Nonlinear Diffusion Equations and Their Equilibrium States, 3: Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales
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| Other Authors: | , , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
1992
|
| Series: | Progress in Nonlinear Differential Equations and Their Applications
7 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep mathematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current interest 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. Fundamental questions concern the existence, uniqueness and regularity of solutions, 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 |
| Physical Description: | 1 Online-Ressource (X, 572 p) |
| ISBN: | 9781461203933 9781461267416 |
| DOI: | 10.1007/978-1-4612-0393-3 |
Staff View
MARC
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| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461203933 9781461267416 |
| language | English |
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| series | Progress in Nonlinear Differential Equations and Their Applications |
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| spelling | Lloyd, N. G. edt Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales edited by N. G. Lloyd, W. M. Ni, L. A. Peletier, J. Serrin Boston, MA Birkhäuser Boston 1992 1 Online-Ressource (X, 572 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 7 Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep mathematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current interest 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. Fundamental questions concern the existence, uniqueness and regularity of solutions, 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 Mathematics Differentiable dynamical systems Differential Equations Differential equations, partial Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Mathematik 1\p (DE-588)1071861417 Konferenzschrift gnd-content Ni, W. M. edt Peletier, L. A. edt Serrin, J. edt Progress in Nonlinear Differential Equations and Their Applications 7 (DE-604)BV036582883 7 https://doi.org/10.1007/978-1-4612-0393-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales Progress in Nonlinear Differential Equations and Their Applications Mathematics Differentiable dynamical systems Differential Equations Differential equations, partial Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Mathematik |
| subject_GND | (DE-588)1071861417 |
| title | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales |
| title_auth | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales |
| title_exact_search | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales |
| title_full | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales edited by N. G. Lloyd, W. M. Ni, L. A. Peletier, J. Serrin |
| title_fullStr | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales edited by N. G. Lloyd, W. M. Ni, L. A. Peletier, J. Serrin |
| title_full_unstemmed | Nonlinear Diffusion Equations and Their Equilibrium States, 3 Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales edited by N. G. Lloyd, W. M. Ni, L. A. Peletier, J. Serrin |
| title_short | Nonlinear Diffusion Equations and Their Equilibrium States, 3 |
| title_sort | nonlinear diffusion equations and their equilibrium states 3 proceedings from a conference held august 20 29 1989 in gregynog wales |
| title_sub | Proceedings from a Conference held August 20–29, 1989 in Gregynog, Wales |
| topic | Mathematics Differentiable dynamical systems Differential Equations Differential equations, partial Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Mathematik |
| topic_facet | Mathematics Differentiable dynamical systems Differential Equations Differential equations, partial Partial Differential Equations Ordinary Differential Equations Dynamical Systems and Ergodic Theory Mathematik Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4612-0393-3 |
| volume_link | (DE-604)BV036582883 |
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