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Akademický článek
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Autor:
N. Manganaro
Publikováno v:
Ricerche di Matematica. 70:167-180
In this paper the 1D Euler system with a source term is considered in the case of isentropic flows. Classes of exact solutions of the equations under interest have been determined within the framework of the differential constraint method and a Riema
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b52e80750727c20dcb5e436fb63b1d87
https://doi.org/10.1007/s11587-020-00515-7
https://doi.org/10.1007/s11587-020-00515-7
Autor:
N Manganaro
Publikováno v:
Nonlinearity. 32:4188-4205
In this paper we determine classes of conservation laws admitted by first-order hyperbolic nonhomogeneous systems by following the so-called direct method proposed by Bluman et al. Such mathematical models can describe several situations of interest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::526eebd988088f4b18b9d6199453ab2d
https://doi.org/10.1088/1361-6544/ab28c2
https://doi.org/10.1088/1361-6544/ab28c2
In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::038714ac7a73d35e045012036ac8244b
http://hdl.handle.net/10447/540978
http://hdl.handle.net/10447/540978
Autor:
Carmela Currò, N. Manganaro
Publikováno v:
Ricerche di Matematica. 68:179-193
In this paper a first order quasilinear hyperbolic system describing a polyatomic gas far from the equilibrium is considered. After giving a classification of all the possible first order differential constraints admitted by the governing equations u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7ae9612a77bd54d60e8802a2bb459b4
https://doi.org/10.1007/s11587-018-0396-6
https://doi.org/10.1007/s11587-018-0396-6
Akademický článek
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Akademický článek
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Autor:
Carmela Currò, N. Manganaro
Publikováno v:
Ricerche di Matematica. 65:549-562
In this paper a p-system with relaxation is considered. Within the theoretical framework of the differential constraints method, we determine two possible classes of exact solutions of the governing model both parameterized by one arbitrary function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c34fa145d39d6c8c4e98a77b0f8e9b96
https://doi.org/10.1007/s11587-016-0274-z
https://doi.org/10.1007/s11587-016-0274-z
Autor:
Carmela Currò, N. Manganaro
A nonlinear model of extended thermodynamics with six fields without the near-equilibrium approximation, in one dimensional case, is considered. A class of double wave solutions of the governing system at hand is determined and an exact description o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3ad7cdade7887b886aa6fa268c9328e
http://hdl.handle.net/11570/3128934
http://hdl.handle.net/11570/3128934
Autor:
N. Manganaro, Carmela Currò
A reduction procedure for determining double-wave exact solutions to first-order hyperbolic systems of PDEs is proposed. The basic idea is to reduce the integration of the governing hyperbolic set of N partial differential equations to that of a $$2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ee8a1dd35baad607ffa88dd9c8000c3
http://hdl.handle.net/11570/3117810
http://hdl.handle.net/11570/3117810