happy birthday, jerry! friend, mentor and colleague
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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. - PowerPoint PPT PresentationTRANSCRIPT
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Happy Birthday, Jerry!Happy Birthday, Jerry!
Friend, Mentor and Colleague Friend, Mentor and Colleague
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Hongqiu CHEN, J. BONA, O. Karakashian
University of Memphis
Poitiers, June 10, 2011
Coupled KdV-systems of equations: well-Coupled KdV-systems of equations: well-posdness, posdness,
explicit solitary-wave solutions and their explicit solitary-wave solutions and their stability stability
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Mathematical & Physical CriteriaMathematical & Physical Criteria
1.1. Well-posedWell-posed
linearly, nonlinearly locally, globallylinearly, nonlinearly locally, globally2.2. Preserves ‘Energy’Preserves ‘Energy’3.3. Has Has Solitary WavesSolitary Waves
existence, stability of solitary wavesexistence, stability of solitary waves4.4. Comparison with the full equations of motionComparison with the full equations of motion
on long time scaleson long time scales5.5. Qualitative & Quantitative agreement with Qualitative & Quantitative agreement with
ExperimentsExperiments
in the laboratory and with field in the laboratory and with field
observationsobservations
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THANK YOU!THANK YOU!
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