500 likes | 710 Views
Happy Birthday, Jerry! Friend, Mentor and Colleague. Coupled KdV-systems of equations: well-posdness, explicit solitary-wave solutions and their stability. Hongqiu CHEN, J. BONA, O. Karakashian University of Memphis Poitiers, June 10, 2011. Mathematical & Physical Criteria.
E N D
Happy Birthday, Jerry! Friend, Mentor and Colleague
Coupled KdV-systems of equations: well-posdness, explicit solitary-wave solutions and their stability Hongqiu CHEN, J. BONA, O. Karakashian University of Memphis Poitiers, June 10, 2011
Mathematical & Physical Criteria 1. Well-posed linearly, nonlinearly locally, globally 2. Preserves ‘Energy’ 3. Has Solitary Waves existence, stability of solitary waves 4. Comparison with the full equations of motion on long time scales 5. Qualitative & Quantitative agreement with Experiments in the laboratory and with field observations