Pavel Grinfeld | Academic Influence

Pavel Grinfeld's AcademicInfluence.com Rankings

Pavel Grinfeld

Mathematics

#539

World Rank

#1040

Historical Rank

#241

USA Rank

Measure Theory

#1573

World Rank

#1951

Historical Rank

#522

USA Rank

mathematics Degrees

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Mathematics

Pavel Grinfeld's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Pavel Grinfeld Influential?

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According to Wikipedia, Pavel Grinfeld is an American mathematician and associate professor of Applied Mathematics at Drexel University working on problems in moving surfaces in applied mathematics , geometry, physics, and engineering.

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Pavel Grinfeld'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

Introduction to Tensor Analysis and the Calculus of Moving Surfaces (2013) (98)
Hadamard’s Formula Inside and Out (2010) (57)
Hamiltonian Dynamic Equations for Fluid Films (2010) (31)
Exact Nonlinear Equations for Fluid Films and Proper Adaptations of Conservation Theorems From Classical Hydrodynamics (2009) (26)
Variable thickness model for fluid films under large displacement. (2010) (22)
A Better Calculus of Moving Surfaces (2012) (21)
The Laplacian eigenvalues of a polygon (2004) (18)
Small Oscillations of a Soap Bubble (2012) (14)
Laplace eigenvalues on regular polygons: A series in 1/N (2012) (14)
Morphological instability of liquid metallic nuclei condensing on charged inhomogeneities. (2001) (13)
Motion of the mantle in the translational modes of the Earth and Mercury (2005) (12)
A Variational Approach to Electrostatics of Polarizable Heterogeneous Substances (2015) (11)
Morphological instability of the dielectric Thomson nuclei (2010) (10)
A way to compute the gravitational potential for near-spherical geometries (2006) (10)
Instability of the 2S electron bubbles. (2003) (10)
The effect of phase transformations at the inner core boundary on the Slichter modes (2010) (9)
Thermodynamic Aspects of Equilibrium Shape and Growth of Crystalline Films with Electromechanical Interaction (2006) (8)
An unexpected paradox in the Kelvin ponderomotive force theory (2015) (6)
Towards thermodynamics of elastic electric conductors (2001) (6)
Shape Optimization and Electron Bubbles (2009) (4)
Toward the Landau–Lifshitz version of the Thomson electrostatics theorem (2015) (3)
The Stress Driven Rearrangement Instabilities in Electronic Materials and in Helium Crystals (2004) (2)
Viscous Equations of Fluid Film Dynamics (2010) (2)
Stress Driven Rearrangement Instability of Crystalline Films with Electromechanical Interaction (2006) (2)
Determinants and the Levi-Civita Symbol (2013) (1)
Generalization of Hadamardʼs Laplace Eigenvalue Formula to Deforming Manifolds (2009) (1)
A symbolic computation system for the calculus of moving surfaces (2011) (1)
The Cardinal Aleph-tensor for Anisotropic Polarizable Solids (2019) (1)
Circuit Models of Pyroelectric Charger (2019) (1)
Clausius‐Clapeyron relations for an evaporating solid conductor (2010) (1)
A term rewriting system for the calculus of moving surfaces (2013) (1)
Why Tensor Calculus (2013) (1)
A Geometric Construction for the Evaluation of Mean Curvature (2011) (1)
Magneto-Solid Mechanics and the Aleph Tensor (2020) (1)
Weak Wavefront Solutions of Maxwell’s Equations in Conducting Media (2022) (1)
A Proposed Experiment for the Verification of Thomson's Nucleation Theory (2011) (1)
The Calculus of Moving Surfaces and Laplace Eigenvalues on an Ellipse with Low Eccentricity (2010) (1)
Static, quasi-static, and dynamic variational approaches in electromagnetism (2016) (1)
Modeling of stability of electrostatic and magnetostatic systems: Analysis based on Gibbs methodology (2017) (1)
The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma: 1. General Conditions of Equilibrium and Stability for One-Component Charged Gas (2018) (1)
Total gravitational energy of a slightly ellipsoidal trilayer planet (2006) (0)
Morphological Instability of Phase Interface between Pyroelectric Domains (2023) (0)
Observation and Simulation of Stress Driven Instability on Solid Helium Surface (2006) (0)
Gravitational collapse and self-oscillations of two-phase celestial bodies (2018) (0)
Consistent Electrostatics of Crystalline Conductors (2018) (0)
Phenomenological mechanochemistry of damage in electromagnetic fields (2018) (0)
The Foundations of the Calculus of Moving Surfaces (2013) (0)
Rules of the Game (2013) (0)
The Use of Geometric Quantities in the Tensor Description of a Euclidean Space (2021) (0)
A Vector Tensor Calculus Description of a Euclidean Space (2023) (0)
Elements of Linear Algebra in Tensor Notation (2013) (0)
Dynamics and Shock Waves in Media with Second Order Phase Transformations (2015) (0)
Second energy variation in heterogeneous systems with electrostatic and magnetostatic interaction (2016) (0)
The Covariant Surface Derivative (2013) (0)
Toward a Phenomenological Model of Laser-Driven Patterning of Solid Deformable Substances (2019) (0)
Accurate Computation of Laplace Eigenvalues by an Analytical Level Set Method (2012) (0)
Variational Method in Thermodynamics of Two-Component Charged Gas (2021) (0)
A Rigorous Framework for the Landau and Lifshitz Approach to Thomson Electrostatics (2016) (0)
Equilibrium shape of ferrofluid in the uniform external field (2017) (0)
Boundary Charge Layer and Current for Spherical Inclusion in Conducting System (2021) (0)
Extension to Arbitrary Tensors (2013) (0)
Instability of the 2 S Electron Bubbles (2005) (0)
Finite kinetics effects in the problems of oscillations of two-phase liquid heterogeneous systems (2018) (0)
Thermodynamically Consistent Analysis of Magnetocaloric Effects (2020) (0)
Second-Order Discontinuities for Simple and Double Layers (2021) (0)
The Tensor Description of Embedded Surfaces (2013) (0)
Applications of the Gunther Problem in Multiscale Systems (2007) (0)
Integration and Gauss’s Theorem (2013) (0)
The Hugoniot Relationships for Nonlinear Elastic Substances (2015) (0)
The Tensor Description of Euclidean Spaces (2013) (0)
Exact Solution for Equilibrium Configurations of Two-Component Plasma Confined between Parallel Plates (2022) (0)
Coordinate Systems and the Role of Tensor Calculus (2013) (0)
Finite kinetics effects in the problems of oscillations of two-phase liquid heterogeneous systems (2018) (0)
The Tensor Property (2013) (0)
Gravitational Collapse of Small Cores in Two-Phase Celestial Bodies (2013) (0)
Calculus of moving surfaces and singular wave-fronts in ideal magnetohydrodynamics (2016) (0)
Applications of the Calculus of Moving Surfaces (2013) (0)
Damage Fingers in Brittle Transparent Ceramics (2007) (0)
Shock Fronts in Non-Polar Electro-Conducting Media (2022) (0)
The Gibbs Variational Method in Thermodynamics of Equilibrium Plasma. 2: The Equation of State for Plasma (2018) (0)
Theory and Practice of Mathematics and Computer Science Vol. 4 (2020) (0)
Electroconducting Sphere inside Unbounded Isotropic Matrix for Alegra Verification (2020) (0)
Change of Coordinates (2013) (0)
The Gibbs method in thermodynamics of heterogeneous substances carrying electric charges (2016) (0)

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What Schools Are Affiliated With Pavel Grinfeld?

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