Results 81 to 90 of about 15,216,637 (286)
Well-posedness for the fifth order KdV equation [PDF]
, 2011 In this paper, we establish the well-posedness for the Cauchy problem of the fifth order KdV equation with low regularity data. The nonlinear term has more derivatives than can be recovered by the smoothing effect, which implies that the iteration ...
Kato, Takamori
core
Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density
, 2013 In this paper, we prove the global existence and uniqueness of solution to d-dimensional (for $d=2,3$) incompressible inhomogeneous Navier-Stokes equations with initial density being bounded from above and below by some positive constants, and with ...
Paicu, Marius +2 more
core +3 more sources
Well-posedness for the Chern-Simons-Schrödinger equations
AIMS Mathematics, 2022 First, we prove uniform-in-$ \epsilon $ regularity estimates of local strong solutions to the Chern-Simons-Schrödinger equations in $ \mathbb{R}^2 $. Here $ \epsilon $ is the dispersion coefficient.
Jishan Fan, Tohru Ozawa
doaj +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces
, 2009 In this paper, we prove the local well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions.
C. Fefferman +23 more
core +1 more source
Advances in Nonlinear Analysis, 2019 The main goal of this work is to investigate the initial boundary value problem of nonlinear wave equation with weak and strong damping terms and logarithmic term at three different initial energy levels, i.e., subcritical energy E(0) < d, critical ...
W. Lian, Runzhang Xu
semanticscholar +1 more source
Local Well-Posedness for Relaxational Fluid Vesicle Dynamics
, 2018 We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument.
Köhne, Matthias, Lengeler, Daniel
core +1 more source
Abstract and Applied Analysis, 2014 The purpose of this paper is introduce several types of Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints.
Phan Quoc Khanh +2 more
doaj +1 more source
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Characterization of well-posedness of piecewise linear systems [PDF]
, 1998 One of the basic issues in the study of hybrid systems is the well-posedness (existence and uniqueness of solutions) problem of discontinuous dynamical systems. This paper addresses this problem for a class of piecewise-linear discontinuous systems under
Imura, J.-I., Schaft, A.J. van der
core +2 more sources