Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit

Author:   Siddhant Agrawal
Publisher:   American Mathematical Society
Volume:   Volume: 293 Number: 1458
ISBN:  

9781470467388


Pages:   124
Publication Date:   31 March 2024
Format:   Paperback
Availability:   In Print   Availability explained
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Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit


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This is the second paper in a series of papers analyzing angled crested like water waves with surface tension. We consider the 2D capillary gravity water wave equation and assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. In the first paper we constructed a weighted energy which generalizes the energy of Kinsey and Wu to the case of non-zero surface tension, and proved a local wellposedness result. In this paper we prove that under a suitable scaling regime, the zero surface tension limit of these solutions with surface tension are solutions to the gravity water wave equation which includes waves with angled crests.

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Author:   Siddhant Agrawal
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 293 Number: 1458
Weight:   0.272kg
ISBN:  

9781470467388


ISBN 10:   1470467380
Pages:   124
Publication Date:   31 March 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Siddhant Agrawal, Instituto de Ciencias Matematicas (ICMAT), Madrid, Spain.

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