Understanding Homogeneous Nucleation in Solidification of Aluminum by Molecular Dynamics Simulations [PDF]
, 2017 Homogeneous nucleation from aluminum (Al) melt was investigated by million-atom molecular dynamics (MD) simulations utilizing the second nearest neighbor modified embedded atom method (MEAM) potentials.
Baskes, Michael I. +2 more
core +3 more sources
On the existence of ground state solutions to critical growth problems nonresonant at zero [PDF]
arXiv, 2021 We prove the existence of ground state solutions to critical growth $p$-Laplacian and fractional $p$-Laplacian problems that are nonresonant at zero.
arxiv
Domain Growth in the Active Model B: Critical and Off-critical Composition [PDF]
, 2021 We study the ordering kinetics of an assembly of {\it active Brownian particles} (ABPs) on a two-dimensional substrate. We use a coarse-grained equation for the composition order parameter $\psi ({\bf r},t)$, where ${\bf r}$ and $t$ denote space and time, respectively. The model is similar to the {\it Cahn-Hilliard equation} or {\it Model B} (MB) for a
arxiv +1 more source
Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
Advanced Nonlinear Studies, 2018 We are concerned with the following singularly perturbed fractional Schrödinger equation:
He Yi
doaj +1 more source
Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies [PDF]
Memoirs of the American Mathematical Society, 2015 We consider the combined power-type nonlinear Schrödinger equations with energy-critical growth, and study the solutions slightly above the ground state threshold at low frequencies, so that we obtain a so-called nine-set theory developed by Nakanishi ...
Takafumi Akahori +3 more
semanticscholar +1 more source
AIMS Mathematics, 2023 In this paper, we investigate the existence of standing wave solutions to the following perturbed fractional p-Laplacian systems with critical nonlinearity $ \begin{equation*} \left\{ \begin{aligned} &\varepsilon^{ps}(-\Delta)^{s}_{p}u + V(x)|u ...
Shulin Zhang
doaj +1 more source
Activins Are Critical Modulators of Growth and Survival [PDF]
Molecular Endocrinology, 2003 AbstractActivins βA and βB (encoded by Inhba and Inhbb genes, respectively) are related members of the TGF-β superfamily. Previously, we generated mice with an Inhba knock-in allele (InhbaBK) that directs the expression of activin βB protein in the spatiotemporal pattern of activin βA. These mice were small and had shortened life spans, both influenced
Martin M. Matzuk +3 more
openaire +3 more sources
Towards a sustainable Growth story: A critical analysis of the fundamentals [PDF]
, 2008 In this paper, I will develop an insight into the growth process of Indian Economy and will find that increased inequality due to unconventional transitions have its negative implications for future growth prospects and the overall issue of ...
Saraswat, Deepak
core +2 more sources
Fractional elliptic problems with critical growth in the whole of $\R^n$ [PDF]
, 2015 We study the following nonlinear and nonlocal elliptic equation in~$\R^n$ $$ (-\Delta)^s u = \epsilon\,h\,u^q + u^p \ {\mbox{ in }}\R^n, $$ where~$s\in(0,1)$, $n>2s$, $\epsilon>0$ is a small parameter, $p=\frac{n+2s}{n-2s}$, $q\in(0,1)$, and~$h\in L^1(\R^
S. Dipierro, María Medina, E. Valdinoci
semanticscholar +1 more source
Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in
Mathematics, 2021 In this paper, we study the singularly perturbed problem for the Schrödinger–Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the ...
Jichao Wang, Ting Yu
doaj +1 more source