Results 111 to 120 of about 102,040 (246)
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
This study presents an efficient method to compute polymer stress‐tensor components in viscoelastic laminar jet flows using models such as Oldroyd‐B, Giesekus, PTT, and FENE. By assuming a stationary and parallel flow, the methodology significantly reduces computational cost.
Rafael de Lima Sterza +3 more
wiley +1 more source
Viscosity solutions of fully nonlinear functional parabolic PDE
By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth.
Liu Wei-an, Lu Gang
doaj +1 more source
On strongly nonlinear parabolic equations
AbstractThe initial-value problem dudt + A(u) = ƒ; u(0) = 0, where A is a nonlinear coercive operator mapping X into Y∗ is considered. X and Y are two reflexive Banach spaces and A is assumed to satisfy some weak continuity properties.The results give the existence of Hopf's solution of the Navier-Stokes equations as well as solutions of equations of ...
openaire +2 more sources
Ch‐Ch‐Ch‐Ch‐Changes: The Impact of Supply Base Growth, Contraction, and Turnover on Firm Innovation
ABSTRACT Modern supply chains are experiencing more disturbances due to regulatory shifts, rising sustainability standards, emerging or declining markets, and disruption to critical inputs. Some firms react by strengthening existing supplier partnerships to resist changes, while others reconfigure relationships with suppliers to embrace changes ...
Jordan M. Barker +3 more
wiley +1 more source
Numerical approximations of difference functional equations and applications [PDF]
We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order partial
Zdzisław Kamont
doaj
Long‐Range Exciton Energy Transfer in Two‐Dimensional Materials
This review highlights recent advances in long‐range exciton energy transfer within planar 2D‐material architectures. It emphasizes the emergence of self‐hybridized excitonpolaritons, exciton coupling to surface plasmon polaritons and plasmonic lattices, and the role of dipoledipole transfer pathways in enabling efficient nanoscale energy transport ...
Paul H. Bittorf +8 more
wiley +1 more source
First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1+1 more source
Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
wiley +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source

