Faculty

Institution

Unit

Venue

Ralph E. Showalter

Professor Emeritus

University of Texas at Austin

Affiliations

College of Natural Sciences

Mathematics

Ralph E. Showalter is currently serving as a College Of Natural Sciences Professor Emeritus at University of Texas At Austin.

Honors

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Experiences

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Education

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Ralph E. Showalter

University of Texas at Austin

Professor Emeritus

You can click a keyword to filter the displayed items

applied mathematics numerical simulations mathematical analysis mathematics applied physics partial differential equations mechanical engineering differential equations diffusion numerical method for partial differential equation numerical analysis fluid flow diffusion process mechanics of materials dynamical systems transport phenomena nonlinear analysis numerical mathematics boundary value problems nonlinear dynamics applied mathematical modelling mathematical sciences fracture mechanics dispersion science nonlinear science parabolic equations anomalous diffusion mathematical optimization scientific computing fractional calculus crack formation hyperbolic conservation laws hyperbolic equations continuum modeling mathematical bioscience porous materials thermal engineering theoretical analysis evolution equations analytic number theory theoretical modeling residual stress dynamical analysis particle-laden flows diffusion-based modeling dynamic crack propagation nonlinear hyperbolic problem free boundary problems mathematical chemistry disperse flow mechanical behavior semiconductor technology fractured media porous media microstructure models weak solutions stefan problem differential evolution large scale structure application analysis multiscale hydrodynamics hydraulic fracturing strain localization nonlinear equations nanoporous materials final value problem diffusion models cauchy problem micro-structure models fissured media sobolev equation narrow fracture approximation nonlinear parabolic-sobolev equation poro-plastic media darcy-brinkman model double-diffusion models deformable porous media

Notable Scholarly Works

Notable Federal Grants

Collaborators

Semilinear Degenerate Biot–Signorini System. SIAM Journal on Mathematical Analysis (2023)

Alireza HosseinkhanRalph E. Showalter

systems biologymathematical analysis

Approximation of Hysteresis Functional. Journal of Computational and Applied Mathematics (2020)

Malgorzata PeszynskaRalph E. Showalter

computer sciencecomputational chemistrymathematicscomputational mathematicscomputability theoryhysteresisapproximation theoryapplied mathematics

Biot-Pressure System With Unilateral Displacement Constraints. Journal of Mathematical Analysis and Applications (2020)

Alireza HosseinkhanRalph E. Showalter

mathematical analysisunilateral displacement constraintsapplied mathematicsbiot-pressure system

A Darcy–Brinkman Model of Fractures in Porous Media. Journal of Mathematical Analysis and Applications (2017)

Fernando A. MoralesRalph E. Showalter

porous mediafracture mechanicsnumerical simulationssolid mechanicsresidual stressdarcy-brinkman modelnumerical analysisdynamic crack propagationmechanics of materialsmathematical analysisdeformationapplied mathematics

Advection of Methane in the Hydrate Zone: Model, Analysis and Examples. Mathematical Methods in the Applied Sciences (2015)

Malgorzata PeszynskaRalph E. ShowalterJustin T. Webster

mathematical optimizationmathematical chemistryhydrate zoneapplied mathematical modellingapplied algebrahydrological modelingmathematicsmathematical analysishydrologymathematical economicshydrogeologymodeling and simulationapplied ecologywater sciencemathematical sciencesmathematical biologyenvironmental engineeringapplied mathematicsapplied geochemistry

Flow and Transport When Scales Are Not Separated: Numerical Analysis and Simulations of Micro- and Macro-Models. International Journal of Numerical Analysis and Modeling (2015)

Malgorzata PeszynskaRalph E. ShowalterSon Young Yi

numerical simulationsfluid flowfluid dynamicsnumerical analysisfluid mechanicsmodeling and simulationmicrofluidicsapplied mathematics

Diffusion of a Single-Phase Fluid Through a General Deterministic Partially-Fissured Medium. DOAJ (DOAJ: Directory of Open Access Journals) (2014)

