Results 41 to 50 of about 2,475,365 (332)
Uniqueness of Weak Solutions to an Electrohydrodynamics Model [PDF]
Abstract and Applied Analysis, 2012 This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d = 2, 3). When d = 2, we prove a uniqueness without any condition on the velocity. For d = 3, we prove a weak‐strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.
Zhou, Yong, Fan, Jishan
openaire +3 more sources
A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
FEBS Letters, EarlyView.We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
wiley +1 more source
On the existence of three solutions for quasilinear elliptic problem [PDF]
Opuscula Mathematica, 2012 We consider a quasilinear elliptic problem of the type \(-\Delta_p u = \lambda (f(u)+\mu g(u))\) in \(\Omega\), \(u|_{\partial \Omega} =0\), where \(\Omega \in \mathbb{R}^N\) is an open and bounded set, \(f\), \(g\) are continuous real functions on ...
Paweł Goncerz
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, 2014 We study the well-posedness of a coupled Cahn-Hilliard-Stokes-Darcy system which is a diffuse-interface model for essentially immiscible two phase incompressible flows with matched density in a karstic geometry.
Han, Daozhi, Wang, Xiaoming, WU, Hao
core +1 more source
Nonuniqueness of Weak Solutions to the SQG Equation [PDF]
Communications on Pure and Applied Mathematics, 2019 We prove that weak solutions of the inviscid SQG equations are not unique, thereby answering Open Problem 11 of De Lellis and Székelyhidi in 2012. Moreover, we also show that weak solutions of the dissipative SQG equation are not unique, even if the fractional dissipation is stronger than the square root of the Laplacian.
Buckmaster, Tristan +2 more
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The IQ‐compete assay for measuring mitochondrial protein import efficiencies in living yeast cells
FEBS Letters, EarlyView.The efficiency of mitochondrial protein import depends on the properties of the newly synthesized precursor proteins. The Import and de‐Quenching Competition (IQ‐compete) assay is a novel method to monitor the import efficiency of different proteins by fluorescence in living yeast cells.
Yasmin Hoffman +3 more
wiley +1 more source
On weak solutions of a control-volume model for liquid films flowing down a fibre [PDF]
, 2023 Roman M. Taranets +2 more
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Dimensionalities of weak solutions in hydrogenic systems [PDF]
Journal of Physics A: Mathematical and General, 2006 A close inspection on the 3D hydrogen atom Hamiltonian revealed formal eigenvectors often discarded in the literature. Although not in its domain, such eigenvectors belong to the Hilbert space, and so their time evolution is well defined. They are then related to the 1D and 2D hydrogen atoms and it is numerically found that they have continuous ...
Lopez-Castillo, A. +1 more
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Why emerging leaders should focus on being good postdoctoral supervisors
FEBS Letters, EarlyView.Swamped with work and suddenly a new student is waiting at your doorstep for supervision? Great—this is your chance! In this article, we share tips on how postdocs can strengthen their leadership skills while supervising students. This image has been created using DALL·E. Many postdocs work as leaders later in their career.
Hannah Rostalski +5 more
wiley +1 more source
Source term model for elasticity system with nonlinear dissipative term in a thin domain
Demonstratio Mathematica, 2022 This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works.
Dilmi Mohamed +3 more
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