WorldCat Identities

Ni, W.-M (Wei-Ming)

Overview
Works: 19 works in 83 publications in 4 languages and 817 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other
Classifications: QA377, 515.353
Publication Timeline
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Most widely held works by W.-M Ni
Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held August 25-September 12, 1986 by W.-M Ni( Book )

17 editions published between 1988 and 1992 in English and held by 220 WorldCat member libraries worldwide

Degenerate diffusions by W.-M Ni( Book )

14 editions published between 1992 and 1993 in English and German and held by 177 WorldCat member libraries worldwide

This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13-May 18, 1991. The workshop consisted of two parts. The emphasis of the first four days was on current progress or new problems in nonlinear diffusions involving free boundaries or sharp interfaces. Analysts and geometers will find some of the mathematical models described in this volume interesting; and the papers of more pure mathematical nature included here should provide applied mathematicians with powerful methods and useful techniques in handling singular perturbation problems as well as free boundary problems. The last two days of the workshop were a celebration of James Serrin's 65th birthday. A wide range of topics was covered in this part of the workshop. As a consequence, the scope of this book is much broader than what the title Degenerate Diffusions might suggest
The mathematics of diffusion by W.-M Ni( Book )

12 editions published in 2011 in English and held by 175 WorldCat member libraries worldwide

Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements, and spatial heterogeneity in the classical Lotka-Volterra competition systems. Interspersed throughout the book are many simple, fundamental, and important open problems for readers to investigate
Nonlinear diffusion equations and their equilibrium states II : proceedings of a microprogram held August 25 - September 12, 1986 by W.-M Ni( Book )

16 editions published in 1988 in 3 languages and held by 49 WorldCat member libraries worldwide

In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the Lend-Emden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
Proceedings of a microprogram held August 25 - September 12, 1986 : W.-M. Ni ; L.A. Peletier ; J. Serrin, eds( Book )

2 editions published in 1988 in English and held by 15 WorldCat member libraries worldwide

Nonlinear diffusion equations and their equilibrium states, 3 : proceedings from a conference held August 20-29, 1989, in Gregynog, Wales by Nonlinear Diffusion Equations and their Equilibrium States( Book )

3 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up
A counterexample to the Nodal Domain Conjecture and a related semilinear equation* by Chang-Shou Lin( Book )

2 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide

Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held Aug. 25 - Sept. 12, 1986( Book )

2 editions published in 1988 in English and held by 3 WorldCat member libraries worldwide

Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held Aug. 25 - Sept. 12, 1986( Book )

1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide

Some minimax principles with applications in non linear elliptic boundary value problems and global vortex flow by W.-M Ni( Book )

3 editions published in 1979 in English and Undetermined and held by 2 WorldCat member libraries worldwide

Convegno su partial differential equations and geometry( Book )

1 edition published in 1989 in Italian and held by 2 WorldCat member libraries worldwide

On the elliptic equation Lu-k + Ke 2U = 0 by Carlos E Kenig( Book )

2 editions published in 1984 in English and held by 2 WorldCat member libraries worldwide

Zhong kao shi fen 1000 ge wei shen me( Book )

1 edition published in 1997 in Chinese and held by 1 WorldCat member library worldwide

Spike-layers in semilinear elliptic singular perturbation problems by W.-M Ni( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

Mei wen jie jian ci dian( Book )

1 edition published in 2001 in Chinese and held by 1 WorldCat member library worldwide

Nonlinear diffusion equations and their equilibrium states : Microprogram : Papers( )

1 edition published in 1988 in English and held by 1 WorldCat member library worldwide

Spike-layers in semilinear elliptic singular perturbation problems by University of Minnesota( Book )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

On diffusion-induced blowups in a cooperative model by Calif.) Mathematical Sciences Research Institute (Berkeley( Book )

1 edition published in 1996 in English and held by 1 WorldCat member library worldwide

Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held Aug. 25 - Sept. 12, 1986( Book )

1 edition published in 1988 in English and held by 0 WorldCat member libraries worldwide

 
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Degenerate diffusions
Alternative Names
Ni, W.-M.

Ni, Wei-Ming

Nim Wei-Ming.

Wei-Ming Ni.

Languages
Covers
Degenerate diffusionsNonlinear diffusion equations and their equilibrium states, 3 : proceedings from a conference held August 20-29, 1989, in Gregynog, Wales