What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Geometry
Alexander Mielke mainly focuses on Mathematical analysis, Dissipation, Classical mechanics, Rate independent and Applied mathematics.
His Mathematical analysis study frequently draws connections to adjacent fields such as Elastic energy.
Alexander Mielke interconnects Energy functional, Mesoscopic physics, Shape-memory alloy, Differential inclusion and Microstructure in the investigation of issues within Dissipation.
His Classical mechanics research includes themes of Variational inequality, Mechanics, Reaction–diffusion system and Hamiltonian.
His studies in Applied mathematics integrate themes in fields like Reduction, Regularization and Metric space.
His research investigates the connection between Attractor and topics such as Bounded function that intersect with problems in Dissipative system and Nonlinear system.
His most cited work include:
- Non-convex potentials and microstructures in finite-strain plasticity (292 citations)
- On rate-independent hysteresis models (282 citations)
- A Variational Formulation of Rate-Independent Phase Transformations Using an Extremum Principle (268 citations)
What are the main themes of his work throughout his whole career to date?
Alexander Mielke mainly investigates Mathematical analysis, Dissipation, Classical mechanics, Statistical physics and Nonlinear system.
Alexander Mielke works mostly in the field of Mathematical analysis, limiting it down to topics relating to Finite strain theory and, in certain cases, Plasticity.
He has researched Dissipation in several fields, including Jump, Energy functional, Banach space, Limit and Applied mathematics.
His study in Applied mathematics is interdisciplinary in nature, drawing from both Class, Mathematical optimization and Metric space.
In his study, Discretization is inextricably linked to Quasistatic process, which falls within the broad field of Classical mechanics.
The concepts of his Nonlinear system study are interwoven with issues in Amplitude and Compact space.
He most often published in these fields:
- Mathematical analysis (52.90%)
- Dissipation (21.16%)
- Classical mechanics (16.72%)
What were the highlights of his more recent work (between 2014-2021)?
- Mathematical analysis (52.90%)
- Dissipation (21.16%)
- Statistical physics (13.65%)
In recent papers he was focusing on the following fields of study:
Alexander Mielke spends much of his time researching Mathematical analysis, Dissipation, Statistical physics, Classical mechanics and Energy functional.
His research investigates the connection with Mathematical analysis and areas like Elasticity which intersect with concerns in Elastic energy.
His studies deal with areas such as Discretization, Jump, Limit and Applied mathematics as well as Dissipation.
His work deals with themes such as Kullback–Leibler divergence, Microscopic scale and Nonlinear system, which intersect with Statistical physics.
His Classical mechanics research includes elements of Invariant measure, Finite strain theory, Mathematical structure, Quasistatic process and Hamiltonian.
His research on Energy functional also deals with topics like
- Strong solutions which is related to area like Perturbation and Banach space,
- Plasticity that intertwine with fields like Elasticity.
Between 2014 and 2021, his most popular works were:
- Rate-Independent Systems (158 citations)
- Rate-Independent Systems: Theory and Application (142 citations)
- Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures (113 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Geometry
Alexander Mielke mainly focuses on Mathematical analysis, Dissipation, Classical mechanics, Applied mathematics and Geodesic.
Alexander Mielke studies Mathematical analysis, focusing on Reaction–diffusion system in particular.
The study incorporates disciplines such as Differentiable function, Jump, Limit and Energy functional in addition to Dissipation.
His study focuses on the intersection of Limit and fields such as Quadratic equation with connections in the field of Dissipative system.
His research investigates the connection between Classical mechanics and topics such as Gaussian that intersect with issues in Onsager reciprocal relations and Large deviations theory.
His Geodesic research is multidisciplinary, incorporating perspectives in Space and Metric space.
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