Zobrazeno 1 - 10
of 1 262
pro vyhledávání: '"35Q60"'
Autor:
Robert, Tristan
In this work, we study the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. Under minimal assumptions on the occupation measure of this coefficient, we show that for the large class o
Externí odkaz:
http://arxiv.org/abs/2410.23038
Autor:
Bernini, Federico, d'Avenia, Pietro
We introduce a fractional magnetic pseudorelativistic operator for a general fractional order $s\in(0,1)$. First we define a suitable functional setting and we prove some fundamental properties. Then we show the behavior of the operator as $s \nearro
Externí odkaz:
http://arxiv.org/abs/2410.22426
We show an abstract critical point theorem about existence of infinitely many critical orbits to strongly indefinite functionals with sign-changing nonlinear part defined on a dislocation space with a discrete group action. We apply the abstract resu
Externí odkaz:
http://arxiv.org/abs/2410.13315
Autor:
Yang, Yisong
Exact finite-energy solutions to the nonlinear governing equations of the Born-Infeld theory of electrodynamics, describing continuous distributions of electric, magnetic, and dyonic charge sources, in both classical and generalized settings, are con
Externí odkaz:
http://arxiv.org/abs/2410.09858
Publikováno v:
Applied Mathematics Letters, Volume 154, 2024, 109090, ISSN 0893-9659
Over the course of the last decade, there has been a significant level of interest in the analysis of Keller-Segel models incorporating tensorial flux. Despite this interest, the question of whether finite-time blowup solutions exist remains a topic
Externí odkaz:
http://arxiv.org/abs/2409.13619
This work considers the Fr\'echet derivative of the idealized forward map of two-dimensional electrical impedance tomography, i.e., the linear operator that maps a perturbation of the coefficient in the conductivity equation over a bounded two-dimens
Externí odkaz:
http://arxiv.org/abs/2409.10671
This paper is devoted to studying the well-posedness, (conditional) conservation of magnetic helicity, inviscid limit and asymptotic stability of the generalized Navier-Stokes-Maxwell equations (NSM) under the Hall effect in two and three dimensions.
Externí odkaz:
http://arxiv.org/abs/2409.07802
Autor:
Rozanova, Olga S.
The spatial dimensions 1 and 4 play an exceptional role for radial solutions of the pressureless repulsive Euler-Poisson equations. Namely, for any spatial dimension except 1 and 4, any nontrivial solution of the Cauchy problem blows up in a finite t
Externí odkaz:
http://arxiv.org/abs/2408.13794
Autor:
Müller, Andreas
Publikováno v:
Computer Aided Geometric Design, Volume 113, 2024, 102366, ISSN 0167-8396
Whilst Paul de Casteljau is now famous for his fundamental algorithm of curve and surface approximation, little is known about his other findings. This article offers an insight into his results in geometry, algebra and number theory. Related to geom
Externí odkaz:
http://arxiv.org/abs/2408.13125
Autor:
Alejo, Miguel Á., Corcho, Adán J.
In this work, a rigorous proof of the nonexistence of breather solutions for NLS equations is presented. By using suitable virial functionals, we are able to characterize the nonexistence of breather solutions, different from standing waves, by only
Externí odkaz:
http://arxiv.org/abs/2408.09862