Matches in SemOpenAlex for { <https://semopenalex.org/work/W2312485514> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2312485514 endingPage "202" @default.
- W2312485514 startingPage "183" @default.
- W2312485514 abstract "Synopsis Semilinear parabolic equations of the form u 1 = ∇ 2 u + δf(u) , where f is positive and is finite, are known to exhibit the phenomenon of blow-up, i.e. for sufficiently large S, u becomes infinite after a finite time t* . We consider one-dimensional problems in the semi-infinite region x >0 and find the time to blow-up (t*). Also, the limiting behaviour of u as t→t*- and x→∞ is determined; in particular, it is seen that u blows up at infinity, i.e. for any given finite x, u is bounded as t→t* . The results are extended to problems with convection. The modified equation xu, = u xx +f(u) is discussed. This shows the possibility of blow-up at x =0 even if u(0, f) = 0. The manner of blow-up is estimated. Finally, bounds on the time to blow-up for problems in finite regions are obtained by comparing u with upper and lower solutions." @default.
- W2312485514 created "2016-06-24" @default.
- W2312485514 creator A5089741962 @default.
- W2312485514 date "1984-01-01" @default.
- W2312485514 modified "2023-10-02" @default.
- W2312485514 title "The form of blow-up for nonlinear parabolic equations" @default.
- W2312485514 cites W1965316768 @default.
- W2312485514 cites W1994948734 @default.
- W2312485514 cites W2005864499 @default.
- W2312485514 cites W2011404991 @default.
- W2312485514 cites W2018264184 @default.
- W2312485514 cites W2023923676 @default.
- W2312485514 cites W2054405175 @default.
- W2312485514 cites W2082740141 @default.
- W2312485514 cites W2092076175 @default.
- W2312485514 cites W2139469908 @default.
- W2312485514 doi "https://doi.org/10.1017/s0308210500025609" @default.
- W2312485514 hasPublicationYear "1984" @default.
- W2312485514 type Work @default.
- W2312485514 sameAs 2312485514 @default.
- W2312485514 citedByCount "52" @default.
- W2312485514 countsByYear W23124855142012 @default.
- W2312485514 countsByYear W23124855142014 @default.
- W2312485514 countsByYear W23124855142015 @default.
- W2312485514 countsByYear W23124855142017 @default.
- W2312485514 countsByYear W23124855142018 @default.
- W2312485514 countsByYear W23124855142019 @default.
- W2312485514 countsByYear W23124855142020 @default.
- W2312485514 countsByYear W23124855142021 @default.
- W2312485514 countsByYear W23124855142022 @default.
- W2312485514 countsByYear W23124855142023 @default.
- W2312485514 crossrefType "journal-article" @default.
- W2312485514 hasAuthorship W2312485514A5089741962 @default.
- W2312485514 hasConcept C121332964 @default.
- W2312485514 hasConcept C127413603 @default.
- W2312485514 hasConcept C134306372 @default.
- W2312485514 hasConcept C158622935 @default.
- W2312485514 hasConcept C186867907 @default.
- W2312485514 hasConcept C188198153 @default.
- W2312485514 hasConcept C33923547 @default.
- W2312485514 hasConcept C34388435 @default.
- W2312485514 hasConcept C37914503 @default.
- W2312485514 hasConcept C62520636 @default.
- W2312485514 hasConcept C7321624 @default.
- W2312485514 hasConcept C78519656 @default.
- W2312485514 hasConcept C93779851 @default.
- W2312485514 hasConceptScore W2312485514C121332964 @default.
- W2312485514 hasConceptScore W2312485514C127413603 @default.
- W2312485514 hasConceptScore W2312485514C134306372 @default.
- W2312485514 hasConceptScore W2312485514C158622935 @default.
- W2312485514 hasConceptScore W2312485514C186867907 @default.
- W2312485514 hasConceptScore W2312485514C188198153 @default.
- W2312485514 hasConceptScore W2312485514C33923547 @default.
- W2312485514 hasConceptScore W2312485514C34388435 @default.
- W2312485514 hasConceptScore W2312485514C37914503 @default.
- W2312485514 hasConceptScore W2312485514C62520636 @default.
- W2312485514 hasConceptScore W2312485514C7321624 @default.
- W2312485514 hasConceptScore W2312485514C78519656 @default.
- W2312485514 hasConceptScore W2312485514C93779851 @default.
- W2312485514 hasIssue "1-2" @default.
- W2312485514 hasLocation W23124855141 @default.
- W2312485514 hasOpenAccess W2312485514 @default.
- W2312485514 hasPrimaryLocation W23124855141 @default.
- W2312485514 hasRelatedWork W130538754 @default.
- W2312485514 hasRelatedWork W1578067006 @default.
- W2312485514 hasRelatedWork W1900765646 @default.
- W2312485514 hasRelatedWork W1985821592 @default.
- W2312485514 hasRelatedWork W2007609449 @default.
- W2312485514 hasRelatedWork W2057128592 @default.
- W2312485514 hasRelatedWork W3100688885 @default.
- W2312485514 hasRelatedWork W4221088552 @default.
- W2312485514 hasRelatedWork W4504821 @default.
- W2312485514 hasRelatedWork W947066235 @default.
- W2312485514 hasVolume "98" @default.
- W2312485514 isParatext "false" @default.
- W2312485514 isRetracted "false" @default.
- W2312485514 magId "2312485514" @default.
- W2312485514 workType "article" @default.