Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky-Hunter equation
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Publication:1650573
DOI10.1007/s00032-018-0278-0zbMath1394.35136OpenAlexW2802963327MaRDI QIDQ1650573
Giuseppe Maria Coclite, Lorenzo di Ruvo
Publication date: 4 July 2018
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-018-0278-0
stabilityexistenceuniquenessentropy solutionscompensated compactnessnonlinear dispersive effectsdiscontinuous weak solutions
Wave equation (35L05) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30)
Related Items (12)
Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data ⋮ A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation ⋮ Discontinuous solutions for the short-pulse master mode-locking equation ⋮ Well-posedness and blow-up for a non-local elliptic-hyperbolic system related to short-pulse equation ⋮ Unnamed Item ⋮ On the solutions for an Ostrovsky type equation ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ A non-local elliptic-hyperbolic system related to the short pulse equation ⋮ Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux ⋮ Singular limits with vanishing viscosity for nonlocal conservation laws ⋮ On the solutions for a Benney-Lin type equation ⋮ On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation
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