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- Alexander Mielke

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
66
Citations
11,967
246
World Ranking
259
National Ranking
13

- 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.

- 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)

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.

- Mathematical analysis (52.90%)
- Dissipation (21.16%)
- Classical mechanics (16.72%)

- Mathematical analysis (52.90%)
- Dissipation (21.16%)
- Statistical physics (13.65%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Non-convex potentials and microstructures in finite-strain plasticity

Carsten Carstensen;Klaus Hackl;Alexander Mielke.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(2002)**

400 Citations

On rate-independent hysteresis models

Alexander Mielke;Florian Theil.

Nodea-nonlinear Differential Equations and Applications **(2004)**

368 Citations

A Variational Formulation of Rate-Independent Phase Transformations Using an Extremum Principle

Alexander Mielke;Florian Theil;Valery I. Levitas.

Archive for Rational Mechanics and Analysis **(2002)**

354 Citations

Rate-Independent Systems

Alexander Mielke;Tomáš Roubíček.

**(2015)**

272 Citations

Existence results for a class of rate-independent material models with nonconvex elastic energies

Gilles Francfort;Alexander Mielke.

Crelle's Journal **(2006)**

249 Citations

Existence results for energetic models for rate-independent systems

Andreas Mainik;Alexander Mielke.

Calculus of Variations and Partial Differential Equations **(2005)**

246 Citations

A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

Alexander Mielke.

Nonlinearity **(2011)**

239 Citations

Rate-Independent Systems: Theory and Application

Alexander Mielke;Tomáš Roubíček.

**(2015)**

239 Citations

Reduction of quasilinear elliptic equations in cylindrical domains with applications

Alexander Mielke.

Mathematical Methods in The Applied Sciences **(1988)**

234 Citations

The validity of modulation equations for extended systems with cubic nonlinearities

Pius Kirrmann;Guido Schneider;Alexander Mielke.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1992)**

229 Citations

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