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Ralph Showalter in front of brick wall

Ralph E. Showalter

Department of Mathematics

Ralph E. Showalter

Department of Mathematics



Ralph Showalter joined the Mathematics Department at Oregon State University in the Fall of 2003. Previously he held the Blumberg Centennial Professorship in Mathematics at the University of Texas at Austin and was a founding member of the Texas Institute for Computational and Applied Mathematics, now ICES. He has held visiting positions at Purdue University, VPI & State University, University of Augsburg, and Brown University. He has published over 100 research papers, served as referee for 20 research journals, and he is a member of the editorial boards of ten journals; he has supervised 20 Ph.D. dissertations.


Ph.D., University of Illinois, 1968


My research interests include singular or degenerate nonlinear evolution equations and partial differential equations, variational inequalities, free-boundary problems, and related applications to initial-boundary-value problems of mechanics and diffusion. Current work is focused on the development of multiphysics mathematical models of coupled fluid-solid dynamics, deformable porous media, and upscaled models of transport and flow in heterogeneous media.

Research Interests

  • Partial Differential Equations

Research Area

Data Science