Matches in SemOpenAlex for { <https://semopenalex.org/work/W2106042282> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2106042282 endingPage "1189" @default.
- W2106042282 startingPage "1164" @default.
- W2106042282 abstract "We consider the Cauchy problem for an $ntimes n$ strictly hyperbolic system of balance laws $u_t+f(u)_x=g(x,u)$, $xinmathbb{R}$, $t>0$, $|g(x,cdot)|_{mathbf{C}^2}leqtilde{M}(x)inmathbf{L}^1$, endowed with the initial data $u(0,.)=u_oinmathbf{L}^1capmathbf{BV}(mathbb{R};mathbb{R}^n)$. Each characteristic field is assumed to be genuinely nonlinear or linearly degenerate and nonresonant with the source, i.e., $|lambda_i(u)|geq c>0$ for all $iin{1,dots,n}$. Assuming that the $mathbf{L}^1$ norms of $|g(x,cdot)|_{mathbf{C}^1}$ and $|u_o|_{mathbf{BV}(mathbb{R})}$ are small enough, we prove the existence and uniqueness of global entropy solutions of bounded total variation extending the result in [D. Amadori, L. Gosse, and G. Guerra, Arch. Ration. Mech. Anal., 162 (2002), pp. 327–366] to unbounded (in $mathbf{L}^infty$) sources. Furthermore, we apply this result to the fluid flow in a pipe with discontinuous cross sectional area, showing existence and uniqueness of the underlying semigroup." @default.
- W2106042282 created "2016-06-24" @default.
- W2106042282 creator A5010070467 @default.
- W2106042282 creator A5061983375 @default.
- W2106042282 creator A5073444556 @default.
- W2106042282 date "2009-01-01" @default.
- W2106042282 modified "2023-09-26" @default.
- W2106042282 title "Balance Laws with Integrable Unbounded Sources" @default.
- W2106042282 cites W1995156763 @default.
- W2106042282 cites W2011669849 @default.
- W2106042282 cites W2017350456 @default.
- W2106042282 cites W2036957513 @default.
- W2106042282 cites W2037295297 @default.
- W2106042282 cites W2039594536 @default.
- W2106042282 cites W2044381590 @default.
- W2106042282 cites W2079698788 @default.
- W2106042282 cites W25233684 @default.
- W2106042282 doi "https://doi.org/10.1137/080735436" @default.
- W2106042282 hasPublicationYear "2009" @default.
- W2106042282 type Work @default.
- W2106042282 sameAs 2106042282 @default.
- W2106042282 citedByCount "19" @default.
- W2106042282 countsByYear W21060422822013 @default.
- W2106042282 countsByYear W21060422822014 @default.
- W2106042282 countsByYear W21060422822015 @default.
- W2106042282 countsByYear W21060422822016 @default.
- W2106042282 countsByYear W21060422822017 @default.
- W2106042282 countsByYear W21060422822022 @default.
- W2106042282 countsByYear W21060422822023 @default.
- W2106042282 crossrefType "journal-article" @default.
- W2106042282 hasAuthorship W2106042282A5010070467 @default.
- W2106042282 hasAuthorship W2106042282A5061983375 @default.
- W2106042282 hasAuthorship W2106042282A5073444556 @default.
- W2106042282 hasBestOaLocation W21060422822 @default.
- W2106042282 hasConcept C114614502 @default.
- W2106042282 hasConcept C121332964 @default.
- W2106042282 hasConcept C134306372 @default.
- W2106042282 hasConcept C207405024 @default.
- W2106042282 hasConcept C2777021972 @default.
- W2106042282 hasConcept C33923547 @default.
- W2106042282 hasConcept C34388435 @default.
- W2106042282 hasConcept C37914503 @default.
- W2106042282 hasConceptScore W2106042282C114614502 @default.
- W2106042282 hasConceptScore W2106042282C121332964 @default.
- W2106042282 hasConceptScore W2106042282C134306372 @default.
- W2106042282 hasConceptScore W2106042282C207405024 @default.
- W2106042282 hasConceptScore W2106042282C2777021972 @default.
- W2106042282 hasConceptScore W2106042282C33923547 @default.
- W2106042282 hasConceptScore W2106042282C34388435 @default.
- W2106042282 hasConceptScore W2106042282C37914503 @default.
- W2106042282 hasIssue "3" @default.
- W2106042282 hasLocation W21060422821 @default.
- W2106042282 hasLocation W21060422822 @default.
- W2106042282 hasLocation W21060422823 @default.
- W2106042282 hasLocation W21060422824 @default.
- W2106042282 hasOpenAccess W2106042282 @default.
- W2106042282 hasPrimaryLocation W21060422821 @default.
- W2106042282 hasRelatedWork W1978558849 @default.
- W2106042282 hasRelatedWork W2022394700 @default.
- W2106042282 hasRelatedWork W2064402345 @default.
- W2106042282 hasRelatedWork W2098586728 @default.
- W2106042282 hasRelatedWork W2159417485 @default.
- W2106042282 hasRelatedWork W2393163987 @default.
- W2106042282 hasRelatedWork W2810663125 @default.
- W2106042282 hasRelatedWork W3161443230 @default.
- W2106042282 hasRelatedWork W4226101702 @default.
- W2106042282 hasRelatedWork W4281758253 @default.
- W2106042282 hasVolume "41" @default.
- W2106042282 isParatext "false" @default.
- W2106042282 isRetracted "false" @default.
- W2106042282 magId "2106042282" @default.
- W2106042282 workType "article" @default.