Matches in SemOpenAlex for { <https://semopenalex.org/work/W2592217618> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2592217618 abstract "We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data. It is well known that evolutionary matrix Riccati equations can be generated by projecting linear evolutionary flows on a Stiefel manifold onto a coordinate chart of the underlying Grassmann manifold. Our method relies on extending this idea to the infinite dimensional case. The key is an integral equation analogous to the Marchenko equation in integrable systems, that represents the coodinate chart map. We show explicitly how to generate such solutions to scalar partial differential equations of arbitrary order with nonlocal quadratic nonlinearities using our approach. We provide numerical simulations that demonstrate the generation of solutions to Fisher--Kolmogorov--Petrovskii--Piskunov equations with nonlocal nonlinearities. We also indicate how the method might extend to more general classes of nonlinear partial differential systems." @default.
- W2592217618 created "2017-03-16" @default.
- W2592217618 creator A5018358141 @default.
- W2592217618 creator A5035935039 @default.
- W2592217618 creator A5064135823 @default.
- W2592217618 creator A5083273510 @default.
- W2592217618 date "2023-01-01" @default.
- W2592217618 modified "2023-09-25" @default.
- W2592217618 title "Grassmannian Flows and Applications to Nonlinear Partial Differential Equations" @default.
- W2592217618 cites W1487057719 @default.
- W2592217618 cites W1503411146 @default.
- W2592217618 cites W1515192744 @default.
- W2592217618 cites W1562785810 @default.
- W2592217618 cites W1597741994 @default.
- W2592217618 cites W1971738255 @default.
- W2592217618 cites W197984925 @default.
- W2592217618 cites W1988076923 @default.
- W2592217618 cites W1990316872 @default.
- W2592217618 cites W1997602286 @default.
- W2592217618 cites W1998717724 @default.
- W2592217618 cites W1999873750 @default.
- W2592217618 cites W2008945914 @default.
- W2592217618 cites W2023325192 @default.
- W2592217618 cites W2026507977 @default.
- W2592217618 cites W2033803838 @default.
- W2592217618 cites W2040179286 @default.
- W2592217618 cites W2064420703 @default.
- W2592217618 cites W2077191608 @default.
- W2592217618 cites W2077667513 @default.
- W2592217618 cites W2086673715 @default.
- W2592217618 cites W2087924427 @default.
- W2592217618 cites W2409444472 @default.
- W2592217618 cites W2482217773 @default.
- W2592217618 cites W2963614811 @default.
- W2592217618 cites W597674313 @default.
- W2592217618 cites W631787128 @default.
- W2592217618 cites W1986119538 @default.
- W2592217618 doi "https://doi.org/10.2139/ssrn.4410321" @default.
- W2592217618 hasPublicationYear "2023" @default.
- W2592217618 type Work @default.
- W2592217618 sameAs 2592217618 @default.
- W2592217618 citedByCount "0" @default.
- W2592217618 crossrefType "journal-article" @default.
- W2592217618 hasAuthorship W2592217618A5018358141 @default.
- W2592217618 hasAuthorship W2592217618A5035935039 @default.
- W2592217618 hasAuthorship W2592217618A5064135823 @default.
- W2592217618 hasAuthorship W2592217618A5083273510 @default.
- W2592217618 hasConcept C121332964 @default.
- W2592217618 hasConcept C134306372 @default.
- W2592217618 hasConcept C158622935 @default.
- W2592217618 hasConcept C162929932 @default.
- W2592217618 hasConcept C202444582 @default.
- W2592217618 hasConcept C28826006 @default.
- W2592217618 hasConcept C33923547 @default.
- W2592217618 hasConcept C41008148 @default.
- W2592217618 hasConcept C62520636 @default.
- W2592217618 hasConcept C93779851 @default.
- W2592217618 hasConceptScore W2592217618C121332964 @default.
- W2592217618 hasConceptScore W2592217618C134306372 @default.
- W2592217618 hasConceptScore W2592217618C158622935 @default.
- W2592217618 hasConceptScore W2592217618C162929932 @default.
- W2592217618 hasConceptScore W2592217618C202444582 @default.
- W2592217618 hasConceptScore W2592217618C28826006 @default.
- W2592217618 hasConceptScore W2592217618C33923547 @default.
- W2592217618 hasConceptScore W2592217618C41008148 @default.
- W2592217618 hasConceptScore W2592217618C62520636 @default.
- W2592217618 hasConceptScore W2592217618C93779851 @default.
- W2592217618 hasLocation W25922176181 @default.
- W2592217618 hasOpenAccess W2592217618 @default.
- W2592217618 hasPrimaryLocation W25922176181 @default.
- W2592217618 hasRelatedWork W1551797393 @default.
- W2592217618 hasRelatedWork W1969866959 @default.
- W2592217618 hasRelatedWork W2009793451 @default.
- W2592217618 hasRelatedWork W2067404540 @default.
- W2592217618 hasRelatedWork W2077366804 @default.
- W2592217618 hasRelatedWork W2329254523 @default.
- W2592217618 hasRelatedWork W2380426761 @default.
- W2592217618 hasRelatedWork W2795730263 @default.
- W2592217618 hasRelatedWork W3148830930 @default.
- W2592217618 hasRelatedWork W4294754512 @default.
- W2592217618 isParatext "false" @default.
- W2592217618 isRetracted "false" @default.
- W2592217618 magId "2592217618" @default.
- W2592217618 workType "article" @default.