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Solutions with Substance Decay in Pressureless Gas Dynamics Systems

Mathematical Notes, 2020-10, Vol.108 (3-4), p.465-468

Rykov, Yu. G.

2020

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes, 2021-11, Vol.110 (5-6), p.972-975

Rykov, Yu. G.

2021

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On the Systems of Conservation Laws and on a New Way To Construct for them Neural Networks Algorithms

Lobachevskii journal of mathematics, 2021-11, Vol.42 (11), p.2645-2653

Rykov, Yu. G.

2021

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On Model Two-Dimensional Pressureless Gas Flows: Variational Description and