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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 22
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 6, December 2015
  4. Dispersive and diffusive limits for Ostrovsky–Hunter type equations
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 6, December 2015
Stability tests for second order linear and nonlinear delayed models
Singular limits in higher order Liouville-type equations
Sunflower model: time-dependent coefficients and topology of the periodic solutions set
On the lower semicontinuity and approximation of $${L^{\infty}}$$ L ∞ -functionals
Systems of integro-PDEs with interconnected obstacles and multi-modes switching problem driven by Lévy process
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
Geometric inequalities for fractional Laplace operators and applications
Propagation of Gabor singularities for semilinear Schrödinger equations
Dispersive and diffusive limits for Ostrovsky–Hunter type equations
Zubov’s method for controlled diffusions with state constraints
Multiple normalized solutions of Chern–Simons–Schrödinger system
Liouville-type theorems for a quasilinear elliptic equation of the Hénon-type
A multiplicity result for Chern–Simons–Schrödinger equation with a general nonlinearity
Uniqueness of viscosity solutions for a class of integro-differential equations
A reduced model for the polarization in a ferroelectric thin wire
Existence for stationary mean-field games with congestion and quadratic Hamiltonians
Renormalized solutions of semilinear equations involving measure data and operator corresponding to Dirichlet form
A singular elliptic equation with natural growth in the gradient and a variable exponent
On Orlicz capacities and a nonexistence result for certain elliptic PDEs
On a class of critical (p, q)-Laplacian problems
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 5, October 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 4, August 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 3, June 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 2, April 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 1, February 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Dispersive and diffusive limits for Ostrovsky–Hunter type equations

Content Provider SpringerLink
Author Coclite, Giuseppe Maria di Ruvo, Lorenzo
Copyright Year 2015
Abstract We consider the equation $$\partial _{x}(\partial_{t} u+\partial_{x} f(u)-\beta \partial_{xxx}^{3} u)=\gamma u,$$ that includes the short pulse, the Ostrovsky–Hunter, and the Korteweg–deVries ones. We consider here the asymptotic behavior as $${\gamma\to 0}$$ . The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L p setting.
Ending Page 1763
Page Count 31
Starting Page 1733
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 6
Volume Number 22
Language English
Publisher Springer Basel
Publisher Date 2015-08-02
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Conservation laws Wave equation Ostrovsky–Hunter equation Entropy condition Compensated compactness Analysis Singular limit Initial value problems for nonlinear higher-order equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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