Results 71 to 80 of about 233,511 (375)
Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
doaj +1 more source
Advances in Differential Equations, 2019 In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy)$A ( x,y,z ) z_{xx} +C ...
R. K. Mohanty +2 more
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp +7 more
wiley +1 more source
AIMS Mathematics, 2023 This paper suggests reduced-order modeling using the Galerkin proper orthogonal decomposition (POD) to find approximate solutions for parabolic partial differential equations.
Jeong-Kweon Seo, Byeong-Chun Shin
doaj +1 more source
Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension
, 2010 We derive the higher dimensional generalization of Penrose-Tod equation describing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation. Results for D=4 dimensions are summarized.
Svitek, Otakar
core +1 more source
Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties
Advanced Functional Materials, EarlyView.This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari +8 more
wiley +1 more source
Nonclassical dynamical behavior of solutions of partial differential-difference equations
AIMS MathematicsFor partial differential-difference equations, a review of results regarding the relation between the type of the equation and dynamical properties of its solutions is provided.
Andrey Muravnik
doaj +1 more source
Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying ...
Albo Carlos Cavalheiro
doaj +1 more source
LOW-ENERGY ELECTRON SCATTERING IN A FORCE FIELD WITH CENTRAL SYMMETRY
Современная наука и инновации, 2022 In this article, we will consider another example of using the reference modeling method to find a solution to a partial differential equation, this time an elliptic one.
A. B. Cheboksarov +2 more
doaj +1 more source
Invasion moving boundary problem for a biofilm reactor model
, 2017 The work presents the analysis of the free boundary value problem related to the invasion model of new species in biofilm reactors. In the framework of continuum approach to mathematical modelling of biofilm growth, the problem consists of a system of ...
D'Acunto, Berardino +3 more
core +1 more source