Results 51 to 60 of about 53,784 (240)
The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
doaj +1 more source
A Setup for Automatic Raman Measurements in High‐Throughput Experimentation
Biotechnology and Bioengineering, EarlyView.Record Raman spectra in High‐Throughput Bioprocess Development. Measure eight samples of 50μL $50\,\mathrm{\mu L}$ fully automated. ABSTRACT High‐throughput (HT) experimentation is transforming biotechnology by enabling systematic exploration of complex multi‐dimensional experimental conditions.
Christoph Lange +8 more
wiley +1 more source
Topology and its Applications, 1987 AbstractIn the well-known product formulae for Nielsen numbers and fibre maps a relation is established between the Nielsen numbers of the base space, the total space and the fibre. In this work we extend these formulae to a pullback situation relating the Nielsen numbers on the four spaces involved in the pullback. The approach taken is to first study
Renzo A. Piccinini +2 more
openaire +2 more sources
Catheterization and Cardiovascular Interventions, EarlyView.ABSTRACT Background Accurate dimensional measurements are critical for quantitative coronary angiography (QCA) and serve as the first step in angiography‐based fractional flow reserve (FFR) calculations. Aims To compare minimum lumen diameter (MLD) measurements across multiple QCA or anigo‐based FFR software programs using phantom models.
Akihiro Tobe +12 more
wiley +1 more source
Pullback invariants of Thurston maps [PDF]
Transactions of the American Mathematical Society, 2012 Associated to a Thurston map $f: S^2 \to S^2$ with postcritical set $P$ are several different invariants obtained via pullback: a relation on the set of free homotopy classes of curves in $S^2- P$, a linear operator on the free $\R$-module generated by these homotopy classes of curves, a virtual endomorphism on the pure mapping class group, an analytic
Sarah Koch +2 more
openalex +5 more sources
Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
Open Mathematics, 2016 In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
doaj +1 more source
Coupled nonautonomous inclusion systems with spatially variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A family of nonautonomous coupled inclusions governed by $p(x)$-Laplacian operators with large diffusion is investigated. The existence of solutions and pullback attractors as well as the generation of a generalized process are established.
Peter Kloeden, Jacson Simsen
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Management of Lost Atherectomy Devices in the Coronary Arteries
Catheterization and Cardiovascular Interventions, EarlyView.ABSTRACT Rotational and orbital atherectomy are important tools to treat calcific coronary disease. Entrapment of an atherectomy device, that is, rotational atherectomy burr or orbital atherectomy crown, is a serious complication during atherectomy. Loss of an atherectomy device is a more challenging complication that usually follows device entrapment.
Gregor Leibundgut +8 more
wiley +1 more source
AIMS Mathematics, 2020 Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B.
Xiaobin Yao
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Pullback attractor for a dynamic boundary non-autonomous problem with Infinite delay [PDF]
, 2018 In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are ...
Caraballo Garrido, Tomás +1 more
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