FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2129021337> ?p ?o ?g. }

• W2129021337 endingPage "276" @default.
• W2129021337 startingPage "236" @default.
• W2129021337 abstract "We study the existence of self-sustained saturated solutions of the real Ginzburg-Landau equation subject to a boundary condition at x = 0; such solutions are called nonlinear global (NG) modes. The NG instability referring to the existence of these solutions is rigorously determined and the scaling behavior of the NG modes close to threshold is derived. The NG instability is first compared to the linear concept of convective/absolute (C/A) instability characterizing whether the impulse response of an unstable flow in an infinite domain is asymptotically damped or amplified at a fixed location. NG modes are shown to exist while at the same time the flow may be linearly stable, convectively unstable, or absolutely unstable. The growth size of the NG modes is shown to be proportional to ϵ−12 when NG and A instabilities exist simultaneously, ϵ being the criticality parameter, whereas a ln(1ϵ) scaling is found when the NG instability occurs while the flow is C unstable or linearly stable. The nonlinear convective/absolute (NC/NA) instability defined Chomaz (1992) by considering, in infinite homogeneous domains, whether the front separating a bifurcated state from the basic state moves downstream or upstream, is determined using van Saarloos and Hohenberg (1992) results for the selected front velocity. Remarkably, the NA domain and the NG domain are shown to coincide. Similar results are presented for supercritical bifurcating systems, for the “van der Pol-Duffing” system, and for a transcritical model. In all the cases, the A instability is only a sufficient condition for the existence of an NG mode, and these simple models demonstrate that a system may be nonlinearly absolutely unstable whereas it is linearly convectively unstable. This property should be generic if one accepts the conjecture that the selected front velocity is always larger than the linear front velocity. Response to a constant forcing applied at the origin is also studied. It is shown that in the NG region, the system possesses intrinsic dynamics which cannot be removed by the forcing. By contrast, the behavior of a nonlinear spatial amplifier is observed in a domain larger than the NC region. NC instability is only a sufficient condition to trigger the system with forcing." @default.
• W2129021337 created "2016-06-24" @default.
• W2129021337 creator A5046035112 @default.
• W2129021337 creator A5084101758 @default.
• W2129021337 date "1997-10-01" @default.
• W2129021337 modified "2023-09-30" @default.
• W2129021337 title "Absolute and convective instabilities, front velocities and global modes in nonlinear systems" @default.
• W2129021337 cites W1964664630 @default.
• W2129021337 cites W1964760091 @default.
• W2129021337 cites W1967694768 @default.
• W2129021337 cites W1978361241 @default.
• W2129021337 cites W1981860161 @default.
• W2129021337 cites W1983435166 @default.
• W2129021337 cites W2007647598 @default.
• W2129021337 cites W2013189262 @default.
• W2129021337 cites W2014773752 @default.
• W2129021337 cites W2014863630 @default.
• W2129021337 cites W2020661127 @default.
• W2129021337 cites W2022835934 @default.
• W2129021337 cites W2037281255 @default.
• W2129021337 cites W2041772700 @default.
• W2129021337 cites W2058095325 @default.
• W2129021337 cites W2073529482 @default.
• W2129021337 cites W2080539339 @default.
• W2129021337 cites W2084517518 @default.
• W2129021337 cites W2086126894 @default.
• W2129021337 cites W2086980120 @default.
• W2129021337 cites W2092449853 @default.
• W2129021337 cites W2104102786 @default.
• W2129021337 cites W2104765972 @default.
• W2129021337 cites W2116376797 @default.
• W2129021337 cites W2131273370 @default.
• W2129021337 cites W2167716467 @default.
• W2129021337 cites W2491268711 @default.
• W2129021337 cites W3004685718 @default.
• W2129021337 cites W305763138 @default.
• W2129021337 doi "https://doi.org/10.1016/s0167-2789(97)00045-6" @default.
• W2129021337 hasPublicationYear "1997" @default.
• W2129021337 type Work @default.
• W2129021337 sameAs 2129021337 @default.
• W2129021337 citedByCount "75" @default.
• W2129021337 countsByYear W21290213372012 @default.
• W2129021337 countsByYear W21290213372013 @default.
• W2129021337 countsByYear W21290213372014 @default.
• W2129021337 countsByYear W21290213372015 @default.
• W2129021337 countsByYear W21290213372016 @default.
• W2129021337 countsByYear W21290213372017 @default.
• W2129021337 countsByYear W21290213372019 @default.
• W2129021337 countsByYear W21290213372020 @default.
• W2129021337 countsByYear W21290213372021 @default.
• W2129021337 countsByYear W21290213372023 @default.
• W2129021337 crossrefType "journal-article" @default.
• W2129021337 hasAuthorship W2129021337A5046035112 @default.
• W2129021337 hasAuthorship W2129021337A5084101758 @default.
• W2129021337 hasConcept C10899652 @default.
• W2129021337 hasConcept C121332964 @default.
• W2129021337 hasConcept C134306372 @default.
• W2129021337 hasConcept C155491033 @default.
• W2129021337 hasConcept C158622935 @default.
• W2129021337 hasConcept C182310444 @default.
• W2129021337 hasConcept C207821765 @default.
• W2129021337 hasConcept C2524010 @default.
• W2129021337 hasConcept C33923547 @default.
• W2129021337 hasConcept C43466630 @default.
• W2129021337 hasConcept C57879066 @default.
• W2129021337 hasConcept C62520636 @default.
• W2129021337 hasConcept C99844830 @default.
• W2129021337 hasConceptScore W2129021337C10899652 @default.
• W2129021337 hasConceptScore W2129021337C121332964 @default.
• W2129021337 hasConceptScore W2129021337C134306372 @default.
• W2129021337 hasConceptScore W2129021337C155491033 @default.
• W2129021337 hasConceptScore W2129021337C158622935 @default.
• W2129021337 hasConceptScore W2129021337C182310444 @default.
• W2129021337 hasConceptScore W2129021337C207821765 @default.
• W2129021337 hasConceptScore W2129021337C2524010 @default.
• W2129021337 hasConceptScore W2129021337C33923547 @default.
• W2129021337 hasConceptScore W2129021337C43466630 @default.
• W2129021337 hasConceptScore W2129021337C57879066 @default.
• W2129021337 hasConceptScore W2129021337C62520636 @default.
• W2129021337 hasConceptScore W2129021337C99844830 @default.
• W2129021337 hasIssue "3" @default.
• W2129021337 hasLocation W21290213371 @default.
• W2129021337 hasOpenAccess W2129021337 @default.
• W2129021337 hasPrimaryLocation W21290213371 @default.
• W2129021337 hasRelatedWork W1968610985 @default.
• W2129021337 hasRelatedWork W1978423693 @default.
• W2129021337 hasRelatedWork W1981010536 @default.
• W2129021337 hasRelatedWork W2046228234 @default.
• W2129021337 hasRelatedWork W2063852108 @default.
• W2129021337 hasRelatedWork W2090154221 @default.
• W2129021337 hasRelatedWork W2183742982 @default.
• W2129021337 hasRelatedWork W2276784805 @default.
• W2129021337 hasRelatedWork W2326236243 @default.
• W2129021337 hasRelatedWork W2972738617 @default.
• W2129021337 hasVolume "108" @default.
• W2129021337 isParatext "false" @default.
• W2129021337 isRetracted "false" @default.
• W2129021337 magId "2129021337" @default.

• next