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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 including acoustics, viscoelasticity, heat transfer 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, Texas State University, Department of Mathematics. 2016 (47), 1-35.

Graber, P. Jameson., Shomberg, Joseph. (2016). Attractors for strongly damped wave equations with nonlinear hyperbolic dynamic boundary conditions. Nonlinearity, IOP Publishing Ltd & London Mathematical Society. 29 (1171)

Gal, Ciprian., Shomberg, Joseph. (2015). Hyperbolic Relaxation of Reaction Diffusion Equations with Dynamic Boundary Conditions. Quarterly of Applied Mathematics , Brown University and the American Mathematical Society. 73 (1), 93-129 .

Gal, Ciprian., Shomberg, Joseph. (2015). Coleman-Gurtin Type Equations with Dynamic Boundary Conditions. Physica-D: Nonlinear Phenomena, Elsevier/North-Holland (Netherlands). 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, Taylor & Francis. 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., 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., The 11th AIMS (American Institute of Mathematical Sciences) Conference on Dynamical Systems, Special Session on Nonlinear Evolution Equations and Related Topics, Orlando, Florida, "Well-posedness and global attractors for a non-isothermal viscous relaxation of nonlocal Cahn-Hilliard equations". 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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