What is she best known for?
The fields of study she is best known for:
- Mathematical analysis
- Quantum mechanics
- Geometry
The scientist’s investigation covers issues in Mathematical analysis, Omega, Integral representation, Combinatorics and Regular polygon.
Her biological study spans a wide range of topics, including Thin film, Convex function and Anisotropy.
In her study, Singular perturbation and Vector-valued function is strongly linked to Sequence, which falls under the umbrella field of Anisotropy.
Her study in the field of Nabla symbol also crosses realms of Linear growth.
Multiple integral is closely connected to Relaxation in her research, which is encompassed under the umbrella topic of Integral representation.
Her Regular polygon research is multidisciplinary, relying on both Closed set, Singularity, Applied mathematics, Variable and Lipschitz continuity.
Her most cited work include:
- Modern Methods in the Calculus of Variations: L^p Spaces (283 citations)
- Degree Theory in Analysis and Applications (235 citations)
- A -Quasiconvexity. lower semicontinuity, and young measures (229 citations)
What are the main themes of her work throughout her whole career to date?
Irene Fonseca mainly investigates Mathematical analysis, Pure mathematics, Omega, Condensed matter physics and Phase transition.
Her study in Mathematical analysis is interdisciplinary in nature, drawing from both Relaxation and Homogenization.
Her work in Relaxation tackles topics such as Integral representation which are related to areas like Relaxation.
Her research integrates issues of Second derivative, Class, Boundary and Space in her study of Pure mathematics.
Irene Fonseca specializes in Omega, namely Nabla symbol.
Her Condensed matter physics study which covers Surface energy that intersects with Limit, Thin film, Geometry, Complex system and Calculus of variations.
She most often published in these fields:
- Mathematical analysis (50.92%)
- Pure mathematics (14.11%)
- Omega (12.88%)
What were the highlights of her more recent work (between 2013-2021)?
- Mathematical analysis (50.92%)
- Homogenization (9.20%)
- Anisotropy (7.98%)
In recent papers she was focusing on the following fields of study:
Her primary scientific interests are in Mathematical analysis, Homogenization, Anisotropy, Omega and Pure mathematics.
Irene Fonseca conducts interdisciplinary study in the fields of Mathematical analysis and Order through her research.
Her Homogenization research includes elements of Phase transition, Differential operator and Constant coefficients.
Her studies deal with areas such as Development, Term, Condensed matter physics and Surface energy as well as Anisotropy.
The Omega study which covers Multiple integral that intersects with Partial derivative, Vector field and Curl.
Her research investigates the link between Pure mathematics and topics such as Scale that cross with problems in Compact space and Control theory.
Between 2013 and 2021, her most popular works were:
- DYNAMICS FOR SYSTEMS OF SCREW DISLOCATIONS (26 citations)
- Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (21 citations)
- Regularity in Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces (20 citations)
In her most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
Her main research concerns Mathematical analysis, Epitaxy, Homogenization, First order and Variational model.
Irene Fonseca combines Mathematical analysis and Stability in her studies.
Her work deals with themes such as Nonlinear bending, Nonlinear elasticity, Nonlinear system and Plate theory, which intersect with Homogenization.
As part of one scientific family, Irene Fonseca deals mainly with the area of Variational model, narrowing it down to issues related to the Condensed matter physics, and often Elastic energy and Surface energy.
Irene Fonseca focuses mostly in the field of Omega, narrowing it down to topics relating to Mathematical physics and, in certain cases, Continuum, Banach space, Weak solution, Variational inequality and Quantum mechanics.
Her Anisotropy study combines topics from a wide range of disciplines, such as Zero, Phase transition, Development and Dirichlet boundary condition.
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