Results 31 to 40 of about 75 (69)

Role of dimension and geometry: non-uniqueness in the pseudo-one-dimensional limit for Turing patterns on parallelograms

European Journal of Applied Mathematics
Turing patterns provide a classical mechanism for understanding self-organisation in reaction-diffusion systems. In one spatial dimension, a critical domain size is derivable, which defines the bifurcation point for patterning, meaning that domain ...
Thomas E. Woolley, Václav Klika
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On Stationary Schrödinger-Poisson Equations Modelling An Electron Gas With Reduced Dimension

, 1995
. We regard the Schrodinger--Poisson system arising from the modelling of an electron gas with reduced dimension in a bounded up to three-- dimensional domain and establish the method of steepest descent.
Joachim Rehberg, Hans-Christoph Kaiser
core  

Minimizing Schrödinger eigenvalues for confining potentials

Advanced Nonlinear Studies
We consider the problem of minimizing the lowest eigenvalue of the Schrödinger operator −Δ + V in L2(Rd) ${L}^{2}({\mathbb{R}}^{d})$ when the integral ∫e −tV  dx is given for some t > 0. We show that the eigenvalue is minimal for the harmonic oscillator
Frank Rupert L.
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A Hybrid System Consisting of Two Flexible Beams Connected by a Point Mass: Spectral Analysis and Well-Posedness in Asymmetric Spaces

, 1997
. We consider a hybrid system consisting on two flexible beams connected by a point mass. We prove that the presence of the point mass affects the spectral gap when the inertia term does not vanish. This allows us to show that the system is well-posed in
Enrique Zuazua, Carlos Castro
core  

ON THE WAVE STRUCTURE OF TWO-PHASE FLOW MODELS

, 2008
. We explore the relationship between two common two-phase flow models, usually denoted as the two-fluid and drift-flux models. They differ in their mathematical description of momentum transfer between the phases. In this paper we provide a framework in
Steinar Evje A, Tore Fl˚atten A
core  

A technique for non-intrusive greedy piecewise-rational model reduction of frequency response problems over wide frequency bands. [PDF]

J Math Ind, 2022
Pradovera D, Nobile F.
europepmc   +1 more source

Simultaneous Cervical and Lumbar Spinal Cord Stimulation Induces Facilitation of Both Spinal and Corticospinal Circuitry in Humans. [PDF]

Front Neurosci, 2021
Parhizi B, Barss TS, Mushahwar VK.
europepmc   +1 more source

On some new spectral estimates for Schrödinger-like operators

Open Mathematics, 2006
Levin Daniel
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A spectral estimate for the Dirac operator on Riemannian flows

Open Mathematics, 2010
Ginoux Nicolas, Habib Georges
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Sobolev type inequalities for compact metric graphs. [PDF]

J Inequal Appl, 2018
Usman M.
europepmc   +1 more source