Applied mathematics Higher order symmetries of the (2+1) heat equation with a source term UNIVERSITY OF CENTRAL ARKANSAS Daniel J. Arrigo ParhamZackSymmetry analysis has played an important role in obtaining exact solutions of partial differential equations. A particular class of equations that has ...
Monotonicity in Time and Stationary Solutions for a Quasilinear Heat Equation with Source 来自 掌桥科研 喜欢 0 阅读量: 26 作者: Matemáticas 摘要: The authors consider monotonicity properties of solutions of the parabolic equation u t =Δu σ+1 +u β in n ×]0,T[, where σ>0 and ...
Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time Given a control region Ω on a compact Riemannian manifold M, we consider the heat equation with a source term g localized in Ω. It is known that any init... MILLER,L - 《Journal of ...
Cazenave A nonlinear heat equation with singular initial data J. Anal. Math., 68 (1996), pp. 277-304 View in ScopusGoogle Scholar [5] T. Cazenave, F. Dickstein, I. Naumkin, F.B. Weissler Sign-changing self-similar solutions of the nonlinear heat equation with positive initial value ar...
The gradient blowup rate of the equation u t = u + ||u| p , where p > 2, is studied. It is shown that the blowup rate will never match that of the self-similar variables. In the one space dimensional case when as-sumptions are made on the initial data so that the solution ...
Virtual signal in the heat equation and the enclosure method A relationship between travel time, heat equation and exponential solutions for backward heat equation are discussed. For the purpose an inverse source pro... M Ikehata 被引量: 13发表: 2007年 The enclosure method for the heat equation...
We study inverse boundary problems for a one dimensional linear integro-differential equation of the Gurtin--Pipkin type with the Dirichlet-to-Neumann map as the inverse data. Under natural conditions on the kernel of the integral operator, we give the explicit formula for the solution of the pr...
Fractional heat conduction equation with the harmonic source term under zero initial conditions is studied. Different formulations of the problem for the standard parabolic heat conduction equation and for the hyperbolic wave equation appearing in thermoelasticity without energy dissipation are discussed. The...
Analysing this problem, we can figure out that the system has not heat source and only two ends of the bar transmit heat with the medium, so the boundary condition accord with Newton’s law of cooling, we can get the following heat conduction equation: 2 − = 0...
Blow-up behavior for a nonlinear heat equation with a localized source in a ball In this paper, we consider the initial-boundary value problem of a semilinear parabolic equation with local and non-local (localized) reactions in a ball: ... I Fukuda,R Suzuki - 《Journal of Differential Equ...