1) semilinear heat conduction equation
半线性热传导方程
1.
This paper studies the stability of solutions to a class of semilinear heat conduction in higher dimension with the method of integration and proves that the solutions of mixed problem of semilinear heat conduction equation in higher dimension is continuously dependent on free term, initial value, boundary value in a sense.
运用积分方法研究一类高维半线性热传导方程解的连续依赖性,证明高维半线性热传导方程混合问题的解在一定意义下关于自由项、初值和边值是连续依赖的。
2) non-linear heat conduction equation
非线性热传导方程
1.
A new non-linear heat conduction equation based on equivalent time is advanced and applied to solve the temperature field and stress field of Longtan RCC dam.
用化学反应速率描述温度对混凝土绝热温升的影响,求解基于等效时间的非线性热传导方程,对龙滩水电站碾压混凝土坝的温度场和徐变应力场进行了仿真计算。
2.
Then the non-linear heat conduction equation based on the equivalent time theory is applied to simulate and analyze the temperature fields of Longtan RCC gravity dam.
应用基于等效时间的非线性热传导方程,对龙滩碾压混凝土重力坝温度场进行仿真分析,并与传统理论计算结果比较。
3) nonlinear heat conduction equation
非线性热传导方程
1.
The extension of travelling wave solutions for the nonlinear heat conduction equation;
对非线性热传导方程行波解的推广
2.
In this paper, the nonlinear heat conduction equation θ/τ=a Δ θ m with the nonlinear heat source and boundary source are discussed.
目前 ,关于非线性热传导方程式的分析解仅限于半无限大和无限大固体这类相对简单的几何形状的解 。
4) semilinear heat equation
半线性热方程
1.
exact internal controllability for the semilinear heat equation;
半线性热方程精确内部能控性(英文)
2.
Note on the global solution to the semilinear heat equation;
关于半线性热方程整体解的注记
3.
This paper focuses on the initial problem of certain semilinear heat equations with strong absorption.
研究了一类带有强吸收项的半线性热方程的初值问题,在初值数据为无界的情形下讨论了解的支集的瞬间收缩性质,给出了强吸收项的系数与初值数据之间的具体依赖关系。
5) semilinear heat equations
半线性热方程
1.
This paper is devoted to the study of the semilinear heat equations of the form u_t=Δt+min｛ε~(-1),u~p｝ with strong nonlinear sources.
讨论了具强非线性源的半线性热方程ut=△u+m in{-ε1,up}边值问题解的性质,证明了TK(uε)在L2(0,T;W10,2(Ω))中关于ε是一致有界的,且(TK(uε))t在L2(Q)中关于ε是一致有界的,从而存在一子列和一可测函数u(x,t)使得当ε→0时,uε→u a。
6) Heat-conduction equation
热传导方程
1.
A stefan problem of Heat-conduction equations with heat source;
一类含热源的热传导方程Stefan问题
2.
An ADI scheme for solving heat-conduction equation of high-dimension;
解高维热传导方程的一个高精度ADI格式
3.
In this paper,the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解,证明了近似解对精确解的收敛性。
补充资料：热传导方程
| 热传导方程 heat conduction，equation of 最早在研究热的传导问题时得到的方程。它的一维形式是  ，其中u为温度函数， ，k为热传导系数，c是比热容，ρ是密度， 是外热源密度。热传导方程也可以描述其他物理现象，比如扩散过程等等。方程连同初始条件及(或)边界条件的任一种，都可组成初值问题、边值问题或初边值问题。 |
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条