On the public citation graph
Local and global well-posedness for the Ostrovsky equation
0 signed · 83 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160460405openalex-snapshot
Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
inferredcites →https://doi.org/10.1007/bf01895688openalex-snapshot
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
inferredcites →https://doi.org/10.1007/s00208-002-0338-0openalex-snapshot
Global well-posedness for the KP-I equation
inferredcites →https://doi.org/10.1016/j.jde.2004.03.026openalex-snapshot
Stability of solitary waves and weak rotation limit for the Ostrovsky equation
inferredcites →https://doi.org/10.1016/s0167-2789(01)00262-7openalex-snapshot
Analytical and numerical studies of weakly nonlocal solitary waves of the rotation-modified Korteweg–de Vries equation
inferredcites →https://doi.org/10.1090/s0894-0347-1991-1086966-0openalex-snapshot
Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
inferredcites →https://doi.org/10.1090/s0894-0347-96-00200-7openalex-snapshot
A bilinear estimate with applications to the KdV equation
inferredcites →https://doi.org/10.3934/dcds.2004.10.731openalex-snapshot
Cauchy problem for the Ostrovsky equation
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4827983openalex-extracted
Soliton Resolution For the Ostrovsky-Vakhnenko Equation
inferred← citeshttps://doi.org/10.1002/mma.3709openalex-snapshot
Well‐posedness and unique continuation property for the generalized Ostrovsky equation with low regularity
inferred← citeshttps://doi.org/10.1007/978-3-319-66766-9_12openalex-snapshot
On the Numerical Approximation to Generalized Ostrovsky Equations: I
inferred← citeshttps://doi.org/10.1007/978-3-319-66766-9_13openalex-snapshot
On the Numerical Approximation to Generalized Ostrovsky Equations: II
inferred← citeshttps://doi.org/10.1007/978-3-642-39007-4_7openalex-snapshot
Some Wellposedness Results for the Ostrovsky–Hunter Equation
inferred← citeshttps://doi.org/10.1007/s00028-015-0306-2openalex-snapshot
Well-posedness of the Ostrovsky–Hunter Equation under the combined effects of dissipation and short-wave dispersion
inferred← citeshttps://doi.org/10.1007/s00028-022-00802-wopenalex-snapshot
The Cauchy problem for the generalized Ostrovsky equation with negative dispersion
inferred← citeshttps://doi.org/10.1007/s00030-015-0342-1openalex-snapshot
Dispersive and diffusive limits for Ostrovsky–Hunter type equations
inferred← citeshttps://doi.org/10.1007/s00030-018-0514-xopenalex-snapshot
The Cauchy problem for the Ostrovsky equation with positive dispersion
inferred← citeshttps://doi.org/10.1007/s00032-018-0278-0openalex-snapshot
Well-posedness and Dispersive/Diffusive Limit of a Generalized Ostrovsky–Hunter Equation
inferred← citeshttps://doi.org/10.1007/s00205-009-0256-3openalex-snapshot
Symmetry and Uniqueness of the Solitary-Wave Solution for the Ostrovsky Equation
inferred← citeshttps://doi.org/10.1007/s10473-022-0418-zopenalex-snapshot
On the Dimension of the Divergence Set of the Ostrovsky Equation
inferred← citeshttps://doi.org/10.1007/s10543-016-0625-xopenalex-snapshot
A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain
inferred← citeshttps://doi.org/10.1007/s10915-019-01109-8openalex-snapshot
Discontinuous Galerkin Methods for the Ostrovsky–Vakhnenko Equation
inferred← citeshttps://doi.org/10.1007/s11040-016-9223-zopenalex-snapshot
The Initial-boundary Value Problem for the Ostrovsky-Vakhnenko Equation on the Half-line
inferred← citeshttps://doi.org/10.1007/s13160-024-00669-zopenalex-snapshot
Mathematical analysis of a norm-conservative numerical scheme for the Ostrovsky equation
inferred← citeshttps://doi.org/10.1007/s42286-021-00054-0openalex-snapshot
High-Frequency Instabilities of the Ostrovsky Equation
inferred← citeshttps://doi.org/10.1016/j.cam.2009.03.008openalex-snapshot
