检索结果-南通市图书馆

Lower Bound of blow-up time for Solutions of a Class of Cross Coupled Porous Media Equations

在线全文

学校读者我要写书评

暂无评论

Wuhan University Journal of Natural Sciences 2021年第4期26卷 289-294页

作者： XUE Yingzhen College of Business Xi’an International UniversityXi’an 710077ShaanxiChina

In this paper,blow-up phenomena of solutions to a class of parabolic equations for porous media with nonlocal source terms cross-coupled under Dirichlet and Neumann boundary conditions are *** differential inequality techniques are used to obtain the lower bounds on the blow up time of the equation set under two different boundary conditions.

关键词： porous media equations nonlocal source terms blow-up time

Dependence of the blow-up time with Respect to Parameters for Semilinear Parabolic Equations with Nonlinear Memory

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2009年第3期25卷 246-252页

作者： HUANG HUI GUAN LU-TAI ZHU QING-YONG Department of Mathematics Sun Yat-sen University Guangzhou 510275 Department of Computation Guangdong Commercial College Guangzhou 510320

In this paper we discuss the bounds for the modulus of continuity of the blow-up time with respect to three parameters of λ, h, and p respectively for the initial boundary value problem of the semilinear parabolic eq... 详细信息

关键词： nonlocal parabolic equation nonlinear memory blow-up time bound

Global Existence and Finite time blow-up for the m-Laplacian Parabolic Problem

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2023年第8期39卷 1497-1524页

作者： Yue PANG Vicentiu D.RADULESCU Run Zhang XU College of Mathematical Sciences Harbin Engineering UniversityHarbin 150001P.R.China Faculty of Applied Mathematics AGH University of Science and Technology30-059 Krak´owPoland Department of Mathematics University of CraiovaStreet A.I.Cuza No.13200585 CraiovaRomania

In this paper,we consider an initial boundary value problem of m-Laplacian parabolic equation arising in various physical *** tackle this problem at three different initial energy *** the sub-critical initial energy,we obtain the blow-up result and estimate the lower and upper bounds of the blow-up *** the critical initial energy,we show the global existence,asymptotic behavior,finite time blow-up and the lower bound of the blow-up *** the sup-critical initial energy,we prove the finite time blow-up and estimate the lower and upper bounds of the blow-up time.

关键词： m-Laplacian parabolic equation blow-up blow-up time global existence

blow-up SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS

在线全文

学校读者我要写书评

暂无评论

Journal of Systems Science & Complexity 2005年第2期18卷 265-276页

作者： DINGJuntang LIShengjia SchoolofMathematicalSciences ShanxiUniversityTaiyuan030006China

By constructing an auxiliary function and using Hopf 's maximum principles onit, existence theorems of blow-up solutions, upper bound of 'blow-up time' and upper estimates of'blow-up rate' are given under suitable assumptions on a, b, f, g, σ and initial date u_0(x). Theobtained results are applied to some examples in which a, b, f, g and σ are power functions orexponential functions.

关键词： nonlinear parabolic equations blow-up solutions blow-up time blow-up rate maximum principles

具有奇异势和一般非线性的伪抛物方程解的局部存在性和爆破

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2024年第2期39卷 111-127页

作者：江东月唐忠华房少梅 College of Mathematics and Informatics South China Agricultural UniversityGuangzhou 510642China

In this paper,a semilinear pseudo-parabolic equation with a general nonlin-earity and singular potential is *** prove the local existence of solution by Galerkin method and contraction mapping ***,we prove the blow-up of solution and estimate the upper bound of the blow-up time for J(u0)≤***,we prove the finite time blow-up and estimate the upper bound of blow-up time for J(u0)>0.

关键词： Pseudo-parabolic equation Singular potential General nonlinearity Local existence blow-up time

维普期刊数据库博看期刊

blow-up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2024年第4期39卷 331-354页

作者： LI Ping LI Feng-jie College of Science China University of PetroleumQingdao 266580China

This paper deals with an initial-boundary value problem of a fourth-order parabolic equation involving Logarithmic type p-Laplacian,which could be proposed as a model for the epitaxial growth of thin *** using the variational method and the logarithmic type Sobolev inequality,we give some threshold results for blow-up solutions and global solutions,which could be classified by the initial *** asymptotic estimates about blow-up time and decay estimate of weak solutions are obtained.

关键词： High order parabolic equation blow-up time Decay estimate Global existence Logarithmic type p-Laplacian