FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3003186199> ?p ?o ?g. }

• W3003186199 abstract "We study global attractors $mathcal{A}=mathcal{A}_f$ of semiflows generated by semilinear partial parabolic differential equations of the form $u_t = u_{xx} + f(x,u,u_x), 0<x<1$, satisfying Neumann boundary conditions. The equilibria $vinmathcal{E}subsetmathcal{A}$ of the semiflow are the stationary solutions of the PDE, hence they are solutions of the corresponding second order ODE boundary value problem. Assuming hyperbolicity of all equilibria, the dynamic decomposition of $mathcal{A}$ into unstable manifolds of equilibria provides a geometric and topological characterization of Sturm global attractors $mathcal{A}$ as finite regular signed CW-complexes, the Sturm complexes, with cells given by the unstable manifolds of equilibria. Concurrently, the permutation $sigma=sigma_f$ derived from the ODE boundary value problem by ordering the equilibria according to their values at the boundaries $x=0,1$, respectively, completely determines the Sturm global attractor $mathcal{A}$. Equivalently, we use a planar curve, the meander $mathcal{M}=mathcal{M}_f$, associated to the the ODE boundary value problem by shooting. The main objective of this paper is to derive a minimax property which identifies the equilibria on the cell boundary of $mathcal{O}$ which are closest or most distant from $mathcal{O}$ at the boundaries $x=0,1$, directly from the permutation $sigma$, the Sturm permutation, or equivalently from the meander $mathcal{M}$, the Sturm meander, based on the Sturm nodal properties of the solutions of the ODE boundary value problem. We emphasize the local aspect of this result by applying it to an example for which the identification of the equilibria in the cell boundary of $mathcal{O}$ is obtained from the knowledge of only a section of the Sturm meander $mathcal{M}$." @default.
• W3003186199 created "2020-02-07" @default.
• W3003186199 creator A5068721434 @default.
• W3003186199 creator A5081378400 @default.
• W3003186199 date "2020-02-01" @default.
• W3003186199 modified "2023-09-23" @default.
• W3003186199 title "Meanders, zero numbers and the cell structure of Sturm global attractors." @default.
• W3003186199 cites W135543600 @default.
• W3003186199 cites W1516253977 @default.
• W3003186199 cites W1519411840 @default.
• W3003186199 cites W1527296550 @default.
• W3003186199 cites W1546975556 @default.
• W3003186199 cites W1557040331 @default.
• W3003186199 cites W1560060148 @default.
• W3003186199 cites W1592209446 @default.
• W3003186199 cites W1594759473 @default.
• W3003186199 cites W1902509446 @default.
• W3003186199 cites W1971880976 @default.
• W3003186199 cites W1977331929 @default.
• W3003186199 cites W1979385677 @default.
• W3003186199 cites W1992054862 @default.
• W3003186199 cites W1994180221 @default.
• W3003186199 cites W2023590249 @default.
• W3003186199 cites W2032308777 @default.
• W3003186199 cites W2049967642 @default.
• W3003186199 cites W2067265108 @default.
• W3003186199 cites W2078663048 @default.
• W3003186199 cites W2088020200 @default.
• W3003186199 cites W2090181660 @default.
• W3003186199 cites W2160215365 @default.
• W3003186199 cites W2323856974 @default.
• W3003186199 cites W2597496270 @default.
• W3003186199 cites W2608971868 @default.
• W3003186199 cites W2772692057 @default.
• W3003186199 cites W2798556646 @default.
• W3003186199 cites W2962916690 @default.
• W3003186199 cites W2963585767 @default.
• W3003186199 cites W3016515593 @default.
• W3003186199 cites W3100845877 @default.
• W3003186199 cites W61514442 @default.
• W3003186199 hasPublicationYear "2020" @default.
• W3003186199 type Work @default.
• W3003186199 sameAs 3003186199 @default.
• W3003186199 citedByCount "0" @default.
• W3003186199 crossrefType "posted-content" @default.
• W3003186199 hasAuthorship W3003186199A5068721434 @default.
• W3003186199 hasAuthorship W3003186199A5081378400 @default.
• W3003186199 hasConcept C114614502 @default.
• W3003186199 hasConcept C121332964 @default.
• W3003186199 hasConcept C134306372 @default.
• W3003186199 hasConcept C163681178 @default.
• W3003186199 hasConcept C164380108 @default.
• W3003186199 hasConcept C182310444 @default.
• W3003186199 hasConcept C202444582 @default.
• W3003186199 hasConcept C21308566 @default.
• W3003186199 hasConcept C24890656 @default.
• W3003186199 hasConcept C2778049214 @default.
• W3003186199 hasConcept C33923547 @default.
• W3003186199 hasConcept C34862557 @default.
• W3003186199 hasConcept C62354387 @default.
• W3003186199 hasConcept C62520636 @default.
• W3003186199 hasConceptScore W3003186199C114614502 @default.
• W3003186199 hasConceptScore W3003186199C121332964 @default.
• W3003186199 hasConceptScore W3003186199C134306372 @default.
• W3003186199 hasConceptScore W3003186199C163681178 @default.
• W3003186199 hasConceptScore W3003186199C164380108 @default.
• W3003186199 hasConceptScore W3003186199C182310444 @default.
• W3003186199 hasConceptScore W3003186199C202444582 @default.
• W3003186199 hasConceptScore W3003186199C21308566 @default.
• W3003186199 hasConceptScore W3003186199C24890656 @default.
• W3003186199 hasConceptScore W3003186199C2778049214 @default.
• W3003186199 hasConceptScore W3003186199C33923547 @default.
• W3003186199 hasConceptScore W3003186199C34862557 @default.
• W3003186199 hasConceptScore W3003186199C62354387 @default.
• W3003186199 hasConceptScore W3003186199C62520636 @default.
• W3003186199 hasLocation W30031861991 @default.
• W3003186199 hasOpenAccess W3003186199 @default.
• W3003186199 hasPrimaryLocation W30031861991 @default.
• W3003186199 hasRelatedWork W1472152530 @default.
• W3003186199 hasRelatedWork W1556958275 @default.
• W3003186199 hasRelatedWork W1875921539 @default.
• W3003186199 hasRelatedWork W1964506284 @default.
• W3003186199 hasRelatedWork W1970053775 @default.
• W3003186199 hasRelatedWork W2020010349 @default.
• W3003186199 hasRelatedWork W2030550554 @default.
• W3003186199 hasRelatedWork W2041077968 @default.
• W3003186199 hasRelatedWork W2048009764 @default.
• W3003186199 hasRelatedWork W2051361704 @default.
• W3003186199 hasRelatedWork W2082578542 @default.
• W3003186199 hasRelatedWork W2083575790 @default.
• W3003186199 hasRelatedWork W2083866479 @default.
• W3003186199 hasRelatedWork W2235069130 @default.
• W3003186199 hasRelatedWork W2472588228 @default.
• W3003186199 hasRelatedWork W2546065916 @default.
• W3003186199 hasRelatedWork W2964183336 @default.
• W3003186199 hasRelatedWork W2989681338 @default.
• W3003186199 hasRelatedWork W2741751416 @default.
• W3003186199 hasRelatedWork W2934564455 @default.
• W3003186199 isParatext "false" @default.
• W3003186199 isRetracted "false" @default.

• next