4.5 Article

On H 2-solutions for a Camassa-Holm type equation

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

On the classical solutions for a Rosenau-Korteweg-deVries-Kawahara type equation

Giuseppe Maria Coclite et al.

Summary: In this paper, the well-posedness of classical solutions for the Cauchy problem of the Rosenau-Korteweg-deVries-Kawahara equation is proven.

ASYMPTOTIC ANALYSIS (2022)

Article Mathematics, Applied

ON A REGULARIZED POROUS MEDIUM EQUATION

Giuseppe Maria Coclite et al.

Summary: We investigate a porous medium equation with dissipative and hyper-diffusive effects, where there are no sign restrictions on the diffusion coefficient.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S (2022)

Article Mathematics, Applied

Existence results for the Kudryashov-Sinelshchikov-Olver equation

Giuseppe Maria Coclite et al.

Summary: This paper proves the existence of solutions for the Cauchy problem associated with the Kudryashov-Sinelshchikov-Olver equation, which describes pressure waves in liquids with gas bubbles and takes into account heat transfer and viscosity.

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2021)

Article Mathematics

Well-posedness result for the Kuramoto-Velarde equation

Giuseppe Maria Coclite et al.

Summary: The Kuramoto-Velarde equation describes slow space-time variations of disturbances at interfaces and plasma instability fronts. It also proves the well-posedness of classical solutions for the Cauchy problem under appropriate assumptions on initial data, time, and coefficients.

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2021)

Article Mathematics, Applied

On the solutions for an Ostrovsky type equation

Giuseppe Maria Coclite et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2020)

Article Mathematics

A Note on the Solutions for a Higher-Order Convective Cahn-Hilliard-Type Equation

Giuseppe Maria Coclite et al.

MATHEMATICS (2020)

Article Computer Science, Artificial Intelligence

On the Well-Posedness of A High Order Convective Cahn-Hilliard Type Equations

Giuseppe Maria Coclite et al.

ALGORITHMS (2020)

Article Mathematics, Applied

A NOTE ON THE CONVERGENCE OF THE SOLUTION OF THE NOVIKOV EQUATION

Giuseppe Maria Coclite et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2019)

Article Mathematics, Applied

A NOTE ON THE CONVERGENCE OF THE SOLUTION OF THE HIGH ORDER CAMASSA-HOLM EQUATION TO THE ENTROPY ONES OF A SCALAR CONSERVATION LAW

Giuseppe Maria Coclite et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2017)

Article Mathematics, Applied

A singular limit problem for the Kudryashov-Sinelshchikov equation

Giuseppe Maria Coclite et al.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2017)

Article Mathematics, Applied

A NOTE ON THE CONVERGENCE OF THE SOLUTIONS OF THE CAMASSA-HOLM EQUATION TO THE ENTROPY ONES OF A SCALAR CONSERVATION LAW

Giuseppe Maria Coclite et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2016)

Article Mathematics

A note on the Camassa-Holm equation

G. M. Coclite et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2015)

Article Mathematics

Periodic solutions of the Degasperis-Procesi equation: Well-posedness and asymptotics

G. M. Coclite et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2015)

Article Mathematics, Applied

Dispersive and diffusive limits for Ostrovsky-Hunter type equations

Giuseppe Maria Coclite et al.

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS (2015)

Article Mathematics

Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one

Giuseppe Maria Coclite et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2014)

Article Mathematics, Applied

ON THE CAUCHY PROBLEM FOR THE DEGASPERIS-PROCESI EQUATION

Guilong Gui et al.

QUARTERLY OF APPLIED MATHEMATICS (2011)

Article Mathematics, Applied

The Hydrodynamical Relevance of the Camassa-Holm and Degasperis-Procesi Equations

Adrian Constantin et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2009)

Article Mathematics, Applied

DISSIPATIVE SOLUTIONS FOR THE CAMASSA-HOLM EQUATION

Helge Holden et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2009)

Article Mathematics

Well-posedness of higher-order Camassa-Holm equations

G. M. Coclite et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2009)

Article Mathematics, Applied

On discreteness of the Hopf equation

Hai-liang Liu

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES (2008)

Article Mathematics

Well-posedness, blow-up phenomena, and global solutions for the b-equation

Joachim Escher et al.

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2008)

Article Mathematics, Applied

A convergent finite difference scheme for the Camassa-Holm equation with general H-1 initial data

G. M. Coclite et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2008)

Article Mathematics, Applied

Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation

G. M. Coclite et al.

IMA JOURNAL OF NUMERICAL ANALYSIS (2008)

Article Mathematics, Applied

Variational derivation of the Camassa-Holm shallow water equation

Delia Ionescu-Kruse

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS (2007)

Article Mathematics

On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation

Giuseppe M. Coclite et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2007)

Article Mathematics

Global conservative solutions of the generalized hyperelastic-rod wave equation

Helge Holden et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2007)

Article Mathematics, Applied

Global conservative solutions of the Camassa-Holm equation

Alberto Bressan et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2007)

Article Mathematics, Applied

Global dissipative solutions of the Camassa-Holm equation

Alberto Bressan et al.

ANALYSIS AND APPLICATIONS (2007)

Article Mathematics, Applied

Global conservative solutions of the camassa-holm equation - A lagrangian point of view

Helge Holden et al.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2007)

Article Mathematics

Singular limit problem of the Camassa-Holm type equation

Seok Hwang

JOURNAL OF DIFFERENTIAL EQUATIONS (2007)

Article Physics, Mathematical

Global existence and blow-up phenomena for the Degasperis-Procesi equation

Yue Liu et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2006)

Article Mathematics, Applied

A singular limit problem for conservation laws related to the Camassa-Holm shallow water equation

Giuseppe Maria Coclite et al.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2006)

Article Mathematics

On the well-posedness of the Degasperis-Procesi equation

GM Coclite et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2006)

Article Mathematics

Traveling wave solutions of the Camassa-Holm equation

J Lenells

JOURNAL OF DIFFERENTIAL EQUATIONS (2005)

Article Mathematics, Applied

Global weak solutions to a generalized hyperelastic-rod wave equation

GM Coclite et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2005)

Article Mathematics, Applied

On asymptotically equivalent shallow water wave equations

HR Dullin et al.

PHYSICA D-NONLINEAR PHENOMENA (2004)

Article Mathematics

Global solutions to a new integrable equation with peakons

ZY Yin

INDIANA UNIVERSITY MATHEMATICS JOURNAL (2004)

Article Multidisciplinary Sciences

On solutions of the Camassa-Holm equation

RS Johnson

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2003)

Article Mathematics, Applied

Global existence for a new periodic integrable equation

ZY Yin

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2003)

Article Mathematics

Geodesic flow on the diffeomorphism group of the circle

A Constantin et al.

COMMENTARII MATHEMATICI HELVETICI (2003)

Article Physics, Multidisciplinary

A new integrable equation with peakon solutions

A Degasperis et al.

THEORETICAL AND MATHEMATICAL PHYSICS (2002)

Review Physics, Multidisciplinary

On the geometric approach to the motion of inertial mechanical systems

A Constantin et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2002)

Article Mechanics

Camassa-Holm, Korteweg-de Vries and related models for water waves

RS Johnson

JOURNAL OF FLUID MECHANICS (2002)

Article Mathematics

Classical solutions of the periodic Camassa-Holm equation

G Misiolek

GEOMETRIC AND FUNCTIONAL ANALYSIS (2002)

Article Mathematics, Applied

On the uniqueness and large time behavior of the weak solutions to a shallow water equation

ZP Xin et al.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2002)

Article Physics, Multidisciplinary

An integrable shallow water equation with linear and nonlinear dispersion

HR Dullin et al.

PHYSICAL REVIEW LETTERS (2001)

Article Mathematics, Applied

On the Cauchy problem for the Camassa-Holm equation

G Rodríguez-Blanco

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2001)

Article Multidisciplinary Sciences

Solitary shock waves and other travelling waves in a general compressible hyperelastic rod

HH Dai et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2000)

Article Physics, Mathematical

Global weak solutions for a shallow water equation

A Constantin et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2000)