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blow-up for Doubly Degenerate Nonlinear Parabolic Equations

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Acta Mathematica Sinica,English Series 2008年第9期24卷 1525-1532页

作者： Ming Yu CHEN School of Science,Quanzhou Nomal University,Quanzhou,Fujian 362000,P,R.China School of Science Quanzhou Nomal University Quanzhou P. R. China

In this paper, we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem of some doubly degenerate nonlinear parabolic equations.

关键词： doubly degenerate parabolic equation weak solution blow up global existence first eigenvalue

blow up for Systems of Wave Equations in Exterior Domain

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Chinese Annals of Mathematics,Series B 2019年第3期40卷 339-348页

作者： Xiuwen LUO School of Mathematical Sciences Fudan University

In this paper the author studies the initial boundary value problem of semilinear wave systems in exterior domain in high dimensions(n ≥ 3). blow up result is established and what is more, the author gets the upper b... 详细信息

关键词： Wave equations Exterior domain blow up Lifespan

blow-UP OF SOLUTION FOR A VISCOELASTIC WAVE EQUATION WITH DELAY

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Acta Mathematica Scientia 2019年第1期39卷 329-338页

作者： Shun-Tang WU General Education Center National Taipei University of Technology

In this paper, we consider the following viscoelastic wave equation with delay|u_t|~ρu_(tt)-△u-△u_(tt)+∫_0~t g(t-8)△u(8)d8 + μ_1 u_t(x,t) + μ_2 u_t(x,t-τ) = b|u|^(p-2) u in a bounded domain. Under appropriate conditions on μ1, μ2, the kernel function g, the nonlinear source and the initial data, there are solutions that blow up in finite time.

关键词： blow up nonlinear source wave equation delay viscoelastic

Regular solutions for multiplicative stochastic Landau-Lifshitz-Gilbert equation and blow-up phenomena

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Science China Mathematics 2010年第12期53卷 3115-3130页

作者： PU XueKe 1, & GUO BoLing 2 1 College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China 2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China College of Mathematics and Statistics Chongqing University Chongqing China Institute of Applied Physics and Computational Mathematics Beijing China

The two-dimensional Landau-Lifshitz-Gilbert equation of motion for a classical magnetic moment perturbed by a multiplicative noise is considered. This equation is highly nonlinear in nature and, for this reason, many mathematical results in stochastic partial differential equations (SPDEs) cannot be applied. The aim of this work is to introduce the difference method to handle SPDEs and prove the existence of regular martingale solutions in dimension two. Some blow-up phenomena are presented, which are drastically different from the deterministic case. Finally, to yield correct thermal-equilibrium properties, Stratonovitch integral is used instead of Ito integral.

关键词： stochastic Landau-Lifshitz-Gilbert equation regular solution difference method blow up

GLOBAL SOLUTIONS AND blow UP FOR ACTIVATOR INHIBITOR MODEL

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Systems Science and Mathematical Sciences 1998年第3期11卷 238-244页

作者： ZHANG Quande(Department of Mathematics, Shaanxi Normal University, Xi’an 710062, China)LI Kaitai(Research Center for Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, China)

This paper deals with the existence and nonexistence of global positive solutions of initial and boundary value problem for the general activator-inhibitor model In this paper, we do not restrict ourselves to the initial data 1/uo, 1/uo ∈L∞(Ω). We prove that there exist glolal solutions if 0 ≤ u0 ≤ u0 and they will blow up in finite time if 0 ≤ v0 ＜ u0 whether u0, v0 are small or large.

关键词： Global solutions blow up of solution activator-inhibitor model

Solar Multi-Spectral Radiometric Observations of Atmospheric Optical Thickness over Passarlapudi Gas Well blow-Out Site in India

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Advances in Atmospheric Sciences 1997年第3期14卷 130-137页

ＳｏｌａｒＭｕｌｔｉ－ＳｐｅｃｔｒａｌＲａｄｉｏｍｅｔｒｉｃＯｂｓｅｒｖａｔｉｏｎｓｏｆＡｔｍｏｓｐｈｅｒｉｃＯｐｔｉｃａｌＴｈｉｃｋｎｅｓｏｖｅｒＰａｓａｒｌａｐｕｄｉＧａｓＷｅｌＢｌｏｗ－ＯｕｔＳｉｔｅｉｎＩｎｄ... 详细信息

ＳｏｌａｒＭｕｌｔｉ－ＳｐｅｃｔｒａｌＲａｄｉｏｍｅｔｒｉｃＯｂｓｅｒｖａｔｉｏｎｓｏｆＡｔｍｏｓｐｈｅｒｉｃＯｐｔｉｃａｌＴｈｉｃｋｎｅｓｏｖｅｒＰａｓａｒｌａｐｕｄｉＧａｓＷｅｌＢｌｏｗ－ＯｕｔＳｉｔｅｉｎＩｎｄｉａＧ．Ｐａｎｄｉｔｈｕｒａｉａｎ...

关键词： blow over Site Solar Multi-Spectral Radiometric Observations of Atmospheric Optical Thickness over Passarlapudi Gas Well blow-Out Site in India

blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms

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Applied Mathematics 2015年第5期6卷 806-816页

作者： Liang Guo Zhaoqin Yuan Guoguang Lin Department of Mathematics Yunnan University Kunming China

In this paper, we consider an initial-boundary value problem for a nonlinear viscoelastic wave equation with strong damping, nonlinear damping and source terms. We proved a blow up result for the solution with negativ... 详细信息

关键词： Viscoelastic Equation blow Up Global Existence

Modification and Development of a blow Molding Machine

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Engineering（科研） 2012年第4期4卷 188-197页

作者： Bassam A. Al-Helou Faculty of Engineering Technology Zarqa University Zarqa Jordan

This study is based on the modification and development of a two-liter plastic container blow molding machine into a five-liter one provided with a translucent view stripe. This study considers some objectives including reducing the total cost, increasing the amount of plastic recovery, and raising the desired plastic materials. Proper designs were prepared and directly applied on spot. Tangible results were obtained. Among others, the modification of some components of the machine, e.g. the extruder, has led to the possible reuse of the milled (recovery) and extra material from the manufacturing processes. That was also conducive to an effective reduction in the cost of production to 50% in some cases. Prior to its modification, this old machine was used to produce polyvinyl chloride (PVC) containers that have become prohibited these days for their damaging effect on man’s life. For now, and after modification, it has become possible to use High Density Polyethylene (HDPE) material, a fact that has improved labor conditions, too.

关键词： blow Molding Machines Translucent View Stripe Container Extruder

The Role of Space Dimension on the blow up for a Reaction-Diffusion Equation

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Applied Mathematics 2011年第5期2卷 575-578页

作者： Zhilei Liang 不详

This paper deals with the doubly degenerate reaction-di?usion equation where , , and B(0,1) denotes a unit ball in RN with the center in origin. We prove that the blow up phenomenon can be restrained if the space dimension N is taken su?ciently large. Moreover, the critical condition guaranteeing the absence (or occurrence) of the blow up is achieved.

关键词： Reaction-Diffusion Source Term Space Dimension blow up