Irregular shock waves formation as continuation of analytic solutions
Analysis of PDEs
2014-01-03 v1
Authors:
M. Colombeau
Abstract
This paper is devoted to the blow-up of analytic solutions with the emergence of irregular solutions.
Keywords
Cite
@article{arxiv.1401.0285,
title = {Irregular shock waves formation as continuation of analytic solutions},
author = {M. Colombeau},
journal= {arXiv preprint arXiv:1401.0285},
year = {2014}
}
Comments
2 figures
Related papers
View all related →
Mathematical Physics · Physics
Remarks on the formation and decay of multidimensional shock waves
V. G. Danilov
2007-05-23
Pattern Formation and Solitons · Physics
Inelastic soliton processes generated by the perturbed KdV equation
Yair Zarmi
2007-10-16
Pattern Formation and Solitons · Physics
A Normal Form for the Onset of Collapse: the Prototypical Example of the Nonlinear Schrodinger Equation
S. J. Chapman, M. E. Kavousanakis, I. G. Kevrekidis, P. G. Kevrekidis
2021-10-13
Analysis of PDEs · Mathematics
On blow-up shock waves for a nonlinear PDE associated with Euler equations
V. A. Galaktionov
2009-02-12
Probability · Mathematics
Blowup solutions for stochastic parabolic equations
G. Lv, J. Wei
2019-07-03
Analysis of PDEs · Mathematics
The blow-up phenomena and exponential decay of solutions for a three-component Camassa-Holm equations
Xinglong Wu
2014-12-23
Analysis of PDEs · Mathematics
Blow-up solutions to 3D Euler are hydrodynamically unstable
Alexis Vasseur, Misha Vishik
2020-07-15
Analysis of PDEs · Mathematics
Blow-up of solutions to relaxed compressible Navier-Stokes equations in divergence form
Johannes Bärlin
2022-02-14
Analysis of PDEs · Mathematics
Blow-up for the wave equation with nonlinear source and boundary damping terms
Alessio Fiscella, Enzo Vitillaro
2020-04-13
Analysis of PDEs · Mathematics
Blowups and longtime developments with near-boundary mass accretions of irregularly-shaped Euler--Poisson dominated molecular clouds in astrophysics
Chao Liu
2023-07-10
Fluid Dynamics · Physics
Instability of the shock wave/ sonic surface interaction
Alexander Kuzmin
2015-03-31
Analysis of PDEs · Mathematics
Blowup behavior of strongly perturbed wave equations
Roland Donninger, David Wallauch
2020-06-09
Analysis of PDEs · Mathematics
Some remarks on Blow-up of solutions to Nakao's problem
Wenhui Chen, Michael Reissig
2019-04-11
Analysis of PDEs · Mathematics
Classification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficients
Asma Azaiez, Hatem Zaag
2021-07-12
Analysis of PDEs · Mathematics
Shock waves and compactons for fifth-order nonlinear dispersion equaitons
V. A. Galaktionov
2009-02-11
Analysis of PDEs · Mathematics
Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up waves
V. A. Galaktionov, S. I. Pohozaev
2009-02-03
Analysis of PDEs · Mathematics
Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities
Aleks Jevnikar
2017-04-28
Analysis of PDEs · Mathematics
Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential
Masahito Ohta, Takahiro Yamaguchi
2018-04-04
Mathematical Physics · Physics
Blow-up of the non-equivariant 2+1 dimensional wave map
Jörg Frauendiener, Ralf Peter
2012-05-15
Analysis of PDEs · Mathematics
Some comments concerning the blow-up of solutions of the exponential reaction-diffusion equation
Aappo Pulkkinen
2011-02-25
Analysis of PDEs · Mathematics
Persistence of generalized roll-waves under viscous perturbation
Valérie Le Blanc
2010-05-02
Physics and Society · Physics
Analytical Approach to Continuous and Intermittent Bottleneck Flows
Dirk Helbing, Anders Johansson, Joachim Mathiesen, Mogens H. Jensen +1
2007-05-23
Analysis of PDEs · Mathematics
Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential
Paschalis Karageorgis
2007-05-23
Analysis of PDEs · Mathematics
Blow up for nonlinear wave-type equations with perturbed derivatives
F. A. Chiarello, G. Girardi, S. Lucente
2025-08-12
Analysis of PDEs · Mathematics
Weak Asymptotics of Shock Wave Formation Process
V. Danilov, D. Mitrovic
2007-05-23