Conservative numerical schemes for the Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.cam.2019.03.021openalex-snapshot
On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative
inferred← citeshttps://doi.org/10.1016/j.crma.2014.01.001openalex-snapshot
The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
inferred← citeshttps://doi.org/10.1016/j.jde.2006.04.007openalex-snapshot
Cauchy problem for the Ostrovsky equation in spaces of low regularity
inferred← citeshttps://doi.org/10.1016/j.jde.2009.09.009openalex-snapshot
Well-posedness and weak rotation limit for the Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.jde.2011.11.013openalex-snapshot
Continuity properties of the solution map for the generalized reduced Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.jde.2014.02.001openalex-snapshot
Convergence of the Ostrovsky equation to the Ostrovsky–Hunter one
inferred← citeshttps://doi.org/10.1016/j.jde.2015.03.007openalex-snapshot
The Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity
inferred← citeshttps://doi.org/10.1016/j.jde.2018.06.023openalex-snapshot
Solitary waves of a coupled KdV system with a weak rotation
inferred← citeshttps://doi.org/10.1016/j.jde.2019.06.003openalex-snapshot
White noise driven Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.jfa.2023.110204openalex-snapshot
Dispersive estimates for nonhomogeneous radial phases: An application to weakly dispersive equations and water wave models
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.03.091openalex-snapshot
Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.03.019openalex-snapshot
Random attractors of the stochastic damped forced Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2014.09.033openalex-snapshot
Oleinik type estimates for the Ostrovsky–Hunter equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2017.12.025openalex-snapshot
A note on the Ostrovsky equation in weighted Sobolev spaces
inferred← citeshttps://doi.org/10.1016/j.mcm.2011.01.011openalex-snapshot
The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
inferred← citeshttps://doi.org/10.1016/j.na.2006.07.031openalex-snapshot
Global Cauchy problem for the Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.na.2008.03.010openalex-snapshot
Local well-posedness and quantitative ill-posedness for the Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2008.09.008openalex-snapshot
The global attractor of the viscous damped forced Ostrovsky equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.03.002openalex-snapshot
The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103141openalex-snapshot
On the solutions for an Ostrovsky type equation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104166openalex-snapshot
The local well-posedness of the coupled Ostrovsky system with low regularity
inferred← citeshttps://doi.org/10.1016/j.physd.2023.134028openalex-snapshot
Stability of constrained solitary waves for the Ostrovsky–Vakhnenko model in the coastal zone
inferred← citeshttps://doi.org/10.1016/j.physd.2024.134416openalex-snapshot
Soliton resolution for the Ostrovsky–Vakhnenko equation
inferred← citeshttps://doi.org/10.1017/prm.2024.86openalex-snapshot
Spectral stability of constrained solitary waves for a generalized Ostrovsky equation
inferred← citeshttps://doi.org/10.1080/00036811.2017.1385064openalex-snapshot
Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space
inferred← citeshttps://doi.org/10.1080/00036811.2022.2122450openalex-snapshot
On the radius of spatial analyticity for Ostrovsky equation with positive dispersion
inferred← citeshttps://doi.org/10.1080/00036811.2024.2384539openalex-snapshot
H 2 -solutions for an Ostrosky–Hunter type equation
inferred← citeshttps://doi.org/10.1080/03605300600987314openalex-snapshot
