Results 61 to 70 of about 1,422,735 (373)
On a nonlinear initial boundary-value problem of meteorology
The paper deals with a nonlinear initial boundary-value problem concerning atmospheric processes. The existence of a unique local solution which is analytic in the space - variable and continuously differentiable in time is established. The approach taken in this paper has been previously applied by the author also to the theory of shallow water, to ...
openaire +2 more sources
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]
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
core +1 more source
This study optimizes a two‐step induction system to generate PGCLCs from chicken ESCs. The induced cells express germline markers and migrate to gonads in ovo, offering a novel approach for avian genetic resource conservation. Primordial germ cells (PGCs) are the progenitor cells of sperm and eggs.
Zeyu Li +10 more
wiley +1 more source
Smoothness of solutions of conjugate boundary-value problems on a measure chain
In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
doaj
The Initial-Boundary Value Problem for the Korteweg–de Vries Equation [PDF]
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
semanticscholar +1 more source
Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics
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 mathematical theory of constructing an integral transformation and the inversion formula for it for the third boundary value problem in a domain with a continuous spectrum of eigenvalues are developed.
E. M. Kartashov
doaj +1 more source
Thrombolytic proteins profiling: High‐throughput activity, selectivity, and resistance assays
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
Stability of initial-boundary value problem for quasilinear viscoelastic equations
We investigate the stability of the initial-boundary value problem for the quasilinear viscoelastic equation $$\displaylines{ |u_t|^{\rho}u_{tt}-\Delta u_{tt}-\Delta u+\int_0^tg(t-s)\Delta u(s)ds=0, \quad \text{in }\Omega\times(0,+\infty),\cr u=0 ...
Kun-Peng Jin, Jin Liang, Ti-Jun Xiao
doaj
In this paper, we give the definitions of q,ω $q,\omega $-exponential function and q,ω $q,\omega $-gamma function. New concepts of fractional Hahn’s q,ω $q,\omega $-derivative of Riemann–Liouville type and Caputo type are introduced, meanwhile we discuss
Yizhu Wang, Yiding Liu, Chengmin Hou
doaj +1 more source

