Results 41 to 50 of about 30,499 (304)

Trudinger's parabolic equation

Discrete and Continuous Dynamical Systems
We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method.
Lindqvist, Peter, Parviainen, Mikko, Sarsa, Saara   +2 more
openaire   +2 more sources

Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]

, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core  

Global asymptotic behaviour in some functional parabolic equations [PDF]

, 2002
The global asymptotic behavior in some functional parabolic equations was presented. The sufficient condition for the global convergence to a spatially uniform equilibrium in the system of functional partial differential equations was provided.
Laister, Robert
core   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Systolic arrays for group explicit methods for solving parabolic partial differential equations [PDF]

, 1988
A systolic array implementation for solving parabolic equations numerically is presented. The finite-difference methods used are stable asymmetric approximations to the partial differential equations, which when coupled in groups of two adjacent points ...
Megson, G.M., Evans, D.J.
core   +1 more source

From Photoalignment to Structured Light: Liquid Crystal Platforms for Beam Shaping and Complex Wavefronts

Advanced Functional Materials, EarlyView.
Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou, Tingjun Zhong, Sijie Liu, Pouya Nosratkhah, Ke Xu, Yuzhen Zhao, Kristiaan Neyts   +6 more
wiley   +1 more source

Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations

Mathematics
The optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na, Tianjiao Men, Runmei Du, Yingjie Zhu   +3 more
doaj   +1 more source

A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

Boundary Value Problems, 2019
In this paper, we present a reduced high-order compact finite difference scheme for numerical solution of the parabolic equations. CFDS4 is applied to attain high accuracy for numerical solution of parabolic equations, but its computational efficiency ...
Baozou Xu, Xiaohua Zhang
doaj   +1 more source

Higher-order finite-difference methods for partial differential equations [PDF]

, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter, Cheema, T.A.
core  

On the well-posedness of the Cauchy problem for a class of Pseudo-differential parabolic equations [PDF]

, 2018
In this work we study the well-posedness of the Cauchy problem for a class of pseudo-differential parabolic equations in the framework of Weyl-H\"ormander calculus.
Julio Delgado, Delgado Valencia, JC
core   +1 more source