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WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks. [PDF]
Sci RepWang X, Yi S, Gu H, Xu J, Xu W.
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Polyacid Solutions as an Analogue of a Neural Network. [PDF]
Polymers (Basel)Kabdushev S +5 more
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Error Compensation without a Time Penalty: Robust Spin-Lock-Induced Crossing in Solution NMR. [PDF]
J Phys Chem LettSabba M, Bengs C, Heramun UD, Levitt MH.
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WEAK SOLUTIONS FOR WEAK SINGULARITIES
International Journal of Modern Physics A, 2002We revisit the problem of the development of singularities in the gravitational collapse of an inhomogeneous dust sphere. As shown by Yodzis et al1, naked singularities may occur at finite radius where shells of dust cross one another. These singularities are gravitationally weak 2, and it has been claimed that at these singularities, the metric may ...
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Weak Sharp Solutions of Variational Inequalities
SIAM Journal on Optimization, 1998Summary: We give sufficient conditions for the finite convergence of descent algorithms for solving variational inequalities involving generalized monotone mappings.
Patrice Marcotte, Daoli Zhu
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Weak Solutions for Obstacle Problems with Weak Monotonicity
Studia Scientiarum Mathematicarum Hungarica, 2021This paper is concerned with the existence of weak solutions for obstacle problems. By means of the Young measure theory and a theorem of Kinderlehrer and Stampacchia, we obtain the needed result.
Farah Balaadich, Elhoussine Azroul
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