing SMVC
and discussing what progress has been made towards ...