Matches in SemOpenAlex for { <https://semopenalex.org/work/W3149727615> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W3149727615 endingPage "63" @default.
- W3149727615 startingPage "24" @default.
- W3149727615 abstract "This paper studies a dissipative heat equation with Delta sources of non-linear strength located on a periodic lattice. The model arises from intracellular waves in continuum excitable media with discrete release sites. Due to the presence of Delta sources, the solution of the model has discontinuous spatial derivatives. We focus on the bistable regime of the model, determined by the decay strength parameter a and the separation distance L between release sites, in which the model admits exactly three L-periodic steady states. We establish the existence of pulsating waves spatially connecting them. For the case of waves connecting two stable L-periodic steady states, the uniqueness and global exponential stability of pulsating waves are shown. Also a new technique is introduced to find the fine structure of the tails of pulsating waves. Cet article étudie une équation dissipative de la chaleur avec des sources Delta de force non linéaire situées sur un treillis périodique. Le modèle provient d'ondes intracellulaires dans des milieux excitables continus avec des sites de libération discrets. En raison de la présence de sources Delta, la solution du modèle a des dérivées spatiales discontinues. Nous nous concentrons sur le régime bistable du modèle, déterminé par le paramètre a de la force de décroissance et la distance de séparation L entre les sites de libération, dans lequel le modèle admet exactement trois états stationnaires stables L-périodiques. Nous établissons l'existence d'ondes pulsatoires les reliant spatialement. Pour le cas des ondes reliant deux états stationnaires stables L-périodiques, l'unicité et la stabilité exponentielle globale des ondes pulsatoires sont montrées. Une nouvelle technique est également introduite pour trouver la structure fine des queues des ondes pulsatoires." @default.
- W3149727615 created "2021-04-13" @default.
- W3149727615 creator A5009213665 @default.
- W3149727615 creator A5024393271 @default.
- W3149727615 creator A5087971771 @default.
- W3149727615 date "2021-06-01" @default.
- W3149727615 modified "2023-10-11" @default.
- W3149727615 title "Pulsating waves in a dissipative medium with Delta sources on a periodic lattice" @default.
- W3149727615 cites W1807287899 @default.
- W3149727615 cites W1972194505 @default.
- W3149727615 cites W1976529930 @default.
- W3149727615 cites W1984765164 @default.
- W3149727615 cites W1988616493 @default.
- W3149727615 cites W1993693726 @default.
- W3149727615 cites W1998077360 @default.
- W3149727615 cites W2004431137 @default.
- W3149727615 cites W2009627395 @default.
- W3149727615 cites W2020718248 @default.
- W3149727615 cites W2022882918 @default.
- W3149727615 cites W2044879434 @default.
- W3149727615 cites W2069799396 @default.
- W3149727615 cites W2070993655 @default.
- W3149727615 cites W2077750599 @default.
- W3149727615 cites W2093169735 @default.
- W3149727615 cites W2123954286 @default.
- W3149727615 cites W2945233143 @default.
- W3149727615 cites W2962826955 @default.
- W3149727615 cites W2962972930 @default.
- W3149727615 cites W2963008940 @default.
- W3149727615 cites W3099313982 @default.
- W3149727615 doi "https://doi.org/10.1016/j.matpur.2021.04.010" @default.
- W3149727615 hasPublicationYear "2021" @default.
- W3149727615 type Work @default.
- W3149727615 sameAs 3149727615 @default.
- W3149727615 citedByCount "1" @default.
- W3149727615 countsByYear W31497276152022 @default.
- W3149727615 crossrefType "journal-article" @default.
- W3149727615 hasAuthorship W3149727615A5009213665 @default.
- W3149727615 hasAuthorship W3149727615A5024393271 @default.
- W3149727615 hasAuthorship W3149727615A5087971771 @default.
- W3149727615 hasBestOaLocation W31497276151 @default.
- W3149727615 hasConcept C121332964 @default.
- W3149727615 hasConcept C134306372 @default.
- W3149727615 hasConcept C24890656 @default.
- W3149727615 hasConcept C2777021972 @default.
- W3149727615 hasConcept C2781204021 @default.
- W3149727615 hasConcept C2988173416 @default.
- W3149727615 hasConcept C33923547 @default.
- W3149727615 hasConcept C37914503 @default.
- W3149727615 hasConcept C62520636 @default.
- W3149727615 hasConcept C97292510 @default.
- W3149727615 hasConcept C97355855 @default.
- W3149727615 hasConcept C99692599 @default.
- W3149727615 hasConceptScore W3149727615C121332964 @default.
- W3149727615 hasConceptScore W3149727615C134306372 @default.
- W3149727615 hasConceptScore W3149727615C24890656 @default.
- W3149727615 hasConceptScore W3149727615C2777021972 @default.
- W3149727615 hasConceptScore W3149727615C2781204021 @default.
- W3149727615 hasConceptScore W3149727615C2988173416 @default.
- W3149727615 hasConceptScore W3149727615C33923547 @default.
- W3149727615 hasConceptScore W3149727615C37914503 @default.
- W3149727615 hasConceptScore W3149727615C62520636 @default.
- W3149727615 hasConceptScore W3149727615C97292510 @default.
- W3149727615 hasConceptScore W3149727615C97355855 @default.
- W3149727615 hasConceptScore W3149727615C99692599 @default.
- W3149727615 hasFunder F4320321001 @default.
- W3149727615 hasFunder F4320322795 @default.
- W3149727615 hasFunder F4320337380 @default.
- W3149727615 hasLocation W31497276151 @default.
- W3149727615 hasOpenAccess W3149727615 @default.
- W3149727615 hasPrimaryLocation W31497276151 @default.
- W3149727615 hasRelatedWork W1969906757 @default.
- W3149727615 hasRelatedWork W1983253895 @default.
- W3149727615 hasRelatedWork W1993601754 @default.
- W3149727615 hasRelatedWork W2041565085 @default.
- W3149727615 hasRelatedWork W2057184725 @default.
- W3149727615 hasRelatedWork W2905345794 @default.
- W3149727615 hasRelatedWork W4290755004 @default.
- W3149727615 hasRelatedWork W4298328014 @default.
- W3149727615 hasRelatedWork W4306159239 @default.
- W3149727615 hasRelatedWork W4361216306 @default.
- W3149727615 hasVolume "150" @default.
- W3149727615 isParatext "false" @default.
- W3149727615 isRetracted "false" @default.
- W3149727615 magId "3149727615" @default.
- W3149727615 workType "article" @default.