FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1973108246> ?p ?o ?g. }

• W1973108246 endingPage "520" @default.
• W1973108246 startingPage "485" @default.
• W1973108246 abstract "This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials. The corresponding parabolic-hyperbolic PDE system features a strongly nonlinear internal energy balance equation, governing the evolution of the absolute temperature ϑ, an evolution equation for the phase change parameter χ, including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable u. The main novelty of the model is that the equations for χ and u are coupled in such a way as to take into account the fact that the properties of the viscous and of the elastic parts influence the phase transition phenomenon in different ways. However, this brings about an elliptic degeneracy in the equation for u which needs to be carefully handled. First, we prove a global well-posedness result for the related initial-boundary value problem. Secondly, we address the long-time behavior of the solutions in a simplified situation. We prove that the ω-limit set of the solution trajectories is nonempty, connected and compact in a suitable topology, and that its elements solve the steady state system associated with the evolution problem." @default.
• W1973108246 created "2016-06-24" @default.
• W1973108246 creator A5017446516 @default.
• W1973108246 creator A5031245511 @default.
• W1973108246 date "2008-10-01" @default.
• W1973108246 modified "2023-09-27" @default.
• W1973108246 title "Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials" @default.
• W1973108246 cites W1515685921 @default.
• W1973108246 cites W1582617215 @default.
• W1973108246 cites W1970088479 @default.
• W1973108246 cites W1985838010 @default.
• W1973108246 cites W1989314144 @default.
• W1973108246 cites W1998015501 @default.
• W1973108246 cites W2001600827 @default.
• W1973108246 cites W2038530140 @default.
• W1973108246 cites W2040206678 @default.
• W1973108246 cites W2073078790 @default.
• W1973108246 cites W2074307630 @default.
• W1973108246 cites W2076731528 @default.
• W1973108246 cites W2106664473 @default.
• W1973108246 cites W2118772813 @default.
• W1973108246 cites W2121181367 @default.
• W1973108246 cites W2137654124 @default.
• W1973108246 cites W2147617040 @default.
• W1973108246 cites W2161000563 @default.
• W1973108246 cites W2324452751 @default.
• W1973108246 cites W2329975073 @default.
• W1973108246 cites W2389927528 @default.
• W1973108246 cites W2504036618 @default.
• W1973108246 cites W2913241240 @default.
• W1973108246 cites W3091814460 @default.
• W1973108246 cites W30944321 @default.
• W1973108246 cites W588153840 @default.
• W1973108246 cites W623252238 @default.
• W1973108246 doi "https://doi.org/10.1007/s10492-008-0038-5" @default.
• W1973108246 hasPublicationYear "2008" @default.
• W1973108246 type Work @default.
• W1973108246 sameAs 1973108246 @default.
• W1973108246 citedByCount "17" @default.
• W1973108246 countsByYear W19731082462012 @default.
• W1973108246 countsByYear W19731082462014 @default.
• W1973108246 countsByYear W19731082462015 @default.
• W1973108246 countsByYear W19731082462016 @default.
• W1973108246 countsByYear W19731082462017 @default.
• W1973108246 countsByYear W19731082462022 @default.
• W1973108246 crossrefType "journal-article" @default.
• W1973108246 hasAuthorship W1973108246A5017446516 @default.
• W1973108246 hasAuthorship W1973108246A5031245511 @default.
• W1973108246 hasBestOaLocation W19731082462 @default.
• W1973108246 hasConcept C111615704 @default.
• W1973108246 hasConcept C121332964 @default.
• W1973108246 hasConcept C134306372 @default.
• W1973108246 hasConcept C149288129 @default.
• W1973108246 hasConcept C158622935 @default.
• W1973108246 hasConcept C182310444 @default.
• W1973108246 hasConcept C182365436 @default.
• W1973108246 hasConcept C2777727622 @default.
• W1973108246 hasConcept C33923547 @default.
• W1973108246 hasConcept C44280652 @default.
• W1973108246 hasConcept C60644358 @default.
• W1973108246 hasConcept C62354387 @default.
• W1973108246 hasConcept C62520636 @default.
• W1973108246 hasConcept C86803240 @default.
• W1973108246 hasConcept C93779851 @default.
• W1973108246 hasConceptScore W1973108246C111615704 @default.
• W1973108246 hasConceptScore W1973108246C121332964 @default.
• W1973108246 hasConceptScore W1973108246C134306372 @default.
• W1973108246 hasConceptScore W1973108246C149288129 @default.
• W1973108246 hasConceptScore W1973108246C158622935 @default.
• W1973108246 hasConceptScore W1973108246C182310444 @default.
• W1973108246 hasConceptScore W1973108246C182365436 @default.
• W1973108246 hasConceptScore W1973108246C2777727622 @default.
• W1973108246 hasConceptScore W1973108246C33923547 @default.
• W1973108246 hasConceptScore W1973108246C44280652 @default.
• W1973108246 hasConceptScore W1973108246C60644358 @default.
• W1973108246 hasConceptScore W1973108246C62354387 @default.
• W1973108246 hasConceptScore W1973108246C62520636 @default.
• W1973108246 hasConceptScore W1973108246C86803240 @default.
• W1973108246 hasConceptScore W1973108246C93779851 @default.
• W1973108246 hasIssue "5" @default.
• W1973108246 hasLocation W19731082461 @default.
• W1973108246 hasLocation W19731082462 @default.
• W1973108246 hasOpenAccess W1973108246 @default.
• W1973108246 hasPrimaryLocation W19731082461 @default.
• W1973108246 hasRelatedWork W1974604747 @default.
• W1973108246 hasRelatedWork W2128760937 @default.
• W1973108246 hasRelatedWork W2129259516 @default.
• W1973108246 hasRelatedWork W2144357239 @default.
• W1973108246 hasRelatedWork W2149641990 @default.
• W1973108246 hasRelatedWork W2381823837 @default.
• W1973108246 hasRelatedWork W2544961282 @default.
• W1973108246 hasRelatedWork W2734963562 @default.
• W1973108246 hasRelatedWork W2754383454 @default.
• W1973108246 hasRelatedWork W3148830930 @default.
• W1973108246 hasVolume "53" @default.
• W1973108246 isParatext "false" @default.
• W1973108246 isRetracted "false" @default.
• W1973108246 magId "1973108246" @default.

• next