A. I. Aptekarev, Yu. G. Rykov, “Variational principle for multidimensional conservation laws and pressureless media”, Russian Math. Surveys, 74:6 (2019), 1117

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Russian Mathematical Surveys, 2019, Volume 74, Issue 6, Pages 1117–1119
DOI: https://doi.org/10.1070/RM9918 (Mi rm9918)

This article is cited in 9 scientific papers (total in 9 papers)

Brief Communications

Variational principle for multidimensional conservation laws and pressureless media

A. I. Aptekarev, Yu. G. Rykov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences

English version PDF (369 kB) Citations (9) Russian version article

References:

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DOI: https://doi.org/10.1070/RM9918

Funding agency	Grant number
Russian Science Foundation	19-71-30004
This research was supported by the Russian Science Foundation under grant no. 19-71-30004.

Received: 14.10.2019

Bibliographic databases:

Document Type: Article

MSC: 35L45, 35L60, 35L65

Language: English

Original paper language: Russian

Citation: A. I. Aptekarev, Yu. G. Rykov, “Variational principle for multidimensional conservation laws and pressureless media”, Russian Math. Surveys, 74:6 (2019), 1117–1119

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/rm9918

https://doi.org/10.1070/RM9918

https://www.mathnet.ru/eng/rm/v74/i6/p159

This publication is cited in the following 9 articles:

Yu. G. Rykov, “On the evolution of the hierarchy of shock waves in a two-dimensional isobaric medium”, Izv. Math., 88:2 (2024), 284–312
Yu. G. Rykov, “On the interaction of shock waves in two-dimensional isobaric media”, Russian Math. Surveys, 78:4 (2023), 779–781
N. V. Klyushnev, Yu. G. Rykov, “On model two-dimensional pressureless gas flows: Variational description and numerical algorithm based on adhesion dynamics”, Comput. Math. Math. Phys., 63:4 (2023), 606–622
A. I. Aptekarev, Yu. G. Rykov, “Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case”, Math. Notes, 112:4 (2022), 495–504
Yu. G. Rykov, “Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws”, Math. Notes, 110:6 (2021), 972–975
N. V. Klyushnev, Yu. G. Rykov, “Non-conventional and conventional solutions for one-dimensional pressureless gas”, Lobachevskii J. Math., 42:11 (2021), 2615–2625
Yu. G. Rykov, “On the systems of conservation laws and on a new way to construct for them neural networks algorithms”, Lobachevskii J. Math., 42:11 (2021), 2645–2653
Yu. G. Rykov, “Solutions with Substance Decay in Pressureless Gas Dynamics Systems”, Math. Notes, 108:3 (2020), 465–468
M. A. Lapik, “Dynamics of Supports of Extremal Measures in the Field of a Point Charge”, Math. Notes, 108:5 (2020), 752–755

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	483
Russian version PDF:	50
English version PDF:	30
References:	53
First page:	27

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