Ralph E. Showalter
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Ralph E. Showaltermathematics Degrees
Mathematics
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Functional Analysis
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Measure Theory
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Mathematics
Ralph E. Showalter's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Ralph E. Showalter Influential?
(Suggest an Edit or Addition)Ralph E. Showalter's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Monotone operators in Banach space and nonlinear partial differential equations (1996) (1406)
- Hilbert Space Methods for Partial Differential Equations (1979) (514)
- Singular and degenerate Cauchy problems (1976) (333)
- Pseudoparabolic Partial Differential Equations (1970) (291)
- Diffusion in Poro-Elastic Media (2000) (266)
- The final value problem for evolution equations (1974) (167)
- Implicit Degenerate Evolution Equations and Applications (1981) (147)
- Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space (1972) (124)
- Diffusion models for fractured media (1990) (94)
- Cauchy Problem for Hyper-Parabolic Partial Differential Equations (1985) (82)
- Diffusion of fluid in a fissured medium with microstructure (1991) (81)
- Poro-plastic filtration coupled to Stokes flow (2005) (70)
- Partial differential equations of Sobolev-Galpern type (1969) (65)
- Pseudo-Parabolic Partial Differential Equations (1968) (63)
- Micro-Structure Models of Diffusion in Fissured Media* (1991) (57)
- TWO-SCALE CONVERGENCE OF A MODEL FOR FLOW IN A PARTIALLY FISSURED MEDIUM (1999) (56)
- Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type (1975) (52)
- The narrow fracture approximation by channeled flow (2010) (50)
- Single Phase Flow in Partially Fissured Media (1997) (45)
- The sobolev equation, i (1975) (43)
- Homogenization of a pseudoparabolic system (2009) (41)
- Diffusion in Fissured Media (1985) (40)
- Interface approximation of Darcy flow in a narrow channel (2012) (38)
- A Nonlinear Parabolic-Sobolev Equation (1975) (38)
- Sobolev equations for nonlinear dispersive systems (1978) (37)
- A Hyperbolic Stefan Problem (1987) (36)
- Diffusion in poro‐plastic media (2004) (34)
- Single‐phase flow in composite poroelastic media (2002) (33)
- Multiscale elliptic-parabolic systems for flow and transport (2007) (33)
- Distributed Microstructure Models of Porous Media (1993) (31)
- Partially saturated flow in a poroelastic medium (2001) (30)
- Microstructure models of porous media (1996) (30)
- Double-diffusion models from a highly-heterogeneous medium☆ (2004) (30)
- Convergence rates of ergodic limits for semigroups and cosine functions (1978) (29)
- A Nonlinear Pseudoparabolic Diffusion Equation (1985) (27)
- Nonlinear Degenerate Evolution Equations in Mixed Formulation (2010) (25)
- Degenerate parabolic initial-boundary value problems (1979) (24)
- A Free-Boundary Problem for a Degenerate Parabolic System (1983) (23)
- A Darcy–Brinkman model of fractures in porous media (2016) (23)
- Well-Posed Problems for a Partial Differential Equation of Order $2m + 1$ (1970) (20)
- Weak solutions of nonlinear evolution equations of Sobolev-Galpern type (1972) (20)
- A transport model with adsorption hysteresis (1998) (20)
- A PSEUDO-PARABOLIC VARIATIONAL INEQUALITY AND STEFAN PROBLEM (1982) (20)
- Diffusion models with microstructure (1991) (18)
- Plasticity Models and Nonlinear Semigroups (1997) (17)
- Mathematical formulation of the stefan problem (1982) (16)
- Microstructure Diffusion Models with Secondary Flux (1995) (16)
- Fluid flow in a layered medium (1994) (15)
- Regularization and Approximation of Second Order Evolution Equations (1976) (15)
- A singular quasilinear diffusion equation in $L^{1}$ (1984) (15)
- Asymptotic behavior of solutions of pseudo-parabolic partial differential equations (1971) (14)
- DIFFUSION IN DEFORMING POROUS MEDIA (2002) (13)
- On two-phase Stefan problem arising from a microwave heating process (2006) (13)
- A distributed RC network model with dielectric loss (1986) (13)
- LOCAL REGULARITY OF SOLUTIONS OF SOBOLEV- GALPERN PARTIAL DIFFERENTIAL EQUATIONS (1970) (13)
- Parabolic PDE With Hysteresis (1996) (12)
