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Joseph Shomberg

Associate Professor

Contact Information:

jshomber@providence.edu
401-865-2720
Howley Hall 212

Education:

Ph.D. - Mathematics University of Wisconsin - Milwaukee

Area(s) of Expertise:

Partial differential equations and infinite dimensional dynamical systems with applications to materials science, mechanics, and thermodynamics

Awards and Honors:

Summer Scholar Award - School of Arts and Sciences, Providence College

Selected Publications:

Shomberg, Joseph. (2016). Robust Exponential Attractors for Coleman-Gurtin Equations with Dynamic Boundary Conditions Possessing Memory. Electronic Journal of Differential Equations, 2016 (47), 1-35.

Gal, Ciprian., Shomberg, Joseph. (2015). Hyperbolic Relaxation of Reaction Diffusion Equations with Dynamic Boundary Conditions. Quarterly of Applied Mathematics , 73 (1), 93-129 .

Gal, Ciprian., Shomberg, Joseph. (2015). Coleman-Gurtin Type Equations with Dynamic Boundary Conditions. Physica-D: Nonlinear Phenomena, 292/293, 29-45.

Nartea, Cristina., Shomberg, Joseph. (2011). A Family of Approximate Inertial Manifolds for a Van der Pol/FitzHugh-Nagumo Perturbation Problem. International Journal of Computer Mathematics, 88 (7), 1443-1470.

Recent Presentations:

Shomberg, Joseph., Mathematical Congress of the Americas 2017, Special Session on Models and Methods in Evolutionary Differential Equations on mixed scales, Montréal, Canada, "TBA". July, 2017.

Shomberg, Joseph., 2016 SIAM (Society for Industrial and Applied Mathematicians) Annual Meeting, Boston, Massachusetts, "Global Attractors and Weak Exponential Attractors for Strongly Damped Wave Equations with Nonlinear Hyperbolic Dynamic Boundary Conditions". July, 2016.

Shomberg, Joseph., The 11th AIMS (American Institute of Mathematical Sciences) Conference on Dynamical Systems, Special Session on Nonlinear Evolution Equations and Related Topics, Orlando, Florida, "Global Attractors and Weak Exponential Attractors for Strongly Damped Wave Equations with Nonlinear Hyperbolic Dynamic Boundary Conditions". July, 2016.

Shomberg, Joseph., Lefschetz Center for Dynamical Systems Seminar, Division of Applied Mathematics, Brown University, Providence, Rhode Island, "Dynamic Boundary Conditions with Memory: Well-Posedness and Attractors for Coleman-Gurtin Equations". March, 2016.

Shomberg, Joseph., Fall Southeastern Sectional Meeting of the American Mathematical Society, American Mathematical Society, University of Memphis, Memphis, Tennessee, "Well-posedness and asymptotic behavior for non-isothermal viscous nonlocal Cahn-Hilliard equations". October, 2015.

Shomberg, Joseph., EquaDiff 2015, Université Claude Bernard Lyon 1, Lyon, France, "Attractors for Damped Semilinear Wave Equations with a Robin-Acoustic Boundary Perturbation". July, 2015.

Shomberg, Joseph., Spring Eastern Sectional Meeting, American Mathematical Society, Georgetown University, Washington, DC, "Attractors for Damped Semilinear Wave Equations with a Robin-Acoustic Boundary Perturbation". March, 2015.


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