On the Cauchy Problem for the Ostrovsky Equation with Positive Dispersion
inferred← citeshttps://doi.org/10.1080/03605300903509104openalex-snapshot
Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
inferred← citeshttps://doi.org/10.1090/proc/15322openalex-snapshot
Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space
inferred← citeshttps://doi.org/10.1090/s0002-9939-07-09191-5openalex-snapshot
Stability of solitary waves for the Ostrovsky equation
inferred← citeshttps://doi.org/10.1111/sapm.12034openalex-snapshot
Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq‐Type Equation
inferred← citeshttps://doi.org/10.1111/sapm.12309openalex-snapshot
On the ground states of the Ostrovskyi equation and their stability
inferred← citeshttps://doi.org/10.1137/09075799xopenalex-snapshot
Wave Breaking in the Ostrovsky–Hunter Equation
inferred← citeshttps://doi.org/10.1142/s021989161550006xopenalex-snapshot
Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky–Hunter equation
inferred← citeshttps://doi.org/10.1155/2017/3879017openalex-snapshot
Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case
inferred← citeshttps://doi.org/10.1186/s13661-017-0919-1openalex-snapshot
Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion
inferred← citeshttps://doi.org/10.11948/20220323openalex-snapshot
ON THE ORBITAL STABILITY OF A BOUSSINESQ SYSTEM
inferred← citeshttps://doi.org/10.12732/ijpam.v91i4.7openalex-snapshot
ON THE WAVE BREAKING PHENOMENON OF WEAKLY DISSIPATIVE VAKHNENKO EQUATION
inferred← citeshttps://doi.org/10.14495/jsiaml.14.53openalex-snapshot
Mathematical analysis of a conservative numerical scheme for the Ostrovsky equation
inferred← citeshttps://doi.org/10.2139/ssrn.7192761openalex-snapshot
Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation
inferred← citeshttps://doi.org/10.21711/231766362004/rmc276openalex-snapshot
A NOTE ON SOLUTIONS TO A MODEL FOR LONG INTERNAL WAVES IN A ROTATING FLUID
inferred← citeshttps://doi.org/10.2478/amns.2018.2.00048openalex-snapshot
On a model for internal waves in rotating fluids
inferred← citeshttps://doi.org/10.3934/dcds.2014.34.557openalex-snapshot
Global existence of small-norm solutions in the reduced Ostrovsky equation
inferred← citeshttps://doi.org/10.3934/dcdsb.2020175openalex-snapshot
Ergodicity of stochastic damped Ostrovsky equation driven by white noise
inferred← citeshttps://doi.org/10.3934/eect.2019035openalex-snapshot
Well-posedness and asymptotic behavior of the dissipative Ostrovsky equation
inferred← citeshttps://doi.org/10.3934/math.2020457openalex-snapshot
Invariant measure of stochastic damped Ostrovsky equation driven by pure jump noise
inferred← citeshttps://doi.org/10.48550/arxiv.1308.2611openalex-snapshot
Validity of the weakly-nonlinear solution of the Cauchy problem for the Boussinesq-Ostrovsky equation
inferred← citeshttps://doi.org/10.48550/arxiv.1403.2349openalex-snapshot
Oleinik type estimates for the Ostrovsky-Hunter eequation
inferred← citeshttps://doi.org/10.48550/arxiv.1411.0989openalex-snapshot
Dispersive and diffisive limts for Otrovsky-Hunter type equation
inferred← citeshttps://doi.org/10.48550/arxiv.1508.07556openalex-snapshot
The Ostrovsky-Vakhnenko equation on the half-line: a Riemann-Hilbert approach
inferred← citeshttps://doi.org/10.48550/arxiv.1810.04224openalex-snapshot
On the ground states of the Ostrovskyi equation and their stabilit
inferred← citeshttps://doi.org/10.48550/arxiv.2006.15981openalex-snapshot
Pointwise convergence problem of Ostrovsky equation with rough data and random data
inferred← citeshttps://doi.org/10.55937/sut/1424684265openalex-snapshot
On the generalized reduced Ostrovsky equation
inferred← citeshttps://doi.org/10.57262/die/1356039411openalex-snapshot
Remarks on the Ostrovsky equation
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.