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

By Joachim Escher, Yue Liu, Zhaoyang Yin. 2006

300 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f1073e373bde2ec38dc95b23a164158d1990a4fc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Yue Liu
2. Zhaoyang Yin
3. Ying Fu
4. Changzheng Qu
5. Zhiwu Lin
6. Adrian Constantin

In Mathematical Physics

1. Yue Liu
2. Zhaoyang Yin
3. Changzheng Qu
4. Joachim Escher
5. Ying Fu
6. Jonatan Lenells
7. Zhiwu Lin
8. Rossen I. Ivanov

In Statistical and Nonlinear Physics

1. Yue Liu
2. Zhaoyang Yin
3. Changzheng Qu
4. Ying Fu
5. Joachim Escher
6. Zhiwu Lin
7. Jonatan Lenells
8. Adrian Constantin

Citations in the corpus

• Cuspons and Smooth Solitons of the Degasperis–Procesi Equation Under Inhomogeneous Boundary Condition (2007, background): “Also, the DP equation admits the global weak solution and blow-up structure [9].”
• Inverse scattering transform for the Degasperis–Procesi equation (2010, background): “1) is ensured at any later time t > 0 (see [14, 31, 43]).”
• Stability of peakons for the Degasperis‐Procesi equation (2007, background): “Existence of global weak solution in H(1) of the DP equation is also proved in [16].”
• On the Blow-up Phenomena for the Degasperis–Procesi Equation (2010, background): “For example, Yin proved local well-posedness to Eq.”
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation (2007, background): “Global weak solutions and the blow-up structure for this equation on the line were also investigated in [25].”
• Well-posedness, wave breaking and peakons for a modified μ-Camassa-Holm equation (2014, methodology): “Wave breaking phenomena and global existence of solutions for the Degasperis–Procesi equation were investigated in [6,16,18,19,34,35].”
• The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations (2007, unknown): “[6, 9, 27, 28] for (8) and [16] for (9).”
• Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation (2006, background): “A forthcoming paper by the authors [ 25 ] deals with global weak solutions in H 1 (R) and blow-up structure for the Degasperis-Procesi equation.”