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rdf:type
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Description
| - We show striking differences in pattern formation produced by the Cahn-Hilliard model with the p-Laplacian and a C1,mý potential (0 { mý ? 1) in place of the regular (linear) Laplace operator and a C2 potential. The corresponding energy functional exhibits multi-dimensional continua (?polyhedra?) of critical points as opposed to the classical case with the Laplace operator. Each of these continua is a finite-dimensional, compact C1,1 manifold with boundary. Some of the critical points are local minimizers of the energy functional in the topology of the Sobolev space W1,p(0, 1), whereas others are only saddle points. The former are interior points of the corresponding continuum (viewed as a compact manifold with boundary), while the latter are boundary points. For the dynamical system generated by the corresponding time-dependent parabolic problem, these facts offer an explanation of the ?slow dynamics? near the continua.
- We show striking differences in pattern formation produced by the Cahn-Hilliard model with the p-Laplacian and a C1,mý potential (0 { mý ? 1) in place of the regular (linear) Laplace operator and a C2 potential. The corresponding energy functional exhibits multi-dimensional continua (?polyhedra?) of critical points as opposed to the classical case with the Laplace operator. Each of these continua is a finite-dimensional, compact C1,1 manifold with boundary. Some of the critical points are local minimizers of the energy functional in the topology of the Sobolev space W1,p(0, 1), whereas others are only saddle points. The former are interior points of the corresponding continuum (viewed as a compact manifold with boundary), while the latter are boundary points. For the dynamical system generated by the corresponding time-dependent parabolic problem, these facts offer an explanation of the ?slow dynamics? near the continua. (en)
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Title
| - Manifolds of Critical Points in a Quasilinear Model for Phase Transitions
- Manifolds of Critical Points in a Quasilinear Model for Phase Transitions (en)
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skos:prefLabel
| - Manifolds of Critical Points in a Quasilinear Model for Phase Transitions
- Manifolds of Critical Points in a Quasilinear Model for Phase Transitions (en)
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skos:notation
| - RIV/49777513:23520/11:43898316!RIV12-MSM-23520___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(MEB100902), Z(MSM4977751301)
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/11:43898316
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - generalized Cahn-Hilliard and bi-stable equations, p-Laplacian,nonunique continuation for the spatial problem, phase plane analysis, first integral, uniquenessfor the gradient flow, manifolds of critical points. (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
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http://linked.open...i/riv/nazevZdroje
| - Nonlinear Elliptic Partial Differential Equations : [Contemporary Mathematics. Vol. 540]
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Drábek, Pavel
- Manásevich, Raúl
- Takáč, Petr
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http://linked.open...vavai/riv/typAkce
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http://linked.open...ain/vavai/riv/wos
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http://linked.open.../riv/zahajeniAkce
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://purl.org/ne...btex#hasPublisher
| - American Mathematical Society
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https://schema.org/isbn
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http://localhost/t...ganizacniJednotka
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