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Analysis & Probability Seminar

Time

Wednesday, October 22 2025 at 3:20pm

Location

Carver 401

The Analysis and Probability Seminar will continue this Wednesday, Oct 22 starting from 3:20pm in Carver 401. Nicole Buczkowski (Creighton University) will give a talk, information given below.

The reading group on large deviations will continue this Tuesday (Oct 21) starting at 12:30pm in Carver 401.

Speaker: Nicole Buczkowski (Creighton University)

Title: Facets of Nonlocal Biharmonic Operators with Clamped Boundary Conditions

Abstract: Nonlocal operators are used in modeling due to their capability of handling discontinuities and modeling a range of interactions through different choices for kernels. Using these operators in models has several applications, including peridynamics (fracture mechanics), swarming behavior, and image processing. The biharmonic operator appears in many models, notably in the deformations of beams and plates. The nonlocal biharmonic operator can be formulated in at least two ways: using a fourth difference operator in the integrand or iterating the nonlocal Laplacian. In this talk, we discuss various facets of these operators, including comparisons between the two associated nonlocal clamped boundary value problems.
The Analysis and Probability Seminar will continue this Wednesday, Oct 22 starting from 3:20pm in Carver 401. Nicole Buczkowski (Creighton University) will give a talk, information given below.

The reading group on large deviations will continue this Tuesday (Oct 21) starting at 12:30pm in Carver 401.

Speaker: Nicole Buczkowski (Creighton University)

Title: Facets of Nonlocal Biharmonic Operators with Clamped Boundary Conditions

Abstract: Nonlocal operators are used in modeling due to their capability of handling discontinuities and modeling a range of interactions through different choices for kernels. Using these operators in models has several applications, including peridynamics (fracture mechanics), swarming behavior, and image processing. The biharmonic operator appears in many models, notably in the deformations of beams and plates. The nonlocal biharmonic operator can be formulated in at least two ways: using a fourth difference operator in the integrand or iterating the nonlocal Laplacian. In this talk, we discuss various facets of these operators, including comparisons between the two associated nonlocal clamped boundary value problems.