Results 11 to 20 of about 2,839,272 (285)

A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities

Advances in Nonlinear Analysis, 2015
We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
doaj   +1 more source

Motion by crystalline-like mean curvature: A survey

Bulletin of Mathematical Sciences, 2022
We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
Yoshikazu Giga, Norbert Požár
doaj   +1 more source

High sensitivity tests of the Pauli Exclusion Principle with VIP2 [PDF]

, 2015
The Pauli Exclusion Principle is one of the most fundamental rules of nature and represents a pillar of modern physics. According to many observations the Pauli Exclusion Principle must be extremely well fulfilled.
Bartalucci, S., Bertolucci, S., Berucci, C., Bragadireanu, M., Cargnelli, M., Clozza, A., Curceanu, C., Di Matteo, S., Doce, O. Vazquez, Egger, J. -P., Guaraldo, C., Iliescu, M., Ishiwatari, T., Laubenstein, M., Marton, J., Milotti, E., Pichler, A., Pietreanu, D., Piscicchia, K., Ponta, T., Scordo, A., Shi, H., Sirghi, D. L., Sirghi, F., Sperandio, L., Widmann, E., Zmeskal, J.   +26 more
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Exponential Synchronization of Partially Coupled Heterogeneous Networks With Time-Delays and Heterogeneous Impulsess

IEEE Access, 2021
This work focuses on exponential synchronization for a class of partially coupled heterogeneous networks with time-delays and heterogeneous impulses. The synchronization targets are selected as the common equilibrium solution and the average trajectory ...
Guizhen Feng, Jinde Cao, Jian Ding, Yishu Wang   +3 more
doaj   +1 more source

Existence and uniqueness for a crystalline mean curvature flow [PDF]

, 2016
An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in any dimension and for arbitrary, possibly unbounded, initial closed sets.
Almeida, Almgren, Almgren, Ambrosio, Ambrosio, Ambrosio, Angenent, Angenent, Anzellotti, Barles, Bellettini, Bellettini, Bellettini, Brakke, Caselles, Chambolle, Chambolle, Chambolle, Chambolle, Chambolle, Chen, Crandall, Ecker, Eto, Evans, Evans, Evans, Evans, Fonseca, Giga, Giga, Giga, Giga, Giga, Giga, Grayson, Gurtin, Ilmanen, Ishii, Luckhaus, Mignot, Moll, Osher, Rockafellar, Soner, Taylor   +45 more
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Asymptotic behavior for cross coupled parabolic equations

Journal of Hebei University of Science and Technology, 2017
In order to better describe the heat transfer process of three kinds of mixed substances, namely the reaction of the reactants in the three chemical reactions, a class of three variable cross coupling with non parabolic equations of the whole existence ...
Yingzhen XUE
doaj   +1 more source

Some results about semilinear elliptic problems on half-spaces

Mathematics in Engineering, 2020
We prove some new results about the growth, the monotonicity and the symmetry of (possibly) unbounded non-negative solutions of −∆u = f (u) on half-spaces, where f is merely a locally Lipschitz continuous function.
Alberto Farina
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Genetic algorithm search for stent design improvements [PDF]

, 2002
Copyright @ 2002 SpringerThis paper presents an optimisation process for finding improved stent design using Genetic Algorithms. An optimisation criterion based on dissipated power is used which fits with the accepted principle that arterial flows follow
Atherton, MA, Collins, MW, Tesch, K
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On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation

, 2017
In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
core   +1 more source

A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space

Advances in Nonlinear Analysis, 2014
We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
doaj   +1 more source