Matches in SemOpenAlex for { <https://semopenalex.org/work/W3160046299> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3160046299 endingPage "55" @default.
- W3160046299 startingPage "1" @default.
- W3160046299 abstract "For nonlinear hyperbolic systems of conservation laws in one space variable, we establish the existence of nonclassical entropy solutions exhibiting nonlinear interactions between shock waves with strong strength. The proposed theory is relevant in the theory of phase transition dynamics, and the solutions under consideration enjoy a splitting–merging pattern, consisting of (compressive) classical and (undercompressive) nonclassical waves, interacting together as well as with classical waves of weaker strength. Our analysis is based on three novel ideas. First, a generalization of Hayes–LeFloch’s nonclassical Riemann solver is introduced for systems and is based on prescribing, on one hand, a kinetic relation for the propagation of nonclassical undercompressive shocks and, on the other hand, a nucleation criterion that selects between classical and nonclassical behavior. Second, we extend LeFloch-Shearer’s theorem to systems and we prove that the presence of a nucleation condition implies that only a finite number of splitting and merging cycles can occur. Third, our arguments of nonlinear stability build upon recent work by the last two authors who identified a natural total variation functional for scalar conservation laws and, specifically, for systems of conservation laws we introduce here novel functionals which measure the total variation and wave interaction of nonclassical and classical waves." @default.
- W3160046299 created "2021-05-24" @default.
- W3160046299 creator A5035830456 @default.
- W3160046299 creator A5040822717 @default.
- W3160046299 creator A5079883588 @default.
- W3160046299 date "2022-04-04" @default.
- W3160046299 modified "2023-09-30" @default.
- W3160046299 title "The mathematical theory of splitting-merging patterns in phase transition dynamics" @default.
- W3160046299 cites W1533568430 @default.
- W3160046299 cites W1596823068 @default.
- W3160046299 cites W1611885289 @default.
- W3160046299 cites W1968115728 @default.
- W3160046299 cites W1983430582 @default.
- W3160046299 cites W1984487771 @default.
- W3160046299 cites W1996584940 @default.
- W3160046299 cites W2002544802 @default.
- W3160046299 cites W2008685881 @default.
- W3160046299 cites W2011097024 @default.
- W3160046299 cites W2012153215 @default.
- W3160046299 cites W2017935165 @default.
- W3160046299 cites W2025411653 @default.
- W3160046299 cites W2026388260 @default.
- W3160046299 cites W2039143230 @default.
- W3160046299 cites W2048459778 @default.
- W3160046299 cites W2049025708 @default.
- W3160046299 cites W2051227185 @default.
- W3160046299 cites W2051524346 @default.
- W3160046299 cites W2054815866 @default.
- W3160046299 cites W2064872109 @default.
- W3160046299 cites W2068000676 @default.
- W3160046299 cites W2092435235 @default.
- W3160046299 cites W2095378431 @default.
- W3160046299 cites W2108503507 @default.
- W3160046299 cites W2118653974 @default.
- W3160046299 cites W2136371269 @default.
- W3160046299 cites W2142985546 @default.
- W3160046299 cites W2143752850 @default.
- W3160046299 cites W285505819 @default.
- W3160046299 cites W40395561 @default.
- W3160046299 cites W4238313514 @default.
- W3160046299 cites W4298232918 @default.
- W3160046299 doi "https://doi.org/10.1080/03605302.2022.2053862" @default.
- W3160046299 hasPublicationYear "2022" @default.
- W3160046299 type Work @default.
- W3160046299 sameAs 3160046299 @default.
- W3160046299 citedByCount "0" @default.
- W3160046299 crossrefType "journal-article" @default.
- W3160046299 hasAuthorship W3160046299A5035830456 @default.
- W3160046299 hasAuthorship W3160046299A5040822717 @default.
- W3160046299 hasAuthorship W3160046299A5079883588 @default.
- W3160046299 hasBestOaLocation W31600462993 @default.
- W3160046299 hasConcept C106301342 @default.
- W3160046299 hasConcept C121332964 @default.
- W3160046299 hasConcept C121864883 @default.
- W3160046299 hasConcept C134306372 @default.
- W3160046299 hasConcept C149288129 @default.
- W3160046299 hasConcept C158622935 @default.
- W3160046299 hasConcept C2524010 @default.
- W3160046299 hasConcept C33923547 @default.
- W3160046299 hasConcept C3445786 @default.
- W3160046299 hasConcept C57691317 @default.
- W3160046299 hasConcept C62520636 @default.
- W3160046299 hasConcept C70477161 @default.
- W3160046299 hasConcept C97355855 @default.
- W3160046299 hasConceptScore W3160046299C106301342 @default.
- W3160046299 hasConceptScore W3160046299C121332964 @default.
- W3160046299 hasConceptScore W3160046299C121864883 @default.
- W3160046299 hasConceptScore W3160046299C134306372 @default.
- W3160046299 hasConceptScore W3160046299C149288129 @default.
- W3160046299 hasConceptScore W3160046299C158622935 @default.
- W3160046299 hasConceptScore W3160046299C2524010 @default.
- W3160046299 hasConceptScore W3160046299C33923547 @default.
- W3160046299 hasConceptScore W3160046299C3445786 @default.
- W3160046299 hasConceptScore W3160046299C57691317 @default.
- W3160046299 hasConceptScore W3160046299C62520636 @default.
- W3160046299 hasConceptScore W3160046299C70477161 @default.
- W3160046299 hasConceptScore W3160046299C97355855 @default.
- W3160046299 hasLocation W31600462991 @default.
- W3160046299 hasLocation W31600462992 @default.
- W3160046299 hasLocation W31600462993 @default.
- W3160046299 hasOpenAccess W3160046299 @default.
- W3160046299 hasPrimaryLocation W31600462991 @default.
- W3160046299 hasRelatedWork W1976670772 @default.
- W3160046299 hasRelatedWork W1986908214 @default.
- W3160046299 hasRelatedWork W1992032904 @default.
- W3160046299 hasRelatedWork W2020017862 @default.
- W3160046299 hasRelatedWork W2952202245 @default.
- W3160046299 hasRelatedWork W2974671401 @default.
- W3160046299 hasRelatedWork W3101231847 @default.
- W3160046299 hasRelatedWork W3122294644 @default.
- W3160046299 hasRelatedWork W3146807964 @default.
- W3160046299 hasRelatedWork W115933168 @default.
- W3160046299 isParatext "false" @default.
- W3160046299 isRetracted "false" @default.
- W3160046299 magId "3160046299" @default.
- W3160046299 workType "article" @default.