Results 61 to 70 of about 4,105,755 (293)

Parallel solution methods and preconditioners for evolution equations

open access: yesMathematical Modelling and Analysis, 2018
The recent development of the high performance computer platforms shows a clear trend towards heterogeneity and hierarchy. In order to utilize the computational power, particular attention must be paid to finding new algorithms or adjust existing ones so ...
Owe Axelsson   +2 more
doaj   +1 more source

Finite-approximate controllability of Hilfer fractional evolution equations of Sobolev type with nonlocal conditions

open access: yes上海师范大学学报. 自然科学版, 2020
We discuss the finite-approximate controllability of Hilfer fractional evolution equations of Sobolev type with nonlocal conditions in Hilbert spaces.With the assumption that the corresponding linear system is approximately controllable,we obtain ...
WANG Xingzhao   +3 more
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

open access: yesFEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure   +3 more
wiley   +1 more source

Integral equations as evolution equations

open access: yesJournal of Differential Equations, 1982
AbstractWe study a class of time-dependent linear integrodifferential equations (VE) with the evolution equation approach. We determine the generators of a time-dependent evolution equation (DE) which is equivalent to the given integrodifferential equation.
Chen, Goong, Grimmer, Ronald
openaire   +1 more source

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

open access: yesFEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace   +6 more
wiley   +1 more source

Nonlinear second order evolution equations with state-dependent delays

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown.
László Simon
doaj   +1 more source

Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation

open access: yes, 2017
We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the ...
Xifang Cao
core   +1 more source

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

open access: yesFEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source

SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation [PDF]

open access: yes, 2012
Zhu R. SDE and BSDE on Hilbert spaces: applications to quasi-linear evolution equations and the asymptotic properties of the stochastic quasi-geostrophic equation.
Zhu, Rongchan
core  

Generalized Sasa-Satsuma equation: Densities approach to new infinite hierarchy of integrable evolution equations [PDF]

open access: yes, 2018
We derive the new infinite Sasa-Satsuma hierarchy of evolution equations using an invariant densities approach. Being significantly simpler than the Lax-pair technique, this approach does not involve ponderous 3 x 3 matrices.
Ankiewicz, Adrian   +2 more
core   +1 more source

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