Luc C. Tartar

Luc C. Tartar's AcademicInfluence.com Rankings

Luc C. Tartar

Mathematics

#6415

World Rank

#8887

Historical Rank

Measure Theory

#1332

World Rank

#1677

Historical Rank

mathematics Degrees

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Mathematics

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Luc C. Tartar'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

Compensated compactness and applications to partial differential equations (1979) (1574)
An Introduction to Sobolev Spaces and Interpolation Spaces (2007) (738)
H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations (1990) (504)
The Compensated Compactness Method Applied to Systems of Conservation Laws (1983) (369)
On a dirichlet problem with a singular nonlinearity (1977) (361)
The General Theory of Homogenization: A Personalized Introduction (2009) (341)
The General Theory of Homogenization (2010) (288)
Some relations between nonexpansive and order preserving mappings (1980) (254)
Topics in nonlinear analysis (1978) (244)
The gradient theory of phase transitions for systems with two potential wells (1989) (180)
Optimal Shape Design, Lecture Notes in Maths. 1740, A. Cellina & A. Ornelas eds, 47{156, Springer, 2000. An Introduction to the Homogenization Method in Optimal Design (2000) (132)
Imbedding theorems of Sobolev spaces into Lorentz spaces (1998) (121)
Some Remarks on Separately Convex Functions (1993) (114)
Estimation de Coefficients Homogenises (1979) (99)
Memory effects and homogenization (1990) (91)
An Introduction to Navier-Stokes Equation and Oceanography (2006) (91)
Calculus of Variations and Homogenization (1997) (88)
Nonlocal Effects Induced by Homogenization (1989) (84)
Beyond young measures (1995) (63)
Remarks on optimal design problems (1994) (62)
Some Existence Theorems for Semilinear Hyperbolic Systems in One Space Variable. (1981) (59)
On Mathematical Tools for Studying Partial Differential Equations of Continuum Physics: H-Measures and Young Measures (1992) (54)
Mathematical Tools for Studying Oscillations and Concentrations: from Young Measures to H-Measures and Their Variants (2002) (53)
Une nouvelle methode de resolution d’equations aux derivees partielles non lineaires (1978) (51)
Remarks on oscillations and Stokes' equation (1985) (50)
Optimal Shape Design (2000) (46)
Fourth-order moments of nonnegative measures on S2 and applications (1995) (38)
Homogenization of monotone operators in divergence form with x-dependent multivalued graphs (2009) (38)
On a turbulent system with unbounded Eddy viscosities (2003) (37)
Remarks on Homogenization (1986) (36)
Weak limits of semilinear hyperbolic systems with oscillating data (1985) (30)
On the Control of Coefficients in Partial Differential Equations (1997) (27)
On a Volume‐Constrained Variational Problem (1999) (25)
On an Equation From the Theory of Field Dislocation Mechanics (2011) (24)
Remarks on generators of analytic semigroups (1979) (20)
Non Linear Constitutive Relations and Homogenization (1978) (19)
From Hyperbolic Systems to Kinetic Theory (2008) (18)
Estimations of Homogenized Coefficients (1997) (17)
Remarks on some interpolation spaces (1994) (16)
Oscillations and asymptotic behavior for two semilinear hyperbolic systems (1987) (16)
From Hyperbolic Systems to Kinetic Theory: A Personalized Quest (2008) (16)
On the solvability of the equation div $u = f$ in $L^{1}$ and in $C^{0}$ (2003) (16)
Non-Classical Continuum Mechanics: The Appearance of Oscillations in Optimization Problems (1987) (15)
and regularity of the solution of a steady transport equation (2010) (13)
What is homogenization (2007) (11)
H-Measures and Applications (1990) (11)
Why Do I Write (2009) (10)
Remarks on the homogenization method in optimal design problems (1995) (9)
Discontinuities and Oscillations (1987) (9)
The displacement problem for elastic crystals (1989) (8)
A model problem (2006) (7)
Multi-scales H-measures (2014) (7)
Nonlinear Partial Differential Equations Using Compactness. (1976) (7)
Homogenization and hyperbolicity (1997) (6)
Compensated Compactness with More Geometry (2015) (4)
The compensated compactness method (2006) (4)
Evolution Equations in Infinite Dimensions. (1976) (4)
SIMILARITY CLASSES OF AFFINE MAPS (1997) (3)
The appearance of memory effects for a conservative system (2018) (2)
On a Homogenization Effect for a Two-Dimensional Diffusion Plus Transport Equation (1950) (2)
Equations with Order Preserving Properties. (1976) (2)
Does radiotherapy have an impact on the thickness of the puborectal muscle? (2015) (2)
Linear Control Theory and Riccati Equations. (1976) (1)
A Lemma for Studying Boundary Layers (2009) (1)
The Div–Curl Lemma (2009) (1)
Approximation of H-measures (1997) (1)
