Matches in SemOpenAlex for { <https://semopenalex.org/work/W3216431596> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W3216431596 abstract "We analyze semilinear reaction-diffusion systems that are mass controlled, and have nonlinearities that satisfy critical growth rates. The systems under consideration are only assumed to satisfy natural assumptions, namely the preservation of non-negativity and a control of the total mass. It is proved in dimension one that if nonlinearities have (slightly super-) cubic growth rates then the system has a unique global classical solutions. Moreover, in the case of mass dissipation, the solution is bounded uniformly in time in sup-norm. One key idea in the proof is the Holder continuity of gradient of solutions to parabolic equation with possibly discontinuous diffusion coefficients and low regular forcing terms. When the system possesses additionally an entropy inequality, the global existence and boundedness of a unique classical solution is shown for nonlinearities satisfying a cubic intermediate sum condition, which is a significant generalization of cubic growth rates. The main idea in this case is to combine a modified Gagliardo-Nirenberg inequality and the newly developed $L^p$-energy method in cite{morgan2021global,fitzgibbon2021reaction}. This idea also allows us to deal with the case of discontinuous diffusion coefficients in higher dimensions, which has blue{only recently been touched} in the context of mass controlled reaction-diffusion systems." @default.
- W3216431596 created "2021-12-06" @default.
- W3216431596 creator A5004441811 @default.
- W3216431596 creator A5040748659 @default.
- W3216431596 creator A5054758054 @default.
- W3216431596 date "2021-11-29" @default.
- W3216431596 modified "2023-09-25" @default.
- W3216431596 title "Analysis of mass controlled reaction-diffusion systems with nonlinearities having critical growth rates" @default.
- W3216431596 cites W1968834064 @default.
- W3216431596 cites W1998454639 @default.
- W3216431596 cites W2006648981 @default.
- W3216431596 cites W2007136636 @default.
- W3216431596 cites W2018205544 @default.
- W3216431596 cites W2035977906 @default.
- W3216431596 cites W2072685235 @default.
- W3216431596 cites W2092727170 @default.
- W3216431596 cites W2491506190 @default.
- W3216431596 cites W2515579525 @default.
- W3216431596 cites W2578566096 @default.
- W3216431596 cites W2962779098 @default.
- W3216431596 cites W2963255825 @default.
- W3216431596 cites W2963996531 @default.
- W3216431596 cites W2966670425 @default.
- W3216431596 cites W2977802473 @default.
- W3216431596 cites W3017384384 @default.
- W3216431596 cites W3121908345 @default.
- W3216431596 cites W3122701619 @default.
- W3216431596 doi "https://doi.org/10.48550/arxiv.2111.14529" @default.
- W3216431596 hasPublicationYear "2021" @default.
- W3216431596 type Work @default.
- W3216431596 sameAs 3216431596 @default.
- W3216431596 citedByCount "0" @default.
- W3216431596 crossrefType "posted-content" @default.
- W3216431596 hasAuthorship W3216431596A5004441811 @default.
- W3216431596 hasAuthorship W3216431596A5040748659 @default.
- W3216431596 hasAuthorship W3216431596A5054758054 @default.
- W3216431596 hasBestOaLocation W32164315961 @default.
- W3216431596 hasConcept C121231716 @default.
- W3216431596 hasConcept C121332964 @default.
- W3216431596 hasConcept C134306372 @default.
- W3216431596 hasConcept C135402231 @default.
- W3216431596 hasConcept C151730666 @default.
- W3216431596 hasConcept C17744445 @default.
- W3216431596 hasConcept C191795146 @default.
- W3216431596 hasConcept C199539241 @default.
- W3216431596 hasConcept C202444582 @default.
- W3216431596 hasConcept C2779343474 @default.
- W3216431596 hasConcept C28826006 @default.
- W3216431596 hasConcept C33676613 @default.
- W3216431596 hasConcept C33923547 @default.
- W3216431596 hasConcept C34388435 @default.
- W3216431596 hasConcept C69357855 @default.
- W3216431596 hasConcept C86803240 @default.
- W3216431596 hasConcept C97355855 @default.
- W3216431596 hasConcept C99692599 @default.
- W3216431596 hasConceptScore W3216431596C121231716 @default.
- W3216431596 hasConceptScore W3216431596C121332964 @default.
- W3216431596 hasConceptScore W3216431596C134306372 @default.
- W3216431596 hasConceptScore W3216431596C135402231 @default.
- W3216431596 hasConceptScore W3216431596C151730666 @default.
- W3216431596 hasConceptScore W3216431596C17744445 @default.
- W3216431596 hasConceptScore W3216431596C191795146 @default.
- W3216431596 hasConceptScore W3216431596C199539241 @default.
- W3216431596 hasConceptScore W3216431596C202444582 @default.
- W3216431596 hasConceptScore W3216431596C2779343474 @default.
- W3216431596 hasConceptScore W3216431596C28826006 @default.
- W3216431596 hasConceptScore W3216431596C33676613 @default.
- W3216431596 hasConceptScore W3216431596C33923547 @default.
- W3216431596 hasConceptScore W3216431596C34388435 @default.
- W3216431596 hasConceptScore W3216431596C69357855 @default.
- W3216431596 hasConceptScore W3216431596C86803240 @default.
- W3216431596 hasConceptScore W3216431596C97355855 @default.
- W3216431596 hasConceptScore W3216431596C99692599 @default.
- W3216431596 hasLocation W32164315961 @default.
- W3216431596 hasOpenAccess W3216431596 @default.
- W3216431596 hasPrimaryLocation W32164315961 @default.
- W3216431596 hasRelatedWork W1979765548 @default.
- W3216431596 hasRelatedWork W1984357102 @default.
- W3216431596 hasRelatedWork W2066249546 @default.
- W3216431596 hasRelatedWork W2106308758 @default.
- W3216431596 hasRelatedWork W2122491553 @default.
- W3216431596 hasRelatedWork W2224648581 @default.
- W3216431596 hasRelatedWork W2950513846 @default.
- W3216431596 hasRelatedWork W3186258118 @default.
- W3216431596 hasRelatedWork W3197638872 @default.
- W3216431596 hasRelatedWork W49677319 @default.
- W3216431596 isParatext "false" @default.
- W3216431596 isRetracted "false" @default.
- W3216431596 magId "3216431596" @default.
- W3216431596 workType "article" @default.