搜索结果: 1-15 共查到“知识库 抛物型偏微分方程”相关记录89条 . 查询时间(2.37 秒)
随机退化抛物方程的两类多目标问题
随机退化 抛物方程 两类多目标问题
2023/12/13
This paper is devoted to studying two multiobjective problems for stochastic degenerate parabolic equations. The first one is a hierarchical control problem, in which the controls are classified into ...
各向异性的非线性抛物方程解的爆破
爆破性 各向异性方程 正初始能量 狄利克雷边界条件
2022/3/18
考虑带有齐次狄利克雷边界条件的各向异性的非线性抛物方程ut=∑ni=1(uxipi-2uxi)/xi+f(u)。利用能量泛函的方法,证明解在正初始能量的情形下具有爆破性。
本文考虑二阶抛物系统的边界控制问题. 系统的状态方程包含了对流和反应扩散项. 通过后推法, 建立了系统
的边界控制律, 并且获得了后推变换核矩阵方程的级数解. 通过后推变换及其逆变换的有界性, 证明了闭环系统的稳定
性. 对一个具体的系统进行了仿真, 结果用图形呈现出来.
细杆在抛物线壁内支承，平衡特性与杆长、倾角和摩擦因子相关.细杆在自身重力作用下可发生焦点下方的顺时针运动，焦点上方的逆时针运动以及两端同时下滑.基于端部支撑力达到摩擦锥边界的条件，可确定细杆状态为不平衡、稳定或不稳定的平衡和摩擦平衡.平衡集为具有宽度的叉式分岔.
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Metastability for Non-Linear Random Perturbations of Dynamical Systems
Quasi linear parabolic equation the small parameter the second order items
2015/9/28
In this paper we describe the long time behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding di@...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
Entropy and Renormalized Solutions for the p(x)-Kaokacuab Equation with Measure Data
Variable exponents Entropy solutions Renormalized solutions Exist- ence Uniqueness
2015/5/4
In this paper we prove the existence and uniqueness of both entropy solutions and renormalized solutions for the p(x)-Laplacian equation with variable exponents and a signed measure in L 1 (Ω) +...
具双重退化抛物型方程的重整化解
重整化解 双重退化
2011/10/18
本文利用补偿紧致方法证明了具有双重退化的非线性抛物型方程重整化解的存在性，这类解强于BV解，其唯一性可由前人证得的BV解的唯一性得到。
非线性临界P-双调和抛物型方程解的存在性
p-双调和抛物型方程 整体解 瞬间完全爆破 Rellich不等式 最佳常数
2011/10/17
文中研究了非线性临界p-双调和抛物型方程的初边值问题。作者分别在次临界，临界和超临界情形讨论了解的整体存在性和爆破性。本文结果表明问题(P)的解的存在与否强烈依赖于参数λ和指数p.
The Quenching Phenomena for Fourth-order Nonlinear Parabolic Equationos
Quenching phenomena fourth-order parabolic equation Quenching time
2011/10/15
In this paper, we investigate the quenching phenomena of initial boundary value problem for the fourth-order nonlinear parabolic equations in bounded domains. First, we not only obtain quenching pheno...
The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
2011/10/15
In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
抛物型方程线性元有限体积法的超收敛性
抛物型方程 应力佳点 有限体积元法 超收敛
2012/11/14
针对求解二维抛物型方程的三角网上线性有限体积元格式, 证明了半离散和全离散格式的整体超收敛性, 并得到了解梯度在插值应力佳点上的超收敛估计. 数值算例验证了理论结果的正确性。
用改进的JGS迭代方法求解抛物型方程, 构造了一种新的并行计算格式, 并证明了新算法是绝对稳定的、 显式的, 截断误差达到O(τ+h2). 数值实验结果与理论分析相符。
Boundary value problem for a classical semilinear parabolic equation
positive solution global existence blow-up omega-limit
2011/2/28
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.