Problems in Nonlinear Diffusion, Antonio Fasano; Mario Primicerio

Автор: W.-M. Ni; L.A. Peletier; James Serrin
Название: Nonlinear Diffusion Equations and Their Equilibrium States I
ISBN: 1461396077 ISBN-13(EAN): 9781461396079
Издательство: Springer
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Описание: In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = D.u + f(u).

Автор: Arnaud Debussche; Michael H?gele; Peter Imkeller
Название: The Dynamics of Nonlinear Reaction-Diffusion Equations with Small L?vy Noise
ISBN: 3319008277 ISBN-13(EAN): 9783319008271
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Описание: Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.

Автор: N.G Lloyd; M.G. Ni; L.A. Peletier; J. Serrin
Название: Nonlinear Diffusion Equations and Their Equilibrium States, 3
ISBN: 1461267412 ISBN-13(EAN): 9781461267416
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Описание: 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.

Автор: W.-M. Ni; L.A. Peletier; James Serrin
Название: Nonlinear Diffusion Equations and Their Equilibrium States II
ISBN: 1461396107 ISBN-13(EAN): 9781461396109
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Описание: In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = ~U + f(u).

Название: Nonlinear analysis and variational problems
ISBN: 1441901574 ISBN-13(EAN): 9781441901576
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Описание: The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician.

Автор: Svatopluk Fucik
Название: Solvability of Nonlinear Equations and Boundary Value Problems
ISBN: 9027710775 ISBN-13(EAN): 9789027710772
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Автор: Roman Cherniha; Vasyl` Davydovych
Название: Nonlinear Reaction-Diffusion Systems
ISBN: 3319654659 ISBN-13(EAN): 9783319654652
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Описание: 1 Scalar reaction-diffusion equations - conditional symmetry, exact solutions and applications.- 2 Q-conditional symmetries of reaction-diffusion systems.- 3 Conditional symmetries and exact solutions of diffusive Lotka-Volterra systems.- 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems.- A List of reaction-diffusion systems and exact solutions.- Index.

Автор: J.M. Burgers
Название: The Nonlinear Diffusion Equation
ISBN: 9027704945 ISBN-13(EAN): 9789027704948
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Описание: 1-13 ofthe list given at the end ofthe text were written during that period. A six months stay at the Hydrodynamics Laboratories ofthe California Institute of Technology, Pasadena, California (1950-1951}, was supported by a Contract with the Department of the Air F orce, N o.

Автор: Brian H. Gilding; Robert Kersner
Название: Travelling Waves in Nonlinear Diffusion-Convection Reaction
ISBN: 3034896387 ISBN-13(EAN): 9783034896382
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Описание: This monograph has grown out of research we started in 1987, although the foun- dations were laid in the 1970`s when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion.

Автор: Panos M. Pardalos; L.S. Pitsoulis
Название: Nonlinear Assignment Problems
ISBN: 1441948414 ISBN-13(EAN): 9781441948410
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Описание: Nonlinear Assignment Problems (NAPs) are natural extensions of the classic Linear Assignment Problem, and despite the efforts of many researchers over the past three decades, they still remain some of the hardest combinatorial optimization problems to solve exactly.