Gabriel NguetsengRalph E. ShowalterJean Louis Woukeng

numerical simulationssingle-phase fluiddiffusion processfluid flowfluid dynamicsdiffusionfluid mechanicsapplied mathematics

Evolution of Phase Transitions in Methane Hydrate. Journal of Mathematical Analysis and Applications (2013)

Nathan L. GibsonF. Patricia MedinaMalgorzata PeszynskaRalph E. Showalter

mathematical biosciencemathematical chemistrymathematical biologymathematical physicsmathematicsmethane hydrateevolutionary biologymathematical analysismolecular evolutiongas hydratesapplied mathematicsmathematical sciences

Analysis and Approximation of Microstructure Models. Applicable Analysis (2012)

Adrian MunteanMariya PtashnykRalph E. Showalter

microstructure modelsnumerical simulationsmechanical engineeringmaterial modelingmechanics of materialsmicrostructureapplied mathematics

Interface Approximation of Darcy Flow in a Narrow Channel. Mathematical Methods in the Applied Sciences (2012)

Fernando MoralesRalph E. Showalter

narrow channeldarcy flowinterface approximationapplied mathematics

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Ralph E. Showalter

Professor Emeritus

University of Texas at Austin

Affiliations

College of Natural Sciences

Mathematics

Ralph E. Showalter is currently serving as a College Of Natural Sciences Professor Emeritus at University of Texas At Austin.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Ralph E. Showalter

University of Texas at Austin

Professor Emeritus

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Semilinear Degenerate Biot–Signorini System. SIAM Journal on Mathematical Analysis (2023)

Alireza HosseinkhanRalph E. Showalter

systems biologymathematical analysis

Approximation of Hysteresis Functional. Journal of Computational and Applied Mathematics (2020)

Malgorzata PeszynskaRalph E. Showalter

computer sciencecomputational chemistrymathematicscomputational mathematicscomputability theoryhysteresisapproximation theoryapplied mathematics

Biot-Pressure System With Unilateral Displacement Constraints. Journal of Mathematical Analysis and Applications (2020)

Alireza HosseinkhanRalph E. Showalter

mathematical analysisunilateral displacement constraintsapplied mathematicsbiot-pressure system

A Darcy–Brinkman Model of Fractures in Porous Media. Journal of Mathematical Analysis and Applications (2017)

Fernando A. MoralesRalph E. Showalter

Advection of Methane in the Hydrate Zone: Model, Analysis and Examples. Mathematical Methods in the Applied Sciences (2015)

Malgorzata PeszynskaRalph E. ShowalterJustin T. Webster

Flow and Transport When Scales Are Not Separated: Numerical Analysis and Simulations of Micro- and Macro-Models. International Journal of Numerical Analysis and Modeling (2015)

Malgorzata PeszynskaRalph E. ShowalterSon Young Yi

numerical simulationsfluid flowfluid dynamicsnumerical analysisfluid mechanicsmodeling and simulationmicrofluidicsapplied mathematics

Diffusion of a Single-Phase Fluid Through a General Deterministic Partially-Fissured Medium. DOAJ (DOAJ: Directory of Open Access Journals) (2014)

Gabriel NguetsengRalph E. ShowalterJean Louis Woukeng

numerical simulationssingle-phase fluiddiffusion processfluid flowfluid dynamicsdiffusionfluid mechanicsapplied mathematics

Evolution of Phase Transitions in Methane Hydrate. Journal of Mathematical Analysis and Applications (2013)

Nathan L. GibsonF. Patricia MedinaMalgorzata PeszynskaRalph E. Showalter

Analysis and Approximation of Microstructure Models. Applicable Analysis (2012)

Adrian MunteanMariya PtashnykRalph E. Showalter

microstructure modelsnumerical simulationsmechanical engineeringmaterial modelingmechanics of materialsmicrostructureapplied mathematics

Interface Approximation of Darcy Flow in a Narrow Channel. Mathematical Methods in the Applied Sciences (2012)

Fernando MoralesRalph E. Showalter

narrow channeldarcy flowinterface approximationapplied mathematics

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