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Collaborations and top research areas from the last five years
Profiles
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Alberto Bressan
- Mathematics - Eberly Family Chair Professor
- Center for Interdisciplinary Mathematics - Director
- Center for Computational Mathematics and Applications (CCMA)
Person: Academic
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Mark Levi
- Mathematics - Department Head and Professor
- Center for Computational Mathematics and Applications (CCMA)
- Anatole Katok Center for Dynamical Systems and Geometry
Person: Academic
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Research output
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A DYNAMIC PROGRAMMING APPROACH TO THE FIRE BLOCKING PROBLEM
Bressan, A., 2026, In: Communications in Optimization Theory. 2026, 23.Research output: Contribution to journal › Article › peer-review
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Data-driven superresolution imaging in disordered media
Christie, A., Leibovich, M., Moscoso, M., Novikov, A., Papanicolaou, G. & Tsogka, C., Jan 6 2026, In: Proceedings of the National Academy of Sciences of the United States of America. 123, 1, e2530449123.Research output: Contribution to journal › Article › peer-review
Open Access -
Enhanced dissipation by advection and applications to PDEs
Mazzucato, A. L., Feng, Y. & Nobili, C., Feb 2026, In: Applied Mathematical Modelling. 150, 116310.Research output: Contribution to journal › Article › peer-review
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Generic solutions to controlled balance laws
Bressan, A. & Nguyen, K. T., Mar 1 2026, In: Journal of Hyperbolic Differential Equations. 23, 1, p. 35-59 25 p.Research output: Contribution to journal › Article › peer-review
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Human brain MRI data of intrathecally injected tracer evolution over 72 hours for data-integrated simulations
Riseth, J. N., Koch, T., Lian, S. L., Holck Storås, T., Zikatanov, L. T., Valnes, L. M., Nordengen, K. & Mardal, K. A., Dec 2026, In: Scientific Data. 13, 1, 245.Research output: Contribution to journal › Article › peer-review
Open Access1 Link opens in a new tab Scopus citations -
Multiscale analysis of a kinetic model of confined suspensions of self-propelled rods
Berlyand, L., Dang, S., Jabin, P. E. & Potomkin, M., Mar 1 2026, In: Mathematical Models and Methods in Applied Sciences. 36, 3, p. 629-654 26 p.Research output: Contribution to journal › Article › peer-review
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Nonlinear Stability in a Free Boundary Model of Active Locomotion
Berlyand, L., Safsten, C. A. & Truskinovsky, L., Feb 2026, In: Archive for Rational Mechanics and Analysis. 250, 1, 2.Research output: Contribution to journal › Article › peer-review
Open Access -
On the Unisolvence for the Quasi-Polynomial Spaces of Differential Forms
Wu, S. & Zikatanov, L. T., 2026, (Accepted/In press) In: Computational Methods in Applied Mathematics.Research output: Contribution to journal › Article › peer-review
Open Access1 Link opens in a new tab Scopus citations -
On the vanishing viscosity limit for incompressible flows with inflow/outflow boundary conditions
Mazzucato, A. L., Wang, D. & Wei, W., Jun 25 2026, In: Journal of Differential Equations. 467, 114338.Research output: Contribution to journal › Article › peer-review
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Predicting Open Quantum Dynamics with Data-Informed Quantum-Classical Dynamics
Xie, P., Wang, K., Mitra, A., Zhu, Y., Li, X., De Jong, W. A. & Yang, C., Jan 9 2026, In: Physical review letters. 136, 1, 010402.Research output: Contribution to journal › Article › peer-review
Open Access
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Singular and Ill-Posed Problems for Partial Differential Equations in Continuum Mechanics
Mazzucato, A. L. (PI)
9/1/25 → 8/31/27
Project: Research project
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Singular and Ill-Posed Problems for Partial Differential Equations in Continuum Mechanics
Mazzucato, A. L. (PI)
9/1/25 → 8/31/27
Project: Research project
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Free boundary and homogenization problems in active matter
Berlyand, L. V. (PI)
9/1/24 → 8/31/27
Project: Research project
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Improving quantum speedup for solving differential equations
Li, X. (PI)
9/1/24 → 8/31/27
Project: Research project
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Free boundary and homogenization problems in active matter
Berlyand, L. V. (PI)
9/1/24 → 8/31/27
Project: Research project
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Transport of Particles in Heterogeneous Media
Novikov, A. (PI)
6/1/24 → 5/31/27
Project: Research project
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EAGER: IMPRESS-U: Random Matrix Theory and its Applications to Deep Learning
Berlyand, L. V. (PI)
1/1/24 → 12/31/26
Project: Research project
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EAGER: IMPRESS-U: Random Matrix Theory and its Applications to Deep Learning
Berlyand, L. V. (PI)
1/1/24 → 12/31/26
Project: Research project
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Regularity and Approximation of Solutions to Conservation Laws
Bressan, A. (PI)
7/1/23 → 6/30/27
Project: Research project
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Collaborative Research: Adaptive Mixed-Dimensional Modeling and Simulation of Porous Media
Zikatanov, L. T. (PI) & Yuwli@psuedu, Y. L. (CoPI)
8/1/22 → 7/31/26
Project: Research project