caa a22 4500 606193952 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00030-015-0342-1 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0342-1 Dispersive and diffusive limits for Ostrovsky-Hunter type equations [Elektronische Daten] [Giuseppe Coclite, Lorenzo di Ruvo] We consider the equation $$\partial _{x}(\partial_{t} u+\partial_{x} f(u)-\beta \partial_{xxx}^{3} u)=\gamma u,$$ ∂ x ( ∂ t u + ∂ x f ( u ) - β ∂ x x x 3 u ) = γ u , that includes the short pulse, the Ostrovsky-Hunter, and the Korteweg-deVries ones. We consider here the asymptotic behavior as $${\gamma\to 0}$$ γ → 0 . The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L p setting. Springer Basel, 2015 Singular limit nationallicence Compensated compactness nationallicence Ostrovsky-Hunter equation nationallicence Entropy condition nationallicence Coclite Giuseppe Department of Mathematics, University of Bari, via E. Orabona 4, 70125, Bari, Italy aut di Ruvo Lorenzo Department of Mathematics, University of Bari, via E. Orabona 4, 70125, Bari, Italy aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1733-1763 1021-9722 22:6<1733 2015 22 30 https://doi.org/10.1007/s00030-015-0342-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0342-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Coclite Giuseppe Department of Mathematics, University of Bari, via E. Orabona 4, 70125, Bari, Italy aut NATIONALLICENCE 700 1- di Ruvo Lorenzo Department of Mathematics, University of Bari, via E. Orabona 4, 70125, Bari, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1733-1763 1021-9722 22:6<1733 2015 22 30