[BOOK][B] Superlinear parabolic problems

P Quittner, P Souplet - 2019 - Springer
Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

The Stokes equation in the Lp-setting: well-posedness and regularity properties

MG Hieber, J Saal - Handbook of mathematical analysis …, 2018 - waseda.elsevierpure.com
抄録 This article discusses the Stokes equation in various classes of domains Ω CR n within
the L p-setting for 1≤ p≤∞ from the point of view of evolution equations. Classical as well …

Harmonic analysis tools for solving the incompressible Navier–Stokes equations

M Cannone - Handbook of mathematical fluid dynamics, 2005 - Elsevier
Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …

On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half‐plane

Y Maekawa - Communications on Pure and Applied …, 2014 - Wiley Online Library
We consider the Navier‐Stokes equations for viscous incompressible flows in the half‐plane
under the no‐slip boundary condition. By using the vorticity formulation we prove the local …

Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows

AC de Courcel, M Rosenzweig, S Serfaty - arxiv preprint arxiv …, 2023 - ems.press
We consider conservative and gradient flows for N-particle Riesz energies with meanfield
scaling on the torus Td, for d 1, and with thermal noise of McKean–Vlasov type. We prove …

Uniqueness of blowups and Łojasiewicz inequalities

TH Colding, WP Minicozzi - Annals of Mathematics, 2015 - JSTOR
Once one knows that singularities occur, one naturally wonders what the singularities are
like. For minimal varieties the first answer, already known to Federer-Fleming in 1959, is that …

Global stability of vortex solutions of the two-dimensional Navier-Stokes equation

T Gallay, CE Wayne - Communications in mathematical physics, 2005 - Springer
Both experimental and numerical studies of fluid motion indicate that initially localized
regions of vorticity tend to evolve into isolated vortices and that these vortices then serve as …

[PDF][PDF] Local function spaces

H Triebel - Heat and Navier-Stokes Equations, EMS Tracts in …, 2013 - mat.ucm.es
Local function spaces Page 1 Local function spaces Hans Triebel University of Jena
Santiago de Compostela July 2011 1 / 19 Page 2 1. The roots 1.1. Merging lines 1.2. The …

Self-shrinkers with a rotational symmetry

S Kleene, N Møller - Transactions of the American Mathematical Society, 2014 - ams.org
In this paper we present a new family of non-compact properly embedded, self-shrinking,
asymptotically conical, positive mean curvature ends $\Sigma^ n\subseteq\mathbb {R}^{n+ …

Approximate analytical and numerical solutions to the damped pendulum oscillator: Newton–Raphson and moving boundary methods

W Albalawi, AH Salas, SA El-Tantawy… - Journal of Taibah …, 2021 - Taylor & Francis
In this work, some new approximate solutions to the damped pendulum equation are
obtained. In addition, the Newton–Raphson method (NRM), moving boundary method, and …