Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs

Type: Article

Publication Date: 2012-01-01

Citations: 35

DOI: https://doi.org/10.1137/110831386

Locations

  • SIAM Journal on Numerical Analysis - View

Similar Works

Action Title Year Authors
+ Weak and Measure-valued Solutions to Evolutionary PDEs 2019 Josef MĂĄlek
J. Nečas
Mirko Rokyta
Michael RĆŻĆŸička
+ A particle method for non-local advection–selection–mutation equations 2024 Frank Ernesto Alvarez
Jules Guilberteau
+ A particle method for non-local advection-selection-mutation equations 2023 Frank Ernesto Alvarez
Jules Guilberteau
+ PDF Chat Convergence analysis of the vortex blob method for the $b$-equation 2013 Yong Duan
Jian‐Guo Liu
+ Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations 2015 Yuming Qin
Xin Liu
Taige Wang
+ Evolutionary Systems and the Navier–Stokes Equations 2016 Grzegorz Ɓukaszewicz
Piotr Kalita
+ Existence, Uniqueness and Decay Properties of Strong Solutions to an Evolutionary System of MHD Type in $$\mathbb{R}^3$$ 2006 Yi Li
Chunshan Zhao
+ PDF Chat On evolutionary problems with a-priori bounded gradients 2023 Miroslav Bulíček
David HruĆĄka
Josef MĂĄlek
+ Evolutionary Equations are $G$-compact 2023 KreĆĄimir Burazin
Marko Erceg
Marcus Waurick
+ Weak and Measure-valued Solutions to Evolutionary PDEs 1996 Josef MĂĄlek
J. Nečas
M. Rokyta
Michael RĆŻĆŸička
+ Weak and measure-valued solutions to evolutionary PDEs 1997
+ Traveling Wave Analysis of Partial Differential Equations: Numerical and Analytical Methods with Matlab and Maple 2011 Graham W. Griffiths
William E. Schiesser
+ Uniqueness of bounded solutions to aggregation equations by optimal transport methods 2010 José A. Carrillo
JesĂșs Rosado
+ PDF Chat Weak and measure-valued solutions to evolutionary PDE<scp>s</scp>, by J. MĂĄlek, J. Nečas, M. Rokyta, and M. RuĆŸička 1997 Jiongmin Yong
+ On evolutionary problems with a-priori bounded gradients 2021 Miroslav Bulíček
David HruĆĄka
Josef MĂĄlek
+ Approximations of kinetic equations of swarm formation: Convergence and exact solutions 2021 MirosƂaw Lachowicz
Henryk LeszczyƄski
Krzysztof Topolski
+ Uniform global attractors for the nonautonomous 3D Navier-Stokes equations 2012 Alexey Cheskidov
Songsong Lu
+ Uniform global attractors for the nonautonomous 3D Navier–Stokes equations 2014 Alexey Cheskidov
Songsong Lu
+ PDF Chat On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions 2011 Miroslav Bulíček
Roger Lewandowski
Josef MĂĄlek
+ Uniqueness of solutions of evolutionary differential equations 1979 S. G. Lobanov

Works That Cite This (32)

Action Title Year Authors
+ Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel. 2021 Piotr Gwiazda
BƂaĆŒej Miasojedow
Jakub Skrzeczkowski
Zuzanna SzymaƄska
+ PDF Chat Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel 2022 Piotr Gwiazda
BƂaĆŒej Miasojedow
Jakub Skrzeczkowski
Zuzanna SzymaƄska
+ Global Convergence of a Sticky Particle Method for the Modified Camassa--Holm Equation 2017 Yu Gao
Jian‐Guo Liu
+ PDF Chat A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION 2020 JosĂ© A. Carrillo
Katrin Grunert
Helge Holden
+ Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation 2019 G. López Lagomasino
S. Medina Peralta
Jacek Szmigielski
+ Multipeakons of a two-component modified Camassa–Holm equation and the relation with the finite Kac–van Moerbeke lattice 2016 Xiang‐Ke Chang
Xing‐Biao Hu
Jacek Szmigielski
+ PDF Chat Elastic collisions among peakon solutions for the Camassa–Holm equation 2014 Alina Chertock
Jian‐Guo Liu
Terrance Pendleton
+ PDF Chat Stability of stationary solutions for nonintegrable peakon equations 2013 Andrew N. W. Hone
Stéphane Lafortune
+ PDF Chat Dynamics of conservative peakons in a system of Popowicz 2018 Laura E. Barnes
Andrew N. W. Hone
+ A dispersive regularization for the modified Camassa-Holm equation 2017 Yu Gao
Lei Li
Jian‐Guo Liu