Variational Methods and Monotonicity. (1975) (1)
Conservation of mass and momentum (2006) (1)
Sobolev spaces IV (2006) (0)
The 1-D Scalar Case: the E-Conditions of Lax and of Oleinik (2008) (0)
Time-dependent solutions III (2006) (0)
Sobolev spaces I (2006) (0)
G-convergence and H-convergence (2006) (0)
The Boltzmann Equation (2008) (0)
Wave Front Sets, H-Measures (2009) (0)
The Burgers Equation and the 1-D Scalar Case (2008) (0)
Holes with Dirichlet Conditions (2009) (0)
Nonlocal effects II (2006) (0)
Hopf's Formulation of the E-Condition of Oleinik (2008) (0)
Discrete Velocity Models (2008) (0)
H-Measures and Bounds on Effective Coefficients (2009) (0)
A Model in Hydrodynamics (2009) (0)
Basic physical laws and units (2006) (0)
The Illner–Shinbrot and the Hamdache Existence Theorems (2008) (0)
The Two-Body Problem (2008) (0)
Nonlinear effects, shocks (2006) (0)
Radon Measures; the Law of Large Numbers (2008) (0)
A Framework with Differential Forms (2009) (0)
Time-dependent solutions I (2006) (0)
Physical Implications of Homogenization (2009) (0)
Compactness by Integration (2008) (0)
Fourier Transform; the Asymptotic Behaviour for the Heat Equation (2008) (0)
Oscillating Solutions: the Carleman Model (2008) (0)
Relations Between Young Measures and H-Measures (2009) (0)
The Hashin–Shtrikman Construction (2009) (0)
The Burgers Equation: Small Perturbations; the Heat Equation (2008) (0)
One-dimensional homogenization, Young measures (2006) (0)
Small-Amplitude Homogenization (2009) (0)
Sobolev spaces II (2006) (0)
Asymptotic Estimates for the Broadwell and the Carleman Models (2008) (0)
The Burgers Equation: Special Solutions (2008) (0)
Properties of H-Convergence (2009) (0)
Holes with Neumann Conditions (2009) (0)
Conservations in ocean and atmosphere (2006) (0)
A General Finite-Dimensional Model with Characteristic Speed 1/ε (2008) (0)
Existence of smooth solutions (2006) (0)
Systems Satisfying My Condition (S) (2008) (0)
Sobolev spaces III (2006) (0)
A 2-D Generalization; the Perron–Frobenius Theory (2008) (0)
Hyperbolic Systems: Riemann Invariants, Rarefaction Waves (2008) (0)
PEM volume 35 issue 3 Cover and Back matter (1992) (0)
Functions Attached to Geometries (2009) (0)
The Hilbert Expansion (2008) (0)
H-Measures and “Idealized Particles” (2008) (0)
An Academic Question of Jacques-Louis Lions (2009) (0)
Hyperbolic Systems: Contact Discontinuities, Shocks (2008) (0)
Boundary conditions in linearized elasticity (2006) (0)
Generalized Invariant Regions; the Varadhan Estimate (2008) (0)
Oscillating Solutions; the 2-D Broadwell Model (2008) (0)
The Mimura–Nishida and the Crandall–Tartar Existence Theorems (2008) (0)
Size of singular sets (2006) (0)
A 1-D Model with Characteristic Speed 1/ε (2008) (0)
Local estimates, compensated integrability (2006) (0)
The Carleman Model: Asymptotic Behaviour (2008) (0)
Other Nonlocal Effects (2009) (0)
Sobolev embedding theorem (2006) (0)
Brouwer's topological degree (2006) (0)
Questioning Physics; from Classical Particles to Balance Laws (2008) (0)
Compensated compactness II (2006) (0)
Confocal Ellipsoids and Spheres (2009) (0)
Cauchy: from Masslets and Springs to 2-D Linearized Elasticity (2008) (0)
Equation for the vorticity (2006) (0)
A Useful Generalization by François Murat (2009) (0)
Balance Laws; What Are Forces? (2008) (0)
Homogenization of an Elliptic Equation (2009) (0)
Problems in Dimension N = 2 (2009) (0)
PEM volume 37 issue 3 Cover and Back matter (1994) (0)
H-Measures and Propagation Effects (2017) (0)
Radiation balance of atmosphere (2006) (0)
H-measures and variants (2006) (0)
Time-dependent solutions II (2006) (0)
Variants of H-Measures (2009) (0)
CONTINUITY OF CALDERÓN-ZYGMUND OPERATORS (2007) (0)
About two types of microstructures adapted to heat evacuation and elastic stress: snow flakes and quasi-crystals (2012) (0)
Fixed point theorems (2006) (0)
Homogenization of Monotone Operators (2009) (0)
D. Bernoulli: from Masslets and Springs to the 1-D Wave Equation (2008) (0)
A Personalized Overview of Homogenization II (2009) (0)
Conservation of energy (2006) (0)
One-dimensional wave equation (2006) (0)
Homogenization of Laminated Materials (2009) (0)
Particles and continuum mechanics (2006) (0)
Correctors in Nonlinear Homogenization (2009) (0)
Laminations Again, and Again (2009) (0)
Bounds on Effective Coefficients (2009) (0)
Sobolev spaces V (2006) (0)
Uniqueness in 2 dimensions (2006) (0)
Towards Better Mathematical Models for Physics (2019) (0)
Abbreviations and Mathematical Notation (2009) (0)

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Luc C. Tartar's Academic­Influence.com Rankings

Why Is Luc C. Tartar Influential?

Luc C. Tartar's Published Works

Published Works

Luc C. Tartar's AcademicInfluence.com Rankings