Results 41 to 50 of about 1,691,019 (337)

The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems

Advanced Nonlinear Studies, 2022
This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
doaj   +1 more source

Qualitative properties of mathematical model for data flow

Networks and Heterogeneous Media, 2021
In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special weak solutions based on propagating fronts is established.
Cory D. Hauck, Michael Herty, Giuseppe Visconti   +2 more
doaj   +1 more source

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, Annika Egeler, Saskia Rödl, Johannes M. Herrmann   +3 more
wiley   +1 more source

Qualitative Analysis of a Control-Volume Fibre Coating Model

Journal of Optimization, Differential Equations and Their Applications
This paper presents qualitative analysis of the solutions to a control-volume model for liquid films flowing down a vertical fibre. Time evolution of the free surface is governed by a coupled system of degenerate nonlinear partial differential equations,
R. M. Taranets, M. Chugunova
doaj   +1 more source

Hamiltonian structure of peakons as weak solutions for the modified Camassa-Holm equation

, 2018
The modified Camassa-Holm (mCH) equation is a bi-Hamiltonian system possessing $N$-peakon weak solutions, for all $N\geq 1$, in the setting of an integral formulation which is used in analysis for studying local well-posedness, global existence, and wave
Anco, Stephen C., Kraus, Daniel
core   +1 more source

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

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, Clara Oudenaarden, Miao Tian, Diyavarshini Gopaul, Anita Kurilla, Pelin Gülizar Ersan   +5 more
wiley   +1 more source

Remark on regularity criteria of a weak solution to the 3D MHD equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We study the regularity conditions for a weak solution to 3D MHD equations in a whole space $\mathbb{R}^3$, based on the papers [C. He, Y. Wang, J. Differential Equations, 238(2007), No. 1, 1–17] and [W. Wang, J. Math. Anal. Appl., 328(2007), No. 2, 1082–
Jae-Myoung Kim
doaj   +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, Shkoller, Steve, Vicol, Vlad   +2 more
openaire   +3 more sources

Structural insights into lacto‐N‐biose I recognition by a family 32 carbohydrate‐binding module from Bifidobacterium bifidum

FEBS Letters, EarlyView.
Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang, Naoki Sunagawa, Toma Kashima, Kiyohiko Igarashi, Akimasa Miyanaga, Shinya Fushinobu   +5 more
wiley   +1 more source