Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws

Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws

In this paper we answer some open questions concerning totally degenerate systems of conservation laws. We study the augmented Born-Infeld system, which is the Born-Infeld model augmented by two additional conservations laws. This system is a nice example of totally degenerate system of conserva...

Full description

Bibliographic Details
Main Authors:	Wladimir Neves, Denis Serre
Format:	Article
Language:	English
Published:	Texas State University 2005-11-01
Series:	Electronic Journal of Differential Equations
Subjects:	Conservation laws Cauchy problem totally degenerated systems ill-posed.
Online Access:	http://ejde.math.txstate.edu/Volumes/2005/124/abstr.html

Similar Items

Degenerate Cauchy numbers of the third kind
by: Sung-Soo Pyo, et al.
Published: (2018-02-01)

Optimal regularization method for ill-posed Cauchy problems
by: Nadjib Boussetila, et al.
Published: (2006-11-01)

On the Cauchy problem for a degenerate parabolic differential equation
by: Ahmed El-Fiky
Published: (1998-01-01)

Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem
by: Murat A. Sultanov, et al.
Published: (2018-01-01)

Fourier Truncation Regularization Method for a Three-Dimensional Cauchy Problem of the Modified Helmholtz Equation with Perturbed Wave Number
by: Fan Yang, et al.
Published: (2019-08-01)

L2-well-posed Cauchy problem for fourth-order dispersive equations on the line
by: Shigeo Tarama
Published: (2011-12-01)

Remark on well-posedness and ill-posedness for the KdV equation
by: Takamori Kato
Published: (2010-10-01)

Local ill-posedness of the 1D Zakharov system
by: Justin Holmer
Published: (2007-02-01)

Modified quasi-boundary value method for Cauchy problems of elliptic equations with variable coefficients
by: Hongwu Zhang
Published: (2011-08-01)

On use of inhomogeneous media for elimination of ill-posedness in the inverse problem
by: Feroj, Md Jamil
Published: (2014)

Regularization of the Cauchy Problem for the System of Elasticity Theory in R up (m)
by: Makhmudov O. I., et al.
Published: (2005)

Generalized Tikhonov Method and Convergence Estimate for the Cauchy Problem of Modified Helmholtz Equation with Nonhomogeneous Dirichlet and Neumann Datum
by: Hongwu Zhang, et al.
Published: (2019-07-01)

On the Cauchy problem for a class of degenerate hyperbolic equations
by: Krüger, Matthias
Published: (2018)

A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind
by: Hye Kyung Kim, et al.
Published: (2020-06-01)

Multiplication operators and its ill-posedness properties
by: G.Fleischer,
Published: (1998)

H^infinity well-posedness for degenerate p-evolution operators
by: Herrmann, Torsten
Published: (2012)

On a final value problem for parabolic equation on the sphere with linear and nonlinear source
by: Nguyen Duc Phuong, et al.
Published: (2020-08-01)

Two types of hypergeometric degenerate Cauchy numbers
by: Komatsu Takao
Published: (2020-05-01)

Fourier truncation method for an inverse source problem for space-time fractional diffusion equation
by: Nguyen Huy Tuan, et al.
Published: (2017-05-01)

WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE CHERN-SIMONS-DIRAC SYSTEM IN TWO
by: Okamoto, Mamoru
Published: (2014)

Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
by: Qi Feng, et al.
Published: (2021-08-01)

Uniformizable Cauchy spaces
by: Eva Lowen-Colebunders
Published: (1982-01-01)

Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion
by: Junfang Wang, et al.
Published: (2017-12-01)

Some Identities of Degenerate Bell Polynomials
by: Taekyun Kim, et al.
Published: (2020-01-01)

Ordered Cauchy spaces
by: D. C. Kent, et al.
Published: (1985-01-01)

Multiplication operators and its ill-posedness properties
by: G.Fleischer
Published: (1998)

A method for solving ill-posed Robin-Cauchy problems for second-order elliptic equations in multi-dimensional cylindrical domains
by: Berikbol T. Torebek
Published: (2016-09-01)

The Cauchy-Riemann equation with support conditions on domains with Levi-degenerate boundaries
by: Brinkschulte, Judith
Published: (2002)

The regularity series of a Cauchy space
by: Darrell C. Kent
Published: (1984-01-01)

The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian
by: Massimo Cicognani
Published: (2014-12-01)

Truncated Fractional-Order Total Variation for Image Denoising under Cauchy Noise
by: Hao, B., et al.
Published: (2022)

ON INVARIANCE OF THE GENERALIZED CAUCHY-RIEMANN EQUATIONS
by: N. A. Shvemler, et al.
Published: (2015-11-01)

Completion functors for Cauchy spaces
by: R. Fric, et al.
Published: (1979-01-01)

Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces
by: Beth M. Campbell Hetrick
Published: (2010-09-01)

A completion functor for Cauchy groups
by: R. Fric, et al.
Published: (1981-01-01)

A modified Tikhonov regularization method based on Hermite expansion for solving the Cauchy problem of the Laplace equation
by: Zhao Zhenyu, et al.
Published: (2020-12-01)

Non-Convex High Order Total Variation With Overlapping Group Sparsity Denoising Model Under Cauchy Noise
by: Jianguang Zhu, et al.
Published: (2021-01-01)

Integral complexa: teorema de Cauchy, fórmula integral de Cauchy e aplicações
by: Oliveira, Saulo Henrique de
Published: (2015)

On hypergeometric Cauchy numbers of higher grade
by: Takao Komatsu, et al.
Published: (2021-04-01)

Equivalence Classes of Cauchy Sequences of Rational Numbers
by: Darnell, Linda Jane
Published: (1965)