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Solvability of an attraction-repulsion chemotaxis Navier-Stokes system with arbitrary porous medium diffusion

open access: yesElectronic Journal of Differential Equations
Yadhavan Karuppusamy   +2 more
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WEAK SOLUTIONS FOR WEAK SINGULARITIES

International Journal of Modern Physics A, 2002
We 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, 1998
Summary: 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, 2021
This 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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Weak Solutions for Semi-Martingales

Canadian Journal of Mathematics, 1981
The fundamental theorem of this paper is stated in Section 8. In this theorem, the stochastic differential equation dX = a(X)dZ is studied when Z is a *-dominated (cf. [15]) Banach space valued process and a is a predictable functional which is continuous for the uniform norm.For such an equation, the existence of a “weak solution” is stated; actually,
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An empirical solution to the puzzle of weakness of will

Synthese, 2018
This paper presents an empirical solution to the puzzle of weakness of will. Specifically, it presents a theory of action, grounded in contemporary cognitive neuroscientific accounts of decision making, that explains the phenomenon of weakness of will without resulting in a puzzle.
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Weak Solutions and Balayage

2021
Weak solutions, of variational inequality type, are introduced. Their defining properties can be equivalently expressed in terms of quadrature identities for subharmonic functions, or in terms of partial balayage. Some versions of inverse balayage are also discussed, this needed as a preparatory step for constructing more general Laplacian evolutions ...
Björn Gustafsson, Yu-Lin Lin
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PageRank as a Weak Tournament Solution

2007
We observe that ranking systems--a theoretical framework for web page ranking and collaborative filtering introduced by Altman and Tennenholtz--and tournament solutions--a well-studied area of social choice theory--are strongly related. This relationship permits a mutual transfer of axioms and solution concepts.
Felix Brandt 0001, Felix A. Fischer
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