Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems

В. Г. Данилов, V. P. Maslov, V. M. Shelkovich

Type: Article

Publication Date: 1998-01-01

Citations: 31

DOI: https://doi.org/10.1007/bf02557106

View Publication

Locations

Theoretical and Mathematical Physics - View

Similar Works

Action	Title	Year	Authors
+	Analysis of singularities for one-dimensional quasilinear hyperbolic systems	2009	Wen-Rong Dai
+	FORMATION OF SINGULARITIES FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY	2005	Xu Yumei
+	FORMATION OF SINGULARITIES FOR A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEM	2002	Libin Wang
+	Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristic with Constant Multiplicity	2019	孟洁张
+ PDF Chat	Isolated singularities of solutions of quasi-linear equations	1965	James Serrin
+	Singularities of systems of arbitrary equations	2000	A. D. Bruno
+	Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems	2020	Ilya Aleksandrovich Bogaevsky Dmitry Vasilievich Tunitsky
+	Blow Up and Singularities of the Solutions of Homogeneous Quasilinear Hyperbolic Systems in the Plane	1998	Petar Popivanov Angela Slavova
+	Isolated singularities for semilinear elliptic systems with Hardy potential	2023	Maria Fărcăşeanu
+	Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations	1990	Boris Khesin
+	Singularities of Elementary Solutions of Hyperbolic Equations with Constant Coefficients	1981	Mikio Tsuji
+	Formation of singularities for certain hyperbolic systems in one space dimension	2002	Renato Manfrin
+ PDF Chat	Singularities of solutions of the Cauchy problem for hyperbolic systems in Gevrey classes	1985	Seiiehiro WAKABAYASHI
+	ISOLATED SINGULARITIES OF SOLUTIONS OF LINEAR	2016	Elliptic Equations James Serrin Hans F. Weinberger
+	Elementary solutions and propagation of singularities for hyperbolic operators with involutive characteristics	1982	Takao Kobayashi
+	Nonisolated singularities of solutions to a quasilinear elliptic system	1988	Jan Malý
+	Development of singularities for nonlinear hyperbolic systems with periodic data	1996	Ferruccio Colombini Daniele Del Santo
+ PDF Chat	Removable singularities of solutions of systems of linear differential equations	1975	Takahiro Kawai
+	Isolated Singularities of Solutions to Quasilinear Elliptic Equations	2007	Vitali Liskevich Igor I. Skrypnik
+	Development of singularities for a single quasi-linear equation	1991	K. H. Kwoni Sun-Hee Yoo D. Kim

Works That Cite This (29)

Action	Title	Year	Authors
+ PDF Chat	Singular traveling wave solutions for Boussinesq equation with power law nonlinearity and dual dispersion	2019	Shan Zheng Zhengyong Ouyang Kuilin Wu
+	Interaction of kinks for semilinear wave equations with a small parameter	2006	Дмитрий Александрович Кулагин G. A. Omel’yanov
+ PDF Chat	Singular Solutions to Equations of Fluid Mechanics and Dynamics Near a Hurricane’s Eye	2021	Maximilian F. Hasler
+	Dynamics of propagation and interaction of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>δ</mml:mi></mml:math>-shock waves in conservation law systems	2005	В. Г. Данилов V. M. Shelkovich
+	Mathematics and the Trajectories of Typhoons	2006	V. P. Maslov
+	Creation, Annihilation, and Interaction of Delta-Waves in Nonlinear Models: a Distributional Product Approach	2020	C. O. R. Sarrico A. Paiva
+	None	2000	S. Yu. Dobrokhotov
+	Functionals with values in the non‐archimedean field of laurent series and their applications to the equations of elasticity theory. I 1	2002	M. Radyna
+ PDF Chat	New Distributional Global Solutions for the Hunter-Saxton Equation	2014	C. O. R. Sarrico
+	<i>p</i>‐Adic Colombeau‐Egorov type theory of generalized functions	2004	Sergio Albeverio Andrei Yu. Khrennikov V. M. Shelkovich

Works Cited by This (17)

Action	Title	Year	Authors
+	p-Adic Valued Distributions in Mathematical Physics	1994	Andrei Khrennikov
+	Multiplication of Distributions and Applications to Partial Differential Equations	1992	Michael Oberguggenberger
+	Mathematical Modelling of Heat and Mass Transfer Processes	1995	В. Г. Данилов V. P. Maslov К. А. Волосов
+	Elementary Introduction to New Generalized Functions	1985	J. F. Colombeau
+	Algebra of three-dimensional generalized functions	1979	Yu. M. Shirokov
+	Associative algebra of generalized functions closed with respect to differentiation and integration	1981	G. K. Tolokonnikov Yu. M. Shirokov
+	Associative and commutative distribution algebra with multipliers, and generalized solutions of nonlinear equations	1995	V. M. Shelkovich
+ PDF Chat	Singularities of solutions of nonlinear hyperbolic systems of conservation laws	1975	Ronald J. DiPerna
+	The Theory of Distribution	2017	F. Y. Edgeworth
+	Asymptotic soliton-form solutions of equations with small dispersion	1981	V. P. Maslov Georgii A. Omel’yanov