FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2971030289> ?p ?o ?g. }

• W2971030289 abstract "We study a nonlocal particle model describing traffic flow on rough roads. In the model, each driver adjusts the speed of the car according to the condition over an interval in the front, leading to a system of nonlocal ODEs which we refer to as the FtLs (follow-the-leaders) model. Assuming that the road condition is discontinuous at the origin, we seek stationary wave profiles (see Definition 1.1) for the system of ODEs across this discontinuity. We derive a non-local delay differential equation with discontinuous coefficient, satisfied by the profiles, together with conditions on the asymptotic values as $xtopminfty$. Results on existence, uniqueness, and local stability are proved, for all cases. We show that, depending on the case, there might exist a unique profile, infinitely many profiles, or no profiles. The stability result also depends on cases. Various numerical simulations are presented. Finally, we establish convergence of these profiles to those of a local particle model, as well as those of a nonlocal PDE model." @default.
• W2971030289 created "2019-09-05" @default.
• W2971030289 creator A5005843205 @default.
• W2971030289 creator A5055556401 @default.
• W2971030289 date "2019-02-22" @default.
• W2971030289 modified "2023-09-25" @default.
• W2971030289 title "Stationary Wave Profiles for Nonlocal Particle Models of Traffic Flow on Rough Roads" @default.
• W2971030289 cites W1502315489 @default.
• W2971030289 cites W1541939020 @default.
• W2971030289 cites W1968742902 @default.
• W2971030289 cites W1986788497 @default.
• W2971030289 cites W2016535998 @default.
• W2971030289 cites W2032966561 @default.
• W2971030289 cites W2045256358 @default.
• W2971030289 cites W2063974606 @default.
• W2971030289 cites W2123005879 @default.
• W2971030289 cites W2164278186 @default.
• W2971030289 cites W2170725848 @default.
• W2971030289 cites W2404942064 @default.
• W2971030289 cites W2539501769 @default.
• W2971030289 cites W2566163163 @default.
• W2971030289 cites W2594005850 @default.
• W2971030289 cites W2798744386 @default.
• W2971030289 cites W2886533324 @default.
• W2971030289 cites W2887270255 @default.
• W2971030289 cites W2962778765 @default.
• W2971030289 cites W2962791029 @default.
• W2971030289 cites W2962895516 @default.
• W2971030289 cites W2962964289 @default.
• W2971030289 cites W2963110170 @default.
• W2971030289 cites W2964118669 @default.
• W2971030289 cites W2964148485 @default.
• W2971030289 cites W2980787919 @default.
• W2971030289 cites W2981145725 @default.
• W2971030289 cites W3103513121 @default.
• W2971030289 doi "https://doi.org/10.48550/arxiv.1902.08537" @default.
• W2971030289 hasPublicationYear "2019" @default.
• W2971030289 type Work @default.
• W2971030289 sameAs 2971030289 @default.
• W2971030289 citedByCount "0" @default.
• W2971030289 crossrefType "posted-content" @default.
• W2971030289 hasAuthorship W2971030289A5005843205 @default.
• W2971030289 hasAuthorship W2971030289A5055556401 @default.
• W2971030289 hasBestOaLocation W29710302891 @default.
• W2971030289 hasConcept C112972136 @default.
• W2971030289 hasConcept C119857082 @default.
• W2971030289 hasConcept C121332964 @default.
• W2971030289 hasConcept C121864883 @default.
• W2971030289 hasConcept C134306372 @default.
• W2971030289 hasConcept C15627037 @default.
• W2971030289 hasConcept C158535547 @default.
• W2971030289 hasConcept C162324750 @default.
• W2971030289 hasConcept C207512268 @default.
• W2971030289 hasConcept C2524010 @default.
• W2971030289 hasConcept C2777021972 @default.
• W2971030289 hasConcept C2777042112 @default.
• W2971030289 hasConcept C2777303404 @default.
• W2971030289 hasConcept C28826006 @default.
• W2971030289 hasConcept C33923547 @default.
• W2971030289 hasConcept C34862557 @default.
• W2971030289 hasConcept C38349280 @default.
• W2971030289 hasConcept C38652104 @default.
• W2971030289 hasConcept C41008148 @default.
• W2971030289 hasConcept C42246873 @default.
• W2971030289 hasConcept C50522688 @default.
• W2971030289 hasConcept C51544822 @default.
• W2971030289 hasConcept C51955184 @default.
• W2971030289 hasConcept C78045399 @default.
• W2971030289 hasConceptScore W2971030289C112972136 @default.
• W2971030289 hasConceptScore W2971030289C119857082 @default.
• W2971030289 hasConceptScore W2971030289C121332964 @default.
• W2971030289 hasConceptScore W2971030289C121864883 @default.
• W2971030289 hasConceptScore W2971030289C134306372 @default.
• W2971030289 hasConceptScore W2971030289C15627037 @default.
• W2971030289 hasConceptScore W2971030289C158535547 @default.
• W2971030289 hasConceptScore W2971030289C162324750 @default.
• W2971030289 hasConceptScore W2971030289C207512268 @default.
• W2971030289 hasConceptScore W2971030289C2524010 @default.
• W2971030289 hasConceptScore W2971030289C2777021972 @default.
• W2971030289 hasConceptScore W2971030289C2777042112 @default.
• W2971030289 hasConceptScore W2971030289C2777303404 @default.
• W2971030289 hasConceptScore W2971030289C28826006 @default.
• W2971030289 hasConceptScore W2971030289C33923547 @default.
• W2971030289 hasConceptScore W2971030289C34862557 @default.
• W2971030289 hasConceptScore W2971030289C38349280 @default.
• W2971030289 hasConceptScore W2971030289C38652104 @default.
• W2971030289 hasConceptScore W2971030289C41008148 @default.
• W2971030289 hasConceptScore W2971030289C42246873 @default.
• W2971030289 hasConceptScore W2971030289C50522688 @default.
• W2971030289 hasConceptScore W2971030289C51544822 @default.
• W2971030289 hasConceptScore W2971030289C51955184 @default.
• W2971030289 hasConceptScore W2971030289C78045399 @default.
• W2971030289 hasLocation W29710302891 @default.
• W2971030289 hasOpenAccess W2971030289 @default.
• W2971030289 hasPrimaryLocation W29710302891 @default.
• W2971030289 hasRelatedWork W1698227499 @default.
• W2971030289 hasRelatedWork W189832769 @default.
• W2971030289 hasRelatedWork W2753348653 @default.
• W2971030289 hasRelatedWork W2950301484 @default.
• W2971030289 hasRelatedWork W2963109409 @default.

• next