Fluid and Solid Mechanics

The physics of fluids and solids are an unending source of interest. The Navier-Stokes equations, porous media phenomena, remote sensing, and other such areas provide difficult problems in both mathematics and computation, that a number of faculty address in their research. The main focus areas are fluid dynamics at small scales, flows in complex environments, active motion and self-organization, solid-fluid interfaces, and porous media.

Kevin Cooper

http://www.math.wsu.edu/math/kcooper/ kcooper@wsu.edu Neill 322 Numerical analysis, computational mathematics, neural networks. Applied Mathematics Fluid and Solid Mechanics Optimization and Data Analytics

Sample Publications Kinetic equation for spatially averaged molecular dynamics Panelists bias matrix estimation in a red wine trained panel

Kevin Fiedler

https://tricities.wsu.edu/cas/faculty/kfiedler/ kevin.fiedler@wsu.edu TC Applied Mathematics Mathematical Biology Fluid and Solid Mechanics

Sample Publications Differential Colorimetry Measurements of Instability Growth in Nanofilms Exposed to a Large Transverse Thermal Gradient Early Time Instability in Nanofilms Exposed to a Large Transverse Thermal Gradient: Improved Image and Thermal Analysis

Alex Khapalov

http://www.math.wsu.edu/math/faculty/khapala/ khapala@wsu.edu Neill 307 Analysis of swimming models, described by the coupled fluid and (integro-) ordinary differential equations, and their motion capabilities from the viewpoint of controllability theory. Controllability of linear and nonlinear partial differential equations, governed by multiplicative (bilinear) controls. Smart materials, point sensors and actuators, including mobile ones. Applied Mathematics Pure Mathematics Fluid and Solid Mechanics Analysis and PDEs

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Sergey Lapin

http://www.math.wsu.edu/faculty/slapin/ slapin@wsu.edu Evrt Numerical modeling of biological fluids, fluid-structure interaction problems Applied Mathematics Statistics and Probability Mathematics Education Mathematical Biology Fluid and Solid Mechanics Data Analytics

Sample Publications Waveform parameters of retrobulbar vessels in glaucoma patients with different demographics and disease severity Modeling Refugee Movement Based on a Continuum Mechanics Phase - Field Approach of Porous Media

V.S. Manoranjan

http://www.math.wsu.edu/math/faculty/mano/ mano@wsu.edu Neill 231 MATHEMATICAL MODELING – Pattern Formation, Contaminant Transport, Spread of Diseases, Population Models & Solitons;COMPUTATIONAL MATHEMATICS – Finite Element/Finite Difference methods, Spectral methods, Operator Splitting methods, Iterative methods & Machine Learning;MATHEMATICS LEARNING – Interactive online lessons & Evidence-based Experiential learning Applied Mathematics Mathematics Education Mathematical Biology Fluid and Solid Mechanics Data Analytics Linear Algebra Analysis and PDEs

Sample Publications Modeling the Spread of COVID-19 in Enclosed Spaces Analysis of a population model with advection and an autocatalytic-type growth

Alexander Panchenko

http://www.math.wsu.edu/math/faculty/panchenko/ panchenko@wsu.edu Neill 329 Network approximation for effective parameters of concentrated suspensions, homogenization of unconsolidated composites and media with moving interfaces, modeling of osteoporosis and blood circulation, and inverse conductivity problem with rough conductivities. Applied Mathematics Mathematical Biology Fluid and Solid Mechanics

Sample Publications

Lynn Schreyer

http://www.math.wsu.edu/faculty/lschreyer/ lynn.schreyer@wsu.edu Neill 225 Deformation of, Flow through, Evaporation in Porous Media Applied Mathematics Fluid and Solid Mechanics

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Saranah Selmi

https://tricities.wsu.edu/cas/faculty/ saranah.selmi@wsu.edu TC Applied Mathematics Mathematical Biology Fluid and Solid Mechanics

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Nikos Voulgarakis

http://www.math.wsu.edu/faculty/nvoul/index.html n.voulgarakis@wsu.edu Neill 325 Nonlinear Dynamics, Stochastic Processes, Fluid Dynamics at small scales, Mathematical Biology and Biophysics Applied Mathematics Mathematical Biology Fluid and Solid Mechanics Probability and Stochastic Processes

Sample Publications Stochastic pursuit-evasion curves for foraging dynamics Emergent Criticality in Coupled Boolean Networks