Stability of solutions to the aggregation equation

Honors College Thesis

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Citeable URL: https://ir.library.oregonstate.edu/concern/honors_college_theses/5138jq15c

Descriptions

Attribute Name	Values
Creator	Zitzelberger, Nicholas
Abstract	We investigate the stability of solutions to the aggregation equations through the use of energy methods. We prove bounds on the norm of the difference of two solutions in terms of the difference in norm of the corresponding initial data. In addition, we use a similar approach to prove an estimate on the weighted norm of the difference of two solutions. Our weighted estimate yields information on the changes to a solution at positive times at a particular location as a result of changes to the initial data in regions far away from this location.
Resource Type	Honors College Thesis
Date Issued	2025-03-06
Degree Level	Bachelor's
Degree Name	Honors Bachelor of Science (H.B.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2025
Advisor	Cozzi, Elaine
Committee Member	Marshall, Nicholas De Leenheer, Patrick
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Honors College
权利声明	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
File Format	pdf
File Extent	31 pages
Accessibility Feature	unknown
Accessibility Summary	Deficiency: Small text is used for sub/superscripts in mathmode latex

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