Matches in SemOpenAlex for { <https://semopenalex.org/work/W3125408826> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W3125408826 abstract "This paper studies initial value problems that arise from models for one-dimensional heat flow (with finite wave speeds) in materials with memory. Under assumptions that ensure compatibility of the constitutive relations with the second law of thermodynamics, the resulting integrodifierential equation is hyperbolic near equilibrium. The existence of unique, globally (in time) defined, classical solutions to the problems under consideration is established, provided the data are smooth and sufficiently close to equilibrium. Both Dirichlet and Neumann boundary conditions are treated, as well as the problem on the entire real line.Local existence is proved using a contraction-mapping argument which involves estimates for linear hyperbolic partial differential equations with variable coefficients. Global existence is obtained by deriving a priori energy estimates. These estimates are based on inequalities for strongly positive Volterra kernels (including a new inequality that is needed due to the form of the c..." @default.
- W3125408826 created "2021-02-01" @default.
- W3125408826 creator A5082204716 @default.
- W3125408826 date "1989-06-01" @default.
- W3125408826 modified "2023-09-23" @default.
- W3125408826 title "Global existence and asymptotic stability for a nonlinear integrodifferential equation modeling heat flow" @default.
- W3125408826 hasPublicationYear "1989" @default.
- W3125408826 type Work @default.
- W3125408826 sameAs 3125408826 @default.
- W3125408826 citedByCount "0" @default.
- W3125408826 crossrefType "journal-article" @default.
- W3125408826 hasAuthorship W3125408826A5082204716 @default.
- W3125408826 hasConcept C111472728 @default.
- W3125408826 hasConcept C111615704 @default.
- W3125408826 hasConcept C121332964 @default.
- W3125408826 hasConcept C134306372 @default.
- W3125408826 hasConcept C138885662 @default.
- W3125408826 hasConcept C158622935 @default.
- W3125408826 hasConcept C182310444 @default.
- W3125408826 hasConcept C28826006 @default.
- W3125408826 hasConcept C33923547 @default.
- W3125408826 hasConcept C62520636 @default.
- W3125408826 hasConcept C75553542 @default.
- W3125408826 hasConcept C93779851 @default.
- W3125408826 hasConceptScore W3125408826C111472728 @default.
- W3125408826 hasConceptScore W3125408826C111615704 @default.
- W3125408826 hasConceptScore W3125408826C121332964 @default.
- W3125408826 hasConceptScore W3125408826C134306372 @default.
- W3125408826 hasConceptScore W3125408826C138885662 @default.
- W3125408826 hasConceptScore W3125408826C158622935 @default.
- W3125408826 hasConceptScore W3125408826C182310444 @default.
- W3125408826 hasConceptScore W3125408826C28826006 @default.
- W3125408826 hasConceptScore W3125408826C33923547 @default.
- W3125408826 hasConceptScore W3125408826C62520636 @default.
- W3125408826 hasConceptScore W3125408826C75553542 @default.
- W3125408826 hasConceptScore W3125408826C93779851 @default.
- W3125408826 hasLocation W31254088261 @default.
- W3125408826 hasOpenAccess W3125408826 @default.
- W3125408826 hasPrimaryLocation W31254088261 @default.
- W3125408826 hasRelatedWork W1502139561 @default.
- W3125408826 hasRelatedWork W1551448229 @default.
- W3125408826 hasRelatedWork W1594751264 @default.
- W3125408826 hasRelatedWork W1984416875 @default.
- W3125408826 hasRelatedWork W2012064662 @default.
- W3125408826 hasRelatedWork W2015600098 @default.
- W3125408826 hasRelatedWork W2018408775 @default.
- W3125408826 hasRelatedWork W2049648727 @default.
- W3125408826 hasRelatedWork W2060143170 @default.
- W3125408826 hasRelatedWork W2104599871 @default.
- W3125408826 hasRelatedWork W2193960006 @default.
- W3125408826 hasRelatedWork W2783975007 @default.
- W3125408826 hasRelatedWork W2807444602 @default.
- W3125408826 hasRelatedWork W2809756657 @default.
- W3125408826 hasRelatedWork W2997156442 @default.
- W3125408826 hasRelatedWork W3011984039 @default.
- W3125408826 hasRelatedWork W3025776791 @default.
- W3125408826 hasRelatedWork W3134823311 @default.
- W3125408826 hasRelatedWork W3194849211 @default.
- W3125408826 hasRelatedWork W68293666 @default.
- W3125408826 isParatext "false" @default.
- W3125408826 isRetracted "false" @default.
- W3125408826 magId "3125408826" @default.
- W3125408826 workType "article" @default.