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.
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.
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
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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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)
On rate-independent hysteresis models
Alexander Mielke;Florian Theil.
Nodea-nonlinear Differential Equations and Applications (2004)
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)
Alexander Mielke;Tomáš Roubíček.
Existence results for a class of rate-independent material models with nonconvex elastic energies
Gilles Francfort;Alexander Mielke.
Crelle's Journal (2006)
Existence results for energetic models for rate-independent systems
Andreas Mainik;Alexander Mielke.
Calculus of Variations and Partial Differential Equations (2005)
A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
Rate-Independent Systems: Theory and Application
Alexander Mielke;Tomáš Roubíček.
Reduction of quasilinear elliptic equations in cylindrical domains with applications
Mathematical Methods in The Applied Sciences (1988)
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)
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