- Local regularity, boundary values and maximum principles for pseudoparabolic equations (1983) (12)
- Diffusion in deformable media (2002) (11)
- Singular nonlinear evolution equations (1980) (11)
- Evolution of phase transitions in methane hydrate (2014) (11)
- A diffusion system for fluid in fractured media (1990) (10)
- Dynamic plasticity models (1998) (9)
- Homogenization of the layered medium equation (1989) (9)
- Elliptic-parabolic equations with hysteresis boundary conditions (1995) (9)
- A regularization-stabilization technique for nonlinear conservation equation computations (1988) (9)
- Semilinear parabolic equations with Preisach hysteresis (1994) (9)
- Advection of methane in the hydrate zone: model, analysis and examples (2014) (8)
- Diffusion of a single-phase fluid through a general deterministic partially-fissured medium (2014) (8)
- Semilinear degenerate parabolic systems and distributed capacitance models (1994) (7)
- NUMERICAL UPSCALED MODEL OF TRANSPORT WITH NON-SEPARATED SCALE (2010) (7)
- The Super-Stefan problem (1995) (7)
- An approximate scalar conservation law from dynamics of gas absorption (1990) (5)
- Equations with operators forming a right angle. (1973) (5)
- Di usion in poro-plastic media (2004) (5)
- Flow and transport when scales are not separated: Numerical analysis and simulations of micro- and macro-models (2015) (5)
- Diffusion with prescribed convection in fissured media (1988) (5)
- Distributed Capacitance Mictostructure in Conductors (1994) (5)
- Continuity of maximal monotone sets in Banach space (1974) (4)
- VIBRATION OF A SHAPE MEMORY ALLOY WIRE (2000) (4)
- Variational theory and approximation of boundary value problems (1985) (4)
- PARTIALLY SATURATED FLOW IN A COMPOSITE POROELASTIC MEDIUM (2002) (4)
- ABSORPTION-DELAY MODELS OF HEAT TRANSPORT (2003) (3)
- Distributed systems of {PDE} in Hilbert space (1993) (3)
- Thin-film capacitance models (2001) (3)
- Poro-Visco-Elastic Compaction in Sedimentary Basins (2018) (3)
- Convergence of Diffusion with Concentrating Capacity (1989) (2)
- A GREEN's FORMULA FOR WEAK SOLUTIONS OF VARIATIONAL PROBLEMS (1979) (2)
- HOMOGENIZATION OF SECONDARY-FLUX MODELS OF PARTIALLY FISSURED MEDIA (2008) (2)
- Analysis and Approximation of Microstructure Models (2012) (2)
- Approximation of Scalar Conservation Law with Hysteresis (2020) (2)
- A PRIORI ERROR ESTIMATES FOR APPROXIMATION OF PARABOLIC BOUNDARY VALUE PROBLEMS (1975) (2)
- Biot-pressure system with unilateral displacement constraints (2021) (2)
- Nonlinear evolution problems (2013) (1)
- The regularized layered medium equation (1995) (1)
- WELL-POSEDNESS OF A FULLY COUPLED THERMO-CHEMO-POROELASTIC SYSTEM WITH APPLICATIONS TO PETROLEUM ROCK MECHANICS (2017) (1)
- Approximation of Hysteresis Functional (2020) (1)
- MODEL EQUATIONS FOR NONLINEAR DISPERSIVE SYSTEMS (1978) (1)
- COUPLED SYSTEMS OF MECHANICS (2019) (1)
- Approximation of Nonlinear Evolution Systems (Joseph W. Jerome) (1987) (0)
- Linear problems…an Introduction (2013) (0)
- RESEARCH ARTICLE Homogenization of a Pseudoparabolic System (2008) (0)
- Numerical Upscaled Model of Transport in Multiscale Porous Media (2010) (0)
- Project Modeling, Analysis and Simulation of Multiscale Preferential Flow (2012) (0)
- SATURATED FLOW IN A POROELASTIC MEDIUM (0)
- Modeling, Analysis and Simulation of Multiscale Preferential Flow - 8/05-8/10 - Final Report (2012) (0)
- A Distributed RC Network Model with (1986) (0)
- MODELING, ANALYSIS AND SIMULATION OF MULTISCALE NONLINEAR SYSTEMS (2008) (0)
- THE STOKES SYSTEM (2015) (0)
- PORO-VISCOELASTIC COMPACTION IN SEDIMENTARY (2018) (0)
- Nonlinear stationary problems (2013) (0)
- Accretive operators and nonlinear Cauchy problems (2013) (0)
- The solution of boundary-value problems in ordinary differential equations employing iterative differential analyzer equipment (1965) (0)
- CONVEX ANALYSIS & PDE (2019) (0)
- Regularization and Approximation of a Class of Evolution Problems in Applied Mathematics (1991) (0)
- A partially saturated flow model for a composite poroelastic medium (2020) (0)
- The Fissured Medium Equation (2020) (0)
- SINGLE PHASE FLOW IN PARTIALLY FISSURED (0)
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