Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation

Pavel M. Lushnikov, Denis A. Silantyev, Michael Siegel

Type: Article

Publication Date: 2021-08-13

Citations: 7

DOI: https://doi.org/10.1007/s00332-021-09737-x

View Publication

Download PDF

Locations

Journal of Nonlinear Science - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains	2022	David M. Ambrose Pavel M. Lushnikov M. H. Siegel Denis A. Silantyev
+ PDF Chat	Singularity formation and global Well-posedness for the generalized Constantin–Lax–Majda equation with dissipation	2020	Jiajie Chen
+ PDF Chat	Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation	2024	Denis A. Silantyev Pavel M. Lushnikov M. H. Siegel David M. Ambrose
+	Self-similar finite-time blowups with smooth profiles of the generalized Constantin-Lax-Majda model	2023	De Huang Xiang Qin Xiuyuan Wang Dongyi Wei
+ PDF Chat	The Singularity Formation on the Coupled Burgers–Constantin–Lax–Majda System with the Nonlocal Term	2020	Linrui Li Shu Wang
+	Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation	2024	M. Fasondini John R. King J. A. C. Weideman
+	Self-Similar Finite-Time Blowups with Smooth Profiles of the Generalized Constantin–Lax–Majda Model	2024	De Huang Xiang Qin Xiuyuan Wang Dongyi Wei
+	On stationary solutions and inviscid limits for generalized Constantin–Lax–Majda equation with O(1) forcing	2020	In‐Jee Jeong Sun-Chul Kim
+	Long-time asymptotics for a complex cubic Camassa–Holm equation	2024	Hongyi Zhang Yufeng Zhang Binlu Feng
+ PDF Chat	Complex Singularity Analysis for a Nonlinear PDE	2006	Ovidiu Costin S. Tanveer
+ PDF Chat	Near critical, self-similar, blow-up solutions of the generalised Korteweg–de Vries equation: Asymptotics and computations	2019	Pierluigi Amodio Chris Budd Othmar Koch Vivi Rottschäfer Giuseppina Settanni Ewa Weinmüller
+	Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation	2023	M. Fasondini John R. King J. A. C. Weideman
+	Existence, continuation and dynamics of solutions for the generalized 0-Holm-Staley equation	2020	Priscila Leal da Silva Igor Leite Freire
+	Non-analytic singular continuations of complex analytic dynamical systems.	2012	Brett David Bozyk
+ PDF Chat	Growth of solutions of linear differential equations at a logarithmic singularity	1982	Alan Adolphson Bernard Dwork Steven Sperber
+	Zero Energy Self-Similar Solutions Describing Singularity Formation In The Nonlinear Schrodinger Equation In Dimension N=3	2022	William C. Troy
+ PDF Chat	On the Slightly Perturbed De Gregorio Model on $$S^1$$	2021	Jiajie Chen
+ PDF Chat	Formation of singularities of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations	2022	Sen Ming Han Yang Xiongmei Fan
+	Self-similar blow-up solutions in the generalized Korteweg-de Vries equation: Spectral analysis, normal form and asymptotics	2023	S. Jonathan Chapman Michail E. Kavousanakis E. G. Charalampidis Ioannis G. Kevrekidis P. G. Kevrekidis
+ PDF Chat	Finite point blowup for the critical generalized Korteweg-de Vries equation	2022	Yvan Martel Didier Pilod

Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations	2022	Jiajie Chen Thomas Y. Hou De Huang
+ PDF Chat	Collapse Versus Blow-Up and Global Existence in the Generalized Constantin–Lax–Majda Equation	2021	Pavel M. Lushnikov Denis A. Silantyev Michael Siegel
+ PDF Chat	On the Slightly Perturbed De Gregorio Model on $$S^1$$	2021	Jiajie Chen
+	Self-similar solutions for the Muskat equation	2021	Eduardo García-Juárez Javier Gómez-Serrano Huy Q. Nguyen Benoît Pausader
+	On the regularity of the De Gregorio model for the 3D Euler equations	2021	Jiajie Chen
+	Self-similar finite-time blowups with smooth profiles of the generalized Constantin-Lax-Majda model	2023	De Huang Xiang Qin Xiuyuan Wang Dongyi Wei
+ PDF Chat	Blowup analysis for a quasi-exact 1D model of 3D Euler and Navier–Stokes	2024	Thomas Y. Hou Yixuan Wang

Works Cited by This (37)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+ PDF Chat	Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations	2004	Dmitry E. Pelinovsky Yury Stepanyants
+	Some Explicit Runge”Kutta Methods of High Order	1972	G. J. Cooper J. H. Verner
+	Diffusion, attraction and collapse	1999	Michael P. Brenner Peter Constantin Leo P. Kadanoff Alain Schenkel Shankar C. Venkataramani
+ PDF Chat	Dispersion-managed soliton in a strong dispersion map limit	2001	Pavel M. Lushnikov
+	On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid	2005	Hisashi Okamoto Koji Ohkitani
+	Tracing complex singularities with spectral methods	1983	Catherine Sulem P. L. Sulem H. Frisch
+ PDF Chat	On a generalization of the Constantin–Lax–Majda equation	2008	Hisashi Okamoto Takashi Sakajo Marcus Wunsch
+	The three-dimensional Euler equations: Where do we stand?	2007	John Gibbon
+	Nonlinear aspects of chemotaxis	1981	Stephen Childress J. K. Percus