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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Mathematical Modeling And Inverse Problems In Applications, Thanh T. Nguyen Mar 2023

Mathematical Modeling And Inverse Problems In Applications, Thanh T. Nguyen

Faculty Scholarship for the College of Science & Mathematics

Mathematical models, based on ordinary or partial differential equations, are widely used to describe physical/chemical/biological processes and can be found in several applications: nondestructive testing, subsurface imaging, defense, medicine, environmental sciences, etc.


Submesoscale Kinematic Properties In Summer And Winter Surface Flows In The Northern Gulf Of Mexico, M. Berta, A. Griffa, A. C. Haza, J. Horstmann, Helga Huntley, R. Ibrahim, B. Lund, T. M. Ozgokmen, A. C. Poje Sep 2020

Submesoscale Kinematic Properties In Summer And Winter Surface Flows In The Northern Gulf Of Mexico, M. Berta, A. Griffa, A. C. Haza, J. Horstmann, Helga Huntley, R. Ibrahim, B. Lund, T. M. Ozgokmen, A. C. Poje

Faculty Scholarship for the College of Science & Mathematics

Statistical properties of near-surface horizontal velocity gradients are obtained from four drifter experiments conducted in the Gulf of Mexico during Summer 2012 and Winter 2016. The data density provided by the near-simultaneous deployments of 90-326 surface drifters in each allows direct, drifter-based estimates of the scale dependence of velocity gradients at separation scales ranging from 200 m to 5 km. The robustness of these estimates, derived from uniquley sampled, nearly equilateral triplets, is confirmed by comparisons with estimates produced from larger drifter clusters, and with estimates based on concurrent Eulerian X-band radar observations. The winter launches were deployed above a …


Existence Of Homoclinic Solutions For Second Order Difference Equations With P-Laplacian, John R. Graef, Lingju Kong, Min Wang Nov 2015

Existence Of Homoclinic Solutions For Second Order Difference Equations With P-Laplacian, John R. Graef, Lingju Kong, Min Wang

Faculty Scholarship for the College of Science & Mathematics

Using the variational method and critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation described in the paper.


Existence And Uniqueness Of Solutions For A Fractional Boundary Value Problem On A Graph, John R. Graef, Lingju Kong, Min Wang Mar 2014

Existence And Uniqueness Of Solutions For A Fractional Boundary Value Problem On A Graph, John R. Graef, Lingju Kong, Min Wang

Faculty Scholarship for the College of Science & Mathematics

In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory.