FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2065383968> ?p ?o ?g. }

• W2065383968 endingPage "356" @default.
• W2065383968 startingPage "310" @default.
• W2065383968 abstract "We establish the existence and stability of multidimensional transonic shocks (hyperbolic-elliptic shocks) for the Euler equations for steady compressible potential fluids in infinite cylinders. The Euler equations, consisting of the conservation law of mass and the Bernoulli law for velocity, can be written as a second order nonlinear equation of mixed elliptic-hyperbolic type for the velocity potential. The transonic shock problem in an infinite cylinder can be formulated into the following free boundary problem: The free boundary is the location of the multidimensional transonic shock which divides two regions of C1,α flow in the infinite cylinder, and the equation is hyperbolic in the upstream region where the C1,α perturbed flow is supersonic. We develop a nonlinear approach to deal with such a free boundary problem in order to solve the transonic shock problem in unbounded domains. Our results indicate that there exists a solution of the free boundary problem such that the equation is always elliptic in the unbounded downstream region, the uniform velocity state at infinity in the downstream direction is uniquely determined by the given hyperbolic phase, and the free boundary is C1,α, provided that the hyperbolic phase is close in C1,α to a uniform flow. We further prove that, if the steady perturbation of the hyperbolic phase is C2,α, the free boundary is C2,α and stable under the steady perturbation. © 2003 Wiley Periodicals Inc." @default.
• W2065383968 created "2016-06-24" @default.
• W2065383968 creator A5018452636 @default.
• W2065383968 creator A5073772809 @default.
• W2065383968 date "2003-01-01" @default.
• W2065383968 modified "2023-10-02" @default.
• W2065383968 title "Steady transonic shocks and free boundary problems in infinite cylinders for the Euler equations" @default.
• W2065383968 cites W1501711999 @default.
• W2065383968 cites W1532515344 @default.
• W2065383968 cites W1551496985 @default.
• W2065383968 cites W1601100443 @default.
• W2065383968 cites W1866311589 @default.
• W2065383968 cites W1972859561 @default.
• W2065383968 cites W1975868805 @default.
• W2065383968 cites W1982161647 @default.
• W2065383968 cites W1985797955 @default.
• W2065383968 cites W1997106368 @default.
• W2065383968 cites W2009324230 @default.
• W2065383968 cites W2027564791 @default.
• W2065383968 cites W2042072205 @default.
• W2065383968 cites W2046437204 @default.
• W2065383968 cites W2056087537 @default.
• W2065383968 cites W2061544666 @default.
• W2065383968 cites W2063193845 @default.
• W2065383968 cites W2076673836 @default.
• W2065383968 cites W2106961716 @default.
• W2065383968 cites W2481572957 @default.
• W2065383968 cites W2791318588 @default.
• W2065383968 cites W3128809158 @default.
• W2065383968 cites W4255388216 @default.
• W2065383968 cites W80861392 @default.
• W2065383968 doi "https://doi.org/10.1002/cpa.3042" @default.
• W2065383968 hasPublicationYear "2003" @default.
• W2065383968 type Work @default.
• W2065383968 sameAs 2065383968 @default.
• W2065383968 citedByCount "83" @default.
• W2065383968 countsByYear W20653839682012 @default.
• W2065383968 countsByYear W20653839682013 @default.
• W2065383968 countsByYear W20653839682014 @default.
• W2065383968 countsByYear W20653839682015 @default.
• W2065383968 countsByYear W20653839682016 @default.
• W2065383968 countsByYear W20653839682018 @default.
• W2065383968 countsByYear W20653839682019 @default.
• W2065383968 countsByYear W20653839682020 @default.
• W2065383968 countsByYear W20653839682021 @default.
• W2065383968 countsByYear W20653839682022 @default.
• W2065383968 countsByYear W20653839682023 @default.
• W2065383968 crossrefType "journal-article" @default.
• W2065383968 hasAuthorship W2065383968A5018452636 @default.
• W2065383968 hasAuthorship W2065383968A5073772809 @default.
• W2065383968 hasConcept C103838597 @default.
• W2065383968 hasConcept C111615704 @default.
• W2065383968 hasConcept C121332964 @default.
• W2065383968 hasConcept C126322002 @default.
• W2065383968 hasConcept C13393347 @default.
• W2065383968 hasConcept C134306372 @default.
• W2065383968 hasConcept C152361515 @default.
• W2065383968 hasConcept C154416045 @default.
• W2065383968 hasConcept C158622935 @default.
• W2065383968 hasConcept C182310444 @default.
• W2065383968 hasConcept C2781300812 @default.
• W2065383968 hasConcept C33923547 @default.
• W2065383968 hasConcept C3445786 @default.
• W2065383968 hasConcept C38409319 @default.
• W2065383968 hasConcept C57879066 @default.
• W2065383968 hasConcept C62354387 @default.
• W2065383968 hasConcept C62520636 @default.
• W2065383968 hasConcept C71924100 @default.
• W2065383968 hasConcept C93779851 @default.
• W2065383968 hasConcept C97355855 @default.
• W2065383968 hasConceptScore W2065383968C103838597 @default.
• W2065383968 hasConceptScore W2065383968C111615704 @default.
• W2065383968 hasConceptScore W2065383968C121332964 @default.
• W2065383968 hasConceptScore W2065383968C126322002 @default.
• W2065383968 hasConceptScore W2065383968C13393347 @default.
• W2065383968 hasConceptScore W2065383968C134306372 @default.
• W2065383968 hasConceptScore W2065383968C152361515 @default.
• W2065383968 hasConceptScore W2065383968C154416045 @default.
• W2065383968 hasConceptScore W2065383968C158622935 @default.
• W2065383968 hasConceptScore W2065383968C182310444 @default.
• W2065383968 hasConceptScore W2065383968C2781300812 @default.
• W2065383968 hasConceptScore W2065383968C33923547 @default.
• W2065383968 hasConceptScore W2065383968C3445786 @default.
• W2065383968 hasConceptScore W2065383968C38409319 @default.
• W2065383968 hasConceptScore W2065383968C57879066 @default.
• W2065383968 hasConceptScore W2065383968C62354387 @default.
• W2065383968 hasConceptScore W2065383968C62520636 @default.
• W2065383968 hasConceptScore W2065383968C71924100 @default.
• W2065383968 hasConceptScore W2065383968C93779851 @default.
• W2065383968 hasConceptScore W2065383968C97355855 @default.
• W2065383968 hasIssue "3" @default.
• W2065383968 hasLocation W20653839681 @default.
• W2065383968 hasOpenAccess W2065383968 @default.
• W2065383968 hasPrimaryLocation W20653839681 @default.
• W2065383968 hasRelatedWork W1483749984 @default.
• W2065383968 hasRelatedWork W2052780622 @default.
• W2065383968 hasRelatedWork W2261690195 @default.
• W2065383968 hasRelatedWork W2771162091 @default.

• next