Matches in SemOpenAlex for { <https://semopenalex.org/work/W2997776366> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2997776366 endingPage "1323" @default.
- W2997776366 startingPage "1271" @default.
- W2997776366 abstract "We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent constitutive relation generalizes that for compressible neo-Hookean materials. Thermoelastic contact discontinuities are characteristic discontinuities for which the velocity is continuous across the discontinuity interface. Mathematically, this renders a nonlinear multidimensional hyperbolic problem with a characteristic free boundary. We identify a stability condition on the piecewise constant background states and establish the linear stability of thermoelastic contact discontinuities in the sense that the variable coefficient linearized problem satisfies a priori tame estimates in the usual Sobolev spaces under small perturbations. Our tame estimates for the linearized problem do not break down when the strength of thermoelastic contact discontinuities tends to zero. The missing normal derivatives are recovered from the estimates of several quantities relating to physical involutions. In the estimate of tangential derivatives, there is a significant new difficulty, namely the presence of characteristic variables in the boundary conditions. To overcome this difficulty, we explore an intrinsic cancellation effect, which reduces the boundary terms to an instant integral. Then we can absorb the instant integral into the instant tangential energy by means of the interpolation argument and an explicit estimate for the traces on the hyperplane." @default.
- W2997776366 created "2020-01-10" @default.
- W2997776366 creator A5018452636 @default.
- W2997776366 creator A5026251579 @default.
- W2997776366 creator A5040063276 @default.
- W2997776366 date "2020-05-22" @default.
- W2997776366 modified "2023-10-15" @default.
- W2997776366 title "Stability of Multidimensional Thermoelastic Contact Discontinuities" @default.
- W2997776366 cites W1584097495 @default.
- W2997776366 cites W1974200795 @default.
- W2997776366 cites W2019795562 @default.
- W2997776366 cites W2026855422 @default.
- W2997776366 cites W2030437981 @default.
- W2997776366 cites W2035422267 @default.
- W2997776366 cites W2050928998 @default.
- W2997776366 cites W2053969761 @default.
- W2997776366 cites W2122398073 @default.
- W2997776366 cites W2328803698 @default.
- W2997776366 cites W2492935564 @default.
- W2997776366 cites W2496798208 @default.
- W2997776366 cites W2502127214 @default.
- W2997776366 cites W2506053971 @default.
- W2997776366 cites W2526275913 @default.
- W2997776366 cites W2767426402 @default.
- W2997776366 cites W2801689528 @default.
- W2997776366 cites W2962743215 @default.
- W2997776366 cites W2962889108 @default.
- W2997776366 cites W2963360846 @default.
- W2997776366 cites W2963565076 @default.
- W2997776366 cites W2970190845 @default.
- W2997776366 cites W3101372316 @default.
- W2997776366 cites W4231817347 @default.
- W2997776366 cites W4238313514 @default.
- W2997776366 cites W4253538687 @default.
- W2997776366 cites W574578250 @default.
- W2997776366 cites W1518382751 @default.
- W2997776366 doi "https://doi.org/10.1007/s00205-020-01531-5" @default.
- W2997776366 hasPublicationYear "2020" @default.
- W2997776366 type Work @default.
- W2997776366 sameAs 2997776366 @default.
- W2997776366 citedByCount "8" @default.
- W2997776366 countsByYear W29977763662021 @default.
- W2997776366 countsByYear W29977763662022 @default.
- W2997776366 countsByYear W29977763662023 @default.
- W2997776366 crossrefType "journal-article" @default.
- W2997776366 hasAuthorship W2997776366A5018452636 @default.
- W2997776366 hasAuthorship W2997776366A5026251579 @default.
- W2997776366 hasAuthorship W2997776366A5040063276 @default.
- W2997776366 hasBestOaLocation W29977763662 @default.
- W2997776366 hasConcept C121332964 @default.
- W2997776366 hasConcept C134306372 @default.
- W2997776366 hasConcept C153294291 @default.
- W2997776366 hasConcept C15627037 @default.
- W2997776366 hasConcept C164660894 @default.
- W2997776366 hasConcept C204530211 @default.
- W2997776366 hasConcept C2777042112 @default.
- W2997776366 hasConcept C33923547 @default.
- W2997776366 hasConcept C62354387 @default.
- W2997776366 hasConcept C92458943 @default.
- W2997776366 hasConcept C99730327 @default.
- W2997776366 hasConceptScore W2997776366C121332964 @default.
- W2997776366 hasConceptScore W2997776366C134306372 @default.
- W2997776366 hasConceptScore W2997776366C153294291 @default.
- W2997776366 hasConceptScore W2997776366C15627037 @default.
- W2997776366 hasConceptScore W2997776366C164660894 @default.
- W2997776366 hasConceptScore W2997776366C204530211 @default.
- W2997776366 hasConceptScore W2997776366C2777042112 @default.
- W2997776366 hasConceptScore W2997776366C33923547 @default.
- W2997776366 hasConceptScore W2997776366C62354387 @default.
- W2997776366 hasConceptScore W2997776366C92458943 @default.
- W2997776366 hasConceptScore W2997776366C99730327 @default.
- W2997776366 hasFunder F4320321001 @default.
- W2997776366 hasFunder F4320321873 @default.
- W2997776366 hasFunder F4320334627 @default.
- W2997776366 hasIssue "3" @default.
- W2997776366 hasLocation W29977763661 @default.
- W2997776366 hasLocation W29977763662 @default.
- W2997776366 hasLocation W29977763663 @default.
- W2997776366 hasOpenAccess W2997776366 @default.
- W2997776366 hasPrimaryLocation W29977763661 @default.
- W2997776366 hasRelatedWork W1972469067 @default.
- W2997776366 hasRelatedWork W2015288940 @default.
- W2997776366 hasRelatedWork W2088500753 @default.
- W2997776366 hasRelatedWork W2128562764 @default.
- W2997776366 hasRelatedWork W2384102097 @default.
- W2997776366 hasRelatedWork W2430038120 @default.
- W2997776366 hasRelatedWork W2950352513 @default.
- W2997776366 hasRelatedWork W2953303953 @default.
- W2997776366 hasRelatedWork W752408711 @default.
- W2997776366 hasRelatedWork W2520424713 @default.
- W2997776366 hasVolume "237" @default.
- W2997776366 isParatext "false" @default.
- W2997776366 isRetracted "false" @default.
- W2997776366 magId "2997776366" @default.
- W2997776366 workType "article" @default.