Matches in SemOpenAlex for { <https://semopenalex.org/work/W2385469297> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W2385469297 abstract "On a rectangular domain R(δ)={0≤t≤δ, 0≤x≤1}. (1) We consider the second initial-boundary value problem for the quasi-linear hyperbolicparabolic coupled systemWithout loss of generality, the initial conditions may be written as t=0: u_j=0,(j=1,…, n),v=0, and we can suppose thatThe boundary conditions are as follows: We assume that the following conditions are satisfied: (1)the orientabihty condition (2)the compatibility condition(3)the condition of characterizing number(4)The smoothness condition:the coefficients of the system and the boundary conditions are suitably smooth.By means of certain a priori estimations for the solution of the heat equation and the linear hyperbolic system, using an iteration method and Leray-Schauder fixed point theorem, we have provedTheorem 1. Under the preceding hypotheses, for the second initial-boundary value problem (2)—(4),(6),(7),there exists uniquely a classical solution on R(δ) where δ0 is suitably small.Theorem 2. In theorem 1, the condition of characterizing number(13) may be ameliorated as the following solvable condition: L.e., the boundary conditions(6),(7) may be written as" @default.
- W2385469297 created "2016-06-24" @default.
- W2385469297 creator A5002509297 @default.
- W2385469297 creator A5011206845 @default.
- W2385469297 creator A5050650209 @default.
- W2385469297 date "1981-01-01" @default.
- W2385469297 modified "2023-09-25" @default.
- W2385469297 title "SECOND INITIAL-BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR HYPERBOLIC-PARABOLIC COUPLED SYSTEMS" @default.
- W2385469297 hasPublicationYear "1981" @default.
- W2385469297 type Work @default.
- W2385469297 sameAs 2385469297 @default.
- W2385469297 citedByCount "0" @default.
- W2385469297 crossrefType "journal-article" @default.
- W2385469297 hasAuthorship W2385469297A5002509297 @default.
- W2385469297 hasAuthorship W2385469297A5011206845 @default.
- W2385469297 hasAuthorship W2385469297A5050650209 @default.
- W2385469297 hasConcept C106947605 @default.
- W2385469297 hasConcept C108257041 @default.
- W2385469297 hasConcept C134306372 @default.
- W2385469297 hasConcept C182310444 @default.
- W2385469297 hasConcept C26955809 @default.
- W2385469297 hasConcept C33923547 @default.
- W2385469297 hasConcept C36503486 @default.
- W2385469297 hasConcept C42045870 @default.
- W2385469297 hasConcept C45962547 @default.
- W2385469297 hasConceptScore W2385469297C106947605 @default.
- W2385469297 hasConceptScore W2385469297C108257041 @default.
- W2385469297 hasConceptScore W2385469297C134306372 @default.
- W2385469297 hasConceptScore W2385469297C182310444 @default.
- W2385469297 hasConceptScore W2385469297C26955809 @default.
- W2385469297 hasConceptScore W2385469297C33923547 @default.
- W2385469297 hasConceptScore W2385469297C36503486 @default.
- W2385469297 hasConceptScore W2385469297C42045870 @default.
- W2385469297 hasConceptScore W2385469297C45962547 @default.
- W2385469297 hasLocation W23854692971 @default.
- W2385469297 hasOpenAccess W2385469297 @default.
- W2385469297 hasPrimaryLocation W23854692971 @default.
- W2385469297 hasRelatedWork W1044879440 @default.
- W2385469297 hasRelatedWork W144219641 @default.
- W2385469297 hasRelatedWork W1591396867 @default.
- W2385469297 hasRelatedWork W180376609 @default.
- W2385469297 hasRelatedWork W1997095770 @default.
- W2385469297 hasRelatedWork W2018345820 @default.
- W2385469297 hasRelatedWork W2026948555 @default.
- W2385469297 hasRelatedWork W2037308367 @default.
- W2385469297 hasRelatedWork W2061507785 @default.
- W2385469297 hasRelatedWork W2074255250 @default.
- W2385469297 hasRelatedWork W2085911033 @default.
- W2385469297 hasRelatedWork W2142143446 @default.
- W2385469297 hasRelatedWork W2149356917 @default.
- W2385469297 hasRelatedWork W2346228158 @default.
- W2385469297 hasRelatedWork W2516022756 @default.
- W2385469297 hasRelatedWork W2577640331 @default.
- W2385469297 hasRelatedWork W28965175 @default.
- W2385469297 hasRelatedWork W3089814011 @default.
- W2385469297 hasRelatedWork W3105054005 @default.
- W2385469297 hasRelatedWork W1981184569 @default.
- W2385469297 isParatext "false" @default.
- W2385469297 isRetracted "false" @default.
- W2385469297 magId "2385469297" @default.
- W2385469297 workType "article" @default.