Results 51 to 60 of about 1,451,898 (379)
A parabolic differential equation with unbounded piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, 1992 A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t−[λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
doaj +1 more source
Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line
Journal of Nonlinear Mathematical Physics, 2016 We present a 3×3 Riemann-Hilbert problem formalism for the initial-boundary value problem of the two-component nonlinear Schrödinger (2-NLS) equation on the half-line.
Jian Xu
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The Initial-Boundary Value Problem for the Korteweg–de Vries Equation [PDF]
, 2005 We prove local well-posedness of the initial-boundary value problem for the Korteweg–de Vries equation on right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary
J. Holmer
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Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics
FEBS Open Bio, EarlyView.Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini +2 more
wiley +1 more source
The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line [PDF]
Differential and Integral Equations, 2005 We prove, by adapting the method of Colliander-Kenig (9), local well- posedness of the initial-boundary value problem for the one-dimensional nonlinear Schrodinger equation i@tu+@ 2 xu+ u|u| 1 = 0 on the half-line under low boundary regularity ...
Justin Holmer
semanticscholar +1 more source
Thrombolytic proteins profiling: High‐throughput activity, selectivity, and resistance assays
FEBS Open Bio, EarlyView.We present optimized biochemical protocols for evaluating thrombolytic proteins, enabling rapid and robust screening of enzymatic activity, inhibition resistance, and fibrin affinity, stimulation, and selectivity. The outcome translates to key clinical indicators such as biological half‐life and bleeding risk. These assays streamline the development of
Martin Toul +3 more
wiley +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The inverse problem of finding the initial distribution has been studied on the basis of formulas for the solution of the first initial-boundary value problem for the inhomogeneous two-dimentional heat equation. The uniqueness of the solution of the direct
Artur R Zaynullov
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Initial boundary value problem for generalized Zakharov equations [PDF]
Applications of Mathematics, 2012 The authors consider the following generalized Zakharov system \[ \begin{cases} iE_t + \Delta E - H^2\Delta ^2E - nE &= 0 \\ n_{tt} - \Delta n + H^2\Delta ^2n - \Delta | E| ^2 &= 0, \end{cases} \] where \(H\) is a dimensionless parameter, \(E\: \mathbb {R}^{+}\times \Omega \to \mathbb {C}^2\) and \(n\: \mathbb {R}^{+}\times \Omega \to \mathbb {R ...
Shujun You, Boling Guo, Xiaoqi Ning
openaire +2 more sources
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]
, 2011 In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
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FEBS Open Bio, EarlyView.What factors make for an effective digital learning tool in Higher Education? This systematic review identifies elements of a digital tool that published examples reveal to be features of an engaging and impactful digital tool. A systematic literature search yielded 25 research papers for analysis.
Akmal Arzeman +4 more
wiley +1 more source