4.5 Article

WELL-POSEDNESS, BLOW-UP PHENOMENA AND GLOBAL EXISTENCE FOR THE GENERALIZED b-EQUATION WITH HIGHER-ORDER NONLINEARITIES AND WEAK DISSIPATION

Related references

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

A note on the Cauchy problem of the Novikov equation

Xinglong Wu et al.

APPLICABLE ANALYSIS (2013)

Article Mathematics, Applied

Peakon solutions of the Novikov equation and properties of the data-to-solution map

Katelyn Grayshan

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2013)

Article Mathematics, Applied

The existence of global strong and weak solutions for the Novikov equation

Shaoyong Lai et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2013)

Article Mathematics, Applied

The Cauchy problem for the Novikov equation

Wei Yan et al.

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS (2013)

Article Mathematics

The Cauchy problem for the integrable Novikov equation

Wei Yan et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2012)

Article Mathematics, Applied

Blow-up phenomenon for the integrable Novikov equation

Zaihong Jiang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2012)

Article Mathematics, Applied

Global existence and blow-up phenomena for the weakly dissipative Novikov equation

Wei Yan et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2012)

Article Mathematics, Applied

The Cauchy problem for the Novikov equation

A. Alexandrou Himonas et al.

NONLINEARITY (2012)

Article Mathematics

Analyticity of periodic traveling free surface water waves with vorticity

Adrian Constantin et al.

ANNALS OF MATHEMATICS (2011)

Article Mathematics

The Periodic Cauchy Problem for Novikov's Equation

F. Tiglay

INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2011)

Article Mathematics

Well-posedness and persistence properties for the Novikov equation

Lidiao Ni et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2011)

Article Mathematics

Well-posedness and blow-up phenomena for a higher order shallow water equation

Chunlai Mu et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2011)

Article Mathematics, Applied

Blow-up phenomena and global existence for the nonuniform weakly dissipative b-equation

Weisheng Niu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2011)

Article Physics, Multidisciplinary

Global weak solutions for the Novikov equation

Xinglong Wu et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2011)

Article Mathematics

Global solutions and blow-up phenomena to a shallow water equation

Shaoyong Lai et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2010)

Article Mathematics, Applied

Inverse scattering transform for the Degasperis-Procesi equation

Adrian Constantin et al.

NONLINEARITY (2010)

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

GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR A WEAKLY DISSIPATIVE DEGASPERIS-PROCESI EQUATION

Shuyin Wu et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2009)

Article Mathematics, Applied

INFINITE PROPAGATION SPEED FOR A TWO COMPONENT CAMASSA-HOLM EQUATION

David Henry

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2009)

Article Mathematics

Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation

Shuyin Wu et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2009)

Article Physics, Multidisciplinary

Generalizations of the Camassa-Holm equation

Vladimir Novikov

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2009)

Article Mathematics, Applied

Persistence properties for a family of nonlinear partial differential equations

David Henry

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2009)

Article Mathematics

Global existence and blow-up phenomena for the peakon b-family of equations

Guilong Gui et al.

INDIANA UNIVERSITY MATHEMATICS JOURNAL (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

Persistence properties for the Degasperis-Procesi equation

David Henry

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS (2008)

Article Physics, Multidisciplinary

Integrable peakon equations with cubic nonlinearity

Andrew N. W. Hone et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2008)

Article Physics, Multidisciplinary

On an integrable two-component Camassa-Holm shallow water system

Adrian Constantin et al.

PHYSICS LETTERS A (2008)

Article Mathematics, Applied

BLOW-UP AND DECAY OF THE SOLUTION OF THE WEAKLY DISSIPATIVE DEGASPERIS-PROCESI EQUATION

Shuyin Wu et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2008)

Article Mathematics, Applied

Blow-Up Phenomena and Decay for the Periodic Degasperis-Procesi Equation with Weak Dissipation

Shuyin Wu et al.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS (2008)

Article Multidisciplinary Sciences

Water waves and integrability

Rossen I. Ivanov

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (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

Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation

Joachim Escher et al.

INDIANA UNIVERSITY MATHEMATICS JOURNAL (2007)

Article Mathematics

Global weak solutions and blow-up structure for the Degasperis-Procesi equation

Joachim Escher et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2006)

Article Mathematics, Applied

Inverse scattering transform for the Camassa-Holm equation

Adrian Constantin et al.

INVERSE PROBLEMS (2006)

Article Mathematics

Riemann-Hilbert approach for the Camassa-Holm equation on the line

Anne Boutet de Monvel et al.

COMPTES RENDUS MATHEMATIQUE (2006)

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

On the well-posedness of the Degasperis-Procesi equation

GM Coclite et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2006)

Article Physics, Mathematical

Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation

SY Wu et al.

JOURNAL OF MATHEMATICAL PHYSICS (2006)

Article Mathematics, Applied

Infinite propagation speed for the Degasperis-Procesi equation

D Henry

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2005)

Article Mathematics, Applied

Compactly supported solutions of the Camassa-Holm equation

D Henry

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS (2005)

Article Mathematics, Applied

A note on the Degasperis-Procesi equation

OG Mustafa

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS (2005)

Article Physics, Mathematical

Finite propagation speed for the Camassa-Holm equation

A Constantin

JOURNAL OF MATHEMATICAL PHYSICS (2005)

Article Physics, Multidisciplinary

Conservation laws of the Camassa-Holm equation

J Lenells

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2005)

Article Mathematics, Applied

On asymptotically equivalent shallow water wave equations

HR Dullin et al.

PHYSICA D-NONLINEAR PHENOMENA (2004)

Article Mathematics, Interdisciplinary Applications

Periodic and solitary-wave solutions of the Degasperis-Procesi equation

VO Vakhnenko et al.

CHAOS SOLITONS & FRACTALS (2004)

Article Mathematics

Global solutions to a new integrable equation with peakons

ZY Yin

INDIANA UNIVERSITY MATHEMATICS JOURNAL (2004)

Article Mathematics

A note on well-posedness for Camassa-Holm equation

R Danchin

JOURNAL OF DIFFERENTIAL EQUATIONS (2003)

Article Mathematics, Applied

Multi-peakon solutions of the Degasperis-Procesi equation

H Lundmark et al.

INVERSE PROBLEMS (2003)

Article Mathematics

Analyticity of the Cauchy problem for an integrable evolution equation

AA Himonas et al.

MATHEMATISCHE ANNALEN (2003)

Article Physics, Multidisciplinary

A new integrable equation with peakon solutions

A Degasperis et al.

THEORETICAL AND MATHEMATICAL PHYSICS (2002)

Article Mathematics, Applied

Stability of the Camassa-Holm solitons

A Constantin et al.

JOURNAL OF NONLINEAR SCIENCE (2002)

Article Physics, Multidisciplinary

Perturbative symmetry approach

AV Mikhailov et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2002)

Article Physics, Multidisciplinary

An integrable shallow water equation with linear and nonlinear dispersion

HR Dullin et al.

PHYSICAL REVIEW LETTERS (2001)

Article Multidisciplinary Sciences

On the scattering problem for the Camassa-Holm equation

A Constantin

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2001)

Article Physics, Mathematical

Global weak solutions for a shallow water equation

A Constantin et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2000)