The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa-Holm system (Q505237): Difference between revisions

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scientific article; zbMATH DE number 6676300

Language	Label	Description	Also known as
English	The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa-Holm system	scientific article; zbMATH DE number 6676300

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instance of

scholarly article

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title

The local well-posedness, blow-up criteria and Gevrey regularity of solutions for a two-component high-order Camassa-Holm system (English)

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Nonlinear Analysis. Real World Applications

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publication date

19 January 2017

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zbMATH Keywords

Besov spaces

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Gevrey regularity

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analyticity

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Littlewood-Paley decomposition

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.nonrwa.2016.12.001

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cites work

Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach

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Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator

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Two-component equations modelling water waves with constant vorticity

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Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system

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

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Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation

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Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system

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Global weak solutions for a two-component Camassa-Holm shallow water system

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On the global existence and wave-breaking criteria for the two-component Camassa-Holm system

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

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Analytic solutions of the Cauchy problem for two-component shallow water systems

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Initial boundary value problems for the two-component shallow water systems

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

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Persistence properties for a family of nonlinear partial differential equations

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Global solutions and blow-up phenomena for the periodic <i>b</i> -equation

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

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An integrable shallow water equation with peaked solitons

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On the scattering problem for the Camassa-Holm equation

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Stability of peakons

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Q4225587

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Q4253188

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Wave breaking for nonlinear nonlocal shallow water equations

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Existence of permanent and breaking waves for a shallow water equation: a geometric approach

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A few remarks on the Camassa-Holm equation.

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On the Cauchy problem for the Camassa-Holm equation

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Global weak solutions for a shallow water equation

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On the weak solutions to a shallow water equation.

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Global conservative solutions of the Camassa-Holm equation

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GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION

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Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View

0 references

On asymptotically equivalent shallow water wave equations

0 references

Global weak solutions for a new periodic integrable equation with peakon solutions

0 references

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

0 references

Formation and dynamics of shock waves in the Degasperis-Procesi equation

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Fourier Analysis and Nonlinear Partial Differential Equations

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Q5316239

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Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients

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Global existence and local well-posedness for a three-component Camassa-Holm system with N-peakon solutions

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An abstract form of the nonlinear Cauchy-Kowalewski theorem

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A note on a theorem of Nirenberg

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Q5521080

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Q5642922

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Identifiers

zbMATH Open document ID

1364.35009

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Mathematics Subject Classification ID

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10.1016/J.NONRWA.2016.12.001

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Sitelinks

Mathematics(1 entry)

mardi Publication:505237

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-Lei Zhang
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@@ Property / full work available at URL @@
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@@ Property / OpenAlex ID: W2561604091 / rank @@
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@@ Property / cites work @@
+Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
+Normal rank
@@ Property / cites work @@
+Well-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operator
+Normal rank
@@ Property / cites work @@
+Two-component equations modelling water waves with constant vorticity
+Normal rank
@@ Property / cites work @@
+Well-posedness, blow-up phenomena and persistence properties for a two-component water wave system
+Normal rank
@@ Property / cites work @@
+On an integrable two-component Camassa-Holm shallow water system
+Normal rank
@@ Property / cites work @@
+Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
+Normal rank
@@ Property / cites work @@
+Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
+Normal rank
@@ Property / cites work @@
+Global weak solutions for a two-component Camassa-Holm shallow water system
+Normal rank
@@ Property / cites work @@
+On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
+Normal rank
@@ Property / cites work @@
+Global weak solutions and blow-up structure for the Degasperis-Procesi equation
+Normal rank
@@ Property / cites work @@
+Analytic solutions of the Cauchy problem for two-component shallow water systems
+Normal rank
@@ Property / cites work @@
+Initial boundary value problems for the two-component shallow water systems
+Normal rank
@@ Property / cites work @@
+Well-posedness, blow-up phenomena, and global solutions for the b-equation
+Normal rank
@@ Property / cites work @@
+Persistence properties for a family of nonlinear partial differential equations
+Normal rank
@@ Property / cites work @@
+Global solutions and blow-up phenomena for the periodic <i>b</i> -equation
+Normal rank
@@ Property / cites work @@
+Global existence and blow-up phenomena for the peakon $b$-family of equations
+Normal rank
@@ Property / cites work @@
+An integrable shallow water equation with peaked solitons
+Normal rank
@@ Property / cites work @@
+On the scattering problem for the Camassa-Holm equation
+Normal rank
@@ Property / cites work @@
+Stability of peakons
@@ Property / cites work: Stability of peakons / rank @@
+Normal rank
@@ Property / cites work @@
+Q4225587
@@ Property / cites work: Q4225587 / rank @@
+Normal rank
@@ Property / cites work @@
+Q4253188
@@ Property / cites work: Q4253188 / rank @@
+Normal rank
@@ Property / cites work @@
+Wave breaking for nonlinear nonlocal shallow water equations
+Normal rank
@@ Property / cites work @@
+Existence of permanent and breaking waves for a shallow water equation: a geometric approach
+Normal rank
@@ Property / cites work @@
+A few remarks on the Camassa-Holm equation.
@@ Property / cites work: A few remarks on the Camassa-Holm equation. / rank @@
+Normal rank
@@ Property / cites work @@
+On the Cauchy problem for the Camassa-Holm equation
+Normal rank
@@ Property / cites work @@
+Global weak solutions for a shallow water equation
+Normal rank
@@ Property / cites work @@
+On the weak solutions to a shallow water equation.
+Normal rank
@@ Property / cites work @@
+Global conservative solutions of the Camassa-Holm equation
+Normal rank
@@ Property / cites work @@
+GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
+Normal rank
@@ Property / cites work @@
+Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
+Normal rank
@@ Property / cites work @@
+On asymptotically equivalent shallow water wave equations
+Normal rank
@@ Property / cites work @@
+Global weak solutions for a new periodic integrable equation with peakon solutions
+Normal rank
@@ Property / cites work @@
+Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
+Normal rank
@@ Property / cites work @@
+Formation and dynamics of shock waves in the Degasperis-Procesi equation
+Normal rank
@@ Property / cites work @@
+Fourier Analysis and Nonlinear Partial Differential Equations
+Normal rank
@@ Property / cites work @@
+Q5316239
@@ Property / cites work: Q5316239 / rank @@
+Normal rank
@@ Property / cites work @@
+Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
+Normal rank
@@ Property / cites work @@
+Global existence and local well-posedness for a three-component Camassa-Holm system with N-peakon solutions
+Normal rank
@@ Property / cites work @@
+An abstract form of the nonlinear Cauchy-Kowalewski theorem
+Normal rank
@@ Property / cites work @@
+A note on a theorem of Nirenberg
@@ Property / cites work: A note on a theorem of Nirenberg / rank @@
+Normal rank
@@ Property / cites work @@
+Q5521080
@@ Property / cites work: Q5521080 / rank @@
+Normal rank
@@ Property / cites work @@
+Q5642922
@@ Property / cites work: Q5642922 / rank @@
+Normal rank
@@ Property / DOI @@
+.1016/J.NONRWA.2016.12.001
@@ Property / DOI: 10.1016/J.NONRWA.2016.12.001 / rank @@
+Normal rank