Rolf J. Ryham 芮若芙 Lecturer, Department Mathematics Rice University

Contact Information
Office: Room C112, Abercrombie Hall
Phone: 713.348.2495
Fax: 713.348.5478
E-mail: [my last name] at rice dot edu
Mailing address: Department of Mathematics, MS-136, Rice University, Houston, TX 77005

Degrees
Ph.D. Pennsylvania State University, 2006
B.S. University of Georgia, 2001

Professional Appointments
Postdoctoral Research Associate, Rice University, 2009
VIGRE Lovett Instructor, Rice University, 2006-2009
VIGRE Graduate Research Assistant, Pennsylvania State University, 2003-2006
Graduate Teaching Assistant, Pennsylvania State University, 2001-2003

Research Interests
Partial differential equations, computational modeling and geometric measure theory.

Curriculum Vitae PDF

Publications

• "Energetic variational approaches in modeling vesicle and fluid interactions." (with Qiang Du, Chun Liu and Xiaoqiang Wang), Phys. D 238 (2009), no. 9-10, 923--930. journal PDF
• "Mathematical models for the deformation of electrolyte droplets." (with Chun Liu and Ludmil Zikatanov) Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 3, 649--661. journal PDF --- charge density velocity phase-field
• "Diffuse interface energies capturing the Euler number: relaxation and renormalization." (with Qiang Du, Chun Liu and Xiaoqiang Wang) Commun. Math. Sci. 5 (2007), no. 1, 233--242. journal PDF
• "On electro-kinetic fluids: one dimensional configurations." (with Chun Liu and Zhi-Qiang Wang) Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 2, 357--371. journal PDF
• "Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation." (with Qiang Du, Chun Liu and Xiaoqiang Wang) Comm. Pure App. Ana. 4 (2005), no. 3, 537--548. journal PDF
• "A phase field formulation of the Willmore problem." (with Qiang Du, Chun Liu and Xiaoqiang Wang) Nonlinearity 18 (2005), no. 3, 1249--1267. journal PDF
• "An Energetic Variational Approach to Mathematical Modeling of Charged Fluids: Charged Phases, Simulation and Well Posedness," Rolf Ryham, Ph.D. Dissertation, Pennsylvania State University, 2006. PDF

Preprints 

• "Existence, Uniqueness, Regularity and Long-term Behavior for Dissipative Systems Modeling Electro-hydrodynamics." (60 pages), submitted to Archive for Rational Mechanics and Analysis (2009) arXiv PDF
• "On Linear Growth Variational Problems Without the Convex Hull Property." (2009) PDF
• "On the Small Mass Limit of the Debye-Hueckel System"

Talks and Posters

• IMA Workshop Microfluidics: Electrokinetic and Interfacial Phenomena PDF
• 18th IMACS World Congress 2009 PDF

Some Computational Projects

• A Nonlinear Wave Equation in Free Capillary Surface Flows
• Phase Field Model of Lipid Bilayer: Fusion of Double Vesicle Membranes

Useful Computational Sparse Matrix Subroutines

• SGS.f - symmetric Guass Seidel
• PCG.f - preconditioned conjugate gradient with symmetric Guass Seidel preconditioner
• transpose.f
• atimesb.f

Teaching 

• MATH 310: Mathematics of Music, (Spring 2010)  course webpage
• CHBE 692: Numerical Methods for Differential Equations in Engineering and Biology (co-teaching), (Fall 2009)  course webpage
• CHBE 401: Transport Phenomena I (co-teaching), (Fall 2009)  course webpage
• MATH 424: Partial Differential Equations II, Index Theory (Spring 2009)  course webpage
• MATH 425: Integration Theory (Fall 2007)  course webpage
• MATH 468/CAAM 436: Potpourri, Partial Differential Equations in Mathematical Physics (Fall 2008)  course webpage
• MATH 499: VIGRE Seminar (Spring 2009)  seminar webpage
• MATH 699: VIGRE Seminar (Spring 2009)  seminar webpage
• MATH 211: Ordinary Differential Equations (Spring 2008)  course webpage
• MATH 213: Mathematical Biology (Fall 2006)  course webpage

Further Items 

• Math Department Home Page
• William Marsh Rice University Home Page
• United Nations Association
• slidemaker.sh directions in top of file
• Help with Bash