Matches in SemOpenAlex for { <https://semopenalex.org/work/W2072131766> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2072131766 endingPage "1820" @default.
- W2072131766 startingPage "1800" @default.
- W2072131766 abstract "This paper is devoted to the blow up of analytic solutions with the emergence of irregular solutions. At first, we consider the Panov-Shelkovich system where such types of -wave solutions have been explicitly exhibited. We propose a method to reduce this system of nonlinear PDEs to a system of two ODEs in Banach spaces, which permits to obtain theoretical existence of approximate solutions for the Cauchy problem by constructing weak asymptotic solutions. Further, this method allows to study these PDEs through their ODEs representation by basic elementary numerical schemes whose construction is very easy. Then, we observe the expected results from the previous theoretical method; this also gives confidence in the mathematical proofs. We prove that this method gives back the classical analytic solutions using an abstract Cauchy-Kovalevska theorem in scales of Banach spaces. We also study solutions in the form of for other similar systems. Indeed, we show formation of very irregular shock waves when the existence time of a classical analytic solution is over. Finally, we sketch adaptations to provide weak asymptotic solutions to the 3-D Euler-Poisson equations with application to pressureless fluid dynamics and cosmology." @default.
- W2072131766 created "2016-06-24" @default.
- W2072131766 creator A5076836568 @default.
- W2072131766 date "2014-09-02" @default.
- W2072131766 modified "2023-09-23" @default.
- W2072131766 title "Irregular shock waves formation as continuation of analytic solutions" @default.
- W2072131766 cites W1624724784 @default.
- W2072131766 cites W1974975564 @default.
- W2072131766 cites W1981589562 @default.
- W2072131766 cites W1984699983 @default.
- W2072131766 cites W1986908214 @default.
- W2072131766 cites W1987524076 @default.
- W2072131766 cites W1992541877 @default.
- W2072131766 cites W2000915366 @default.
- W2072131766 cites W2011728444 @default.
- W2072131766 cites W2017965316 @default.
- W2072131766 cites W2036891912 @default.
- W2072131766 cites W2040575706 @default.
- W2072131766 cites W2077173209 @default.
- W2072131766 cites W2083003029 @default.
- W2072131766 cites W2156371278 @default.
- W2072131766 cites W4256214629 @default.
- W2072131766 doi "https://doi.org/10.1080/00036811.2014.952290" @default.
- W2072131766 hasPublicationYear "2014" @default.
- W2072131766 type Work @default.
- W2072131766 sameAs 2072131766 @default.
- W2072131766 citedByCount "5" @default.
- W2072131766 countsByYear W20721317662015 @default.
- W2072131766 countsByYear W20721317662016 @default.
- W2072131766 countsByYear W20721317662020 @default.
- W2072131766 crossrefType "journal-article" @default.
- W2072131766 hasAuthorship W2072131766A5076836568 @default.
- W2072131766 hasBestOaLocation W20721317662 @default.
- W2072131766 hasConcept C108710211 @default.
- W2072131766 hasConcept C121332964 @default.
- W2072131766 hasConcept C132954091 @default.
- W2072131766 hasConcept C134306372 @default.
- W2072131766 hasConcept C151602998 @default.
- W2072131766 hasConcept C153635880 @default.
- W2072131766 hasConcept C158622935 @default.
- W2072131766 hasConcept C17744445 @default.
- W2072131766 hasConcept C199539241 @default.
- W2072131766 hasConcept C202444582 @default.
- W2072131766 hasConcept C2524010 @default.
- W2072131766 hasConcept C26955809 @default.
- W2072131766 hasConcept C2776359362 @default.
- W2072131766 hasConcept C28826006 @default.
- W2072131766 hasConcept C33923547 @default.
- W2072131766 hasConcept C34862557 @default.
- W2072131766 hasConcept C49344536 @default.
- W2072131766 hasConcept C62520636 @default.
- W2072131766 hasConcept C62884695 @default.
- W2072131766 hasConcept C94625758 @default.
- W2072131766 hasConceptScore W2072131766C108710211 @default.
- W2072131766 hasConceptScore W2072131766C121332964 @default.
- W2072131766 hasConceptScore W2072131766C132954091 @default.
- W2072131766 hasConceptScore W2072131766C134306372 @default.
- W2072131766 hasConceptScore W2072131766C151602998 @default.
- W2072131766 hasConceptScore W2072131766C153635880 @default.
- W2072131766 hasConceptScore W2072131766C158622935 @default.
- W2072131766 hasConceptScore W2072131766C17744445 @default.
- W2072131766 hasConceptScore W2072131766C199539241 @default.
- W2072131766 hasConceptScore W2072131766C202444582 @default.
- W2072131766 hasConceptScore W2072131766C2524010 @default.
- W2072131766 hasConceptScore W2072131766C26955809 @default.
- W2072131766 hasConceptScore W2072131766C2776359362 @default.
- W2072131766 hasConceptScore W2072131766C28826006 @default.
- W2072131766 hasConceptScore W2072131766C33923547 @default.
- W2072131766 hasConceptScore W2072131766C34862557 @default.
- W2072131766 hasConceptScore W2072131766C49344536 @default.
- W2072131766 hasConceptScore W2072131766C62520636 @default.
- W2072131766 hasConceptScore W2072131766C62884695 @default.
- W2072131766 hasConceptScore W2072131766C94625758 @default.
- W2072131766 hasIssue "9" @default.
- W2072131766 hasLocation W20721317661 @default.
- W2072131766 hasLocation W20721317662 @default.
- W2072131766 hasOpenAccess W2072131766 @default.
- W2072131766 hasPrimaryLocation W20721317661 @default.
- W2072131766 hasRelatedWork W1552840414 @default.
- W2072131766 hasRelatedWork W1974164399 @default.
- W2072131766 hasRelatedWork W1987691811 @default.
- W2072131766 hasRelatedWork W2039652894 @default.
- W2072131766 hasRelatedWork W2251209157 @default.
- W2072131766 hasRelatedWork W2346465507 @default.
- W2072131766 hasRelatedWork W2371485630 @default.
- W2072131766 hasRelatedWork W2809393823 @default.
- W2072131766 hasRelatedWork W2906653481 @default.
- W2072131766 hasRelatedWork W63613800 @default.
- W2072131766 hasVolume "94" @default.
- W2072131766 isParatext "false" @default.
- W2072131766 isRetracted "false" @default.
- W2072131766 magId "2072131766" @default.
- W2072131766 workType "article" @default.