Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Non-reciprocal wave propagation in modulated elastic metamaterialsTime-reversal symmetry for elastic wave propagation breaks down in a resonant mass-in-mass lattice whose inner-stiffness is weakly modulated in space and in time in a wave-like fashion. Specifically, one-way wave transmission, conversion and amplification as well as unidirectional wave blocking are demonstrated analytically through an asymptotic analysis based on coupled mode theory and nu... ...
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 473 Số 2202 - Trang 20170188 - 2017
Conformal mapping of some non-harmonic functions in transport theory
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 460 Số 2045 - Trang 1433-1452 - 2004
A theorem on the existence of trace-form generalized entropiesAn analytic technique is proposed, which allows to generate many new examples of entropic functionals generalizing the standard Boltzmann–Gibbs entropy. Our approach is based on the existence of a group-theoretical structure, which is intimately related with the notion of entropy, as clarified in recent work of the author. The new entropies proposed satisfy the first three Shannon–Khinchin... ...
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 471 Số 2183 - Trang 20150165 - 2015
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental testsWe evaluate a new depth-averaged mathematical model that is designed to simulate all stages of debris-flow motion, from initiation to deposition. A companion paper shows how the model's five governing equations describe simultaneous evolution of flow thickness, solid volume fraction, basal pore-fluid pressure and two components of flow momentum. Each equation contains a source term that re... ...
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 470 Số 2170 - Trang 20130820 - 2014
Water vapour, sonoluminescence and sonochemistry
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 456 Số 1999 - Trang 1685-1709 - 2000
Simulating quantum systems on a quantum computer
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 454 Số 1969 - Trang 313-322 - 1998
The size effect in foams and its theoretical and numerical investigation
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 458 Số 2028 - Trang 2869-2883 - 2002
Driving forces and boundary conditions in continuum dislocation mechanics
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 459 Số 2034 - Trang 1343-1363 - 2003
A new look at the atomic level virial stress: on continuum-molecular system equivalence
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 459 Số 2037 - Trang 2347-2392 - 2003
Sparse identification of nonlinear dynamics for model predictive control in the low-data limitData-driven discovery of dynamics via machine learning is pushing the frontiers of modelling and control efforts, providing a tremendous opportunity to extend the reach of model predictive control (MPC). However, many leading methods in machine learning, such as neural networks (NN), require large volumes of training data, may not be interpretable, do not easily include known constraints a... ...
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 474 Số 2219 - Trang 20180335 - 2018
Tổng số: 75
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