FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952200370> ?p ?o ?g. }

• W2952200370 abstract "We analyze a class of weakly differentiable vector fields (FF colon rn to rn) with the property that (FFin L^{infty}) and (div FF) is a Radon measure. The primary focus of our investigation is to introduce a suitable notion of the normal trace of any divergence-measure field $FF$ over the boundary of an arbitrary set of finite perimeter, which ensures the validity of the Gauss-Green theorem. To achieve this, we establish a fundamental approximation theorem which states that, given a Radon measure $mu$ that is absolutely continuous with respect to $mathcal{H}^{N-1}$ on $rn$, any set of finite perimeter can be approximated by a family of sets with smooth boundary essentially from the measure-theoretic interior of the set with respect to the measure $|mu|$. With this approximation theorem, we derive the normal trace of $FF$ on the boundary of any set of finite perimeter, (E), as the limit of the normal traces of $FF$ on the boundaries of the approximate sets with smooth boundary, so that the Gauss-Green theorem for $FF$ holds on (E). With these results, we analyze the Cauchy fluxes that are bounded by a Radon measure over any oriented surface (i.e. an $(N-1)$-dimensional surface that is a part of the boundary of a set of finite perimeter) and thereby develop a general mathematical formulation of the physical principle of balance law through the Cauchy flux. Finally, we apply this framework to the derivation of systems of balance laws with measure-valued source terms from the formulation of balance law. This framework also allows the recovery of Cauchy entropy fluxes through the Lax entropy inequality for entropy solutions of hyperbolic conservation laws." @default.
• W2952200370 created "2019-06-27" @default.
• W2952200370 creator A5036308461 @default.
• W2952200370 creator A5044253170 @default.
• W2952200370 creator A5083069751 @default.
• W2952200370 date "2007-09-24" @default.
• W2952200370 modified "2023-09-26" @default.
• W2952200370 title "Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws" @default.
• W2952200370 cites W108334485 @default.
• W2952200370 cites W1521532944 @default.
• W2952200370 cites W1522382323 @default.
• W2952200370 cites W1551824740 @default.
• W2952200370 cites W1584610719 @default.
• W2952200370 cites W1593038947 @default.
• W2952200370 cites W1603289878 @default.
• W2952200370 cites W1964840001 @default.
• W2952200370 cites W1966310867 @default.
• W2952200370 cites W1971330797 @default.
• W2952200370 cites W1971689953 @default.
• W2952200370 cites W1980805198 @default.
• W2952200370 cites W1982037082 @default.
• W2952200370 cites W1983402014 @default.
• W2952200370 cites W1983726689 @default.
• W2952200370 cites W1985637508 @default.
• W2952200370 cites W1990909913 @default.
• W2952200370 cites W1992755072 @default.
• W2952200370 cites W1998462627 @default.
• W2952200370 cites W2003758830 @default.
• W2952200370 cites W2004988685 @default.
• W2952200370 cites W2007823222 @default.
• W2952200370 cites W2013834011 @default.
• W2952200370 cites W2028258142 @default.
• W2952200370 cites W2030959904 @default.
• W2952200370 cites W2033937190 @default.
• W2952200370 cites W2039085253 @default.
• W2952200370 cites W2045452373 @default.
• W2952200370 cites W2046940040 @default.
• W2952200370 cites W2047305632 @default.
• W2952200370 cites W2048919726 @default.
• W2952200370 cites W2049266244 @default.
• W2952200370 cites W2064586243 @default.
• W2952200370 cites W2068539633 @default.
• W2952200370 cites W2090421040 @default.
• W2952200370 cites W2093313610 @default.
• W2952200370 cites W2095343433 @default.
• W2952200370 cites W2130606990 @default.
• W2952200370 cites W2141603040 @default.
• W2952200370 cites W2283157636 @default.
• W2952200370 cites W2595348797 @default.
• W2952200370 cites W2728109540 @default.
• W2952200370 cites W3149667697 @default.
• W2952200370 cites W595672592 @default.
• W2952200370 cites W654158011 @default.
• W2952200370 cites W747080530 @default.
• W2952200370 cites W749174401 @default.
• W2952200370 hasPublicationYear "2007" @default.
• W2952200370 type Work @default.
• W2952200370 sameAs 2952200370 @default.
• W2952200370 citedByCount "0" @default.
• W2952200370 crossrefType "posted-content" @default.
• W2952200370 hasAuthorship W2952200370A5036308461 @default.
• W2952200370 hasAuthorship W2952200370A5044253170 @default.
• W2952200370 hasAuthorship W2952200370A5083069751 @default.
• W2952200370 hasConcept C134306372 @default.
• W2952200370 hasConcept C137891326 @default.
• W2952200370 hasConcept C16030659 @default.
• W2952200370 hasConcept C174676996 @default.
• W2952200370 hasConcept C202444582 @default.
• W2952200370 hasConcept C202615002 @default.
• W2952200370 hasConcept C206929604 @default.
• W2952200370 hasConcept C2780009758 @default.
• W2952200370 hasConcept C31498916 @default.
• W2952200370 hasConcept C33923547 @default.
• W2952200370 hasConcept C34388435 @default.
• W2952200370 hasConcept C41008148 @default.
• W2952200370 hasConcept C45962547 @default.
• W2952200370 hasConcept C48540410 @default.
• W2952200370 hasConcept C49344536 @default.
• W2952200370 hasConcept C62354387 @default.
• W2952200370 hasConcept C77088390 @default.
• W2952200370 hasConceptScore W2952200370C134306372 @default.
• W2952200370 hasConceptScore W2952200370C137891326 @default.
• W2952200370 hasConceptScore W2952200370C16030659 @default.
• W2952200370 hasConceptScore W2952200370C174676996 @default.
• W2952200370 hasConceptScore W2952200370C202444582 @default.
• W2952200370 hasConceptScore W2952200370C202615002 @default.
• W2952200370 hasConceptScore W2952200370C206929604 @default.
• W2952200370 hasConceptScore W2952200370C2780009758 @default.
• W2952200370 hasConceptScore W2952200370C31498916 @default.
• W2952200370 hasConceptScore W2952200370C33923547 @default.
• W2952200370 hasConceptScore W2952200370C34388435 @default.
• W2952200370 hasConceptScore W2952200370C41008148 @default.
• W2952200370 hasConceptScore W2952200370C45962547 @default.
• W2952200370 hasConceptScore W2952200370C48540410 @default.
• W2952200370 hasConceptScore W2952200370C49344536 @default.
• W2952200370 hasConceptScore W2952200370C62354387 @default.
• W2952200370 hasConceptScore W2952200370C77088390 @default.
• W2952200370 hasOpenAccess W2952200370 @default.
• W2952200370 hasRelatedWork W139961214 @default.
• W2952200370 hasRelatedWork W1514929123 @default.

• next