Blow-up of Solution for Initial Boundary Value Problem of Reaction Diffusion Equations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 1
Abstract
In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction diffusion equations with multiple nonlinearities is studied. We prove, under suitable conditions on memory and nonlinearities term and for negative or positive initial energy, a global nonexistence theorem.
Authors and Affiliations
Qiao Baomin
Numerical solution of fuzzy delay differential equations under generalized differentiability by Euler's method
In this paper, we interpret a fuzzy delay differential equations using the concept of generalized differentiability. Using the Generalized Characterization Theorem, we investigate the problem of finding a numerical appro...
Leibnizs rule and Fubinis theorem associated with Hahn difference operators
In $1945$, Wolfgang Hahn introduced his difference operator $D_{q,\omega}$, which is defined by where $\displaystyle{\omega_0=\frac {\omega}{1-q}}$ with $0<q<1, \omega>0.$ In this paper, we establish Leibniz's r...
Role of Conservation Laws in the Development of Nonequilibrium and Emergence of Turbulence
It turns out that the equations of mathematical physics, which consist equations of the conservation laws for energy, linear momentum, angular momentum, and mass, possess additional, hidden, properties that enables one t...
Estimation of the Optimal Regularization Parameters in Optimal Control Problems with time delay
In this paper we use the L-curve method and the Morozov discrepancy principle for the estimation of the regularization parameter in the regularization of time-delayed optimal control computation. Zeroth order, first orde...
A paradigm shift in mathematical physics, Part 2: A new local realism explains Bell test & other experiments
An earlier article in this journal introduced a renegade theory called the Theory of Elementary Waves (TEW). Whereas quantum mathematics (QM) is a science of observables, TEW is a science of physical nature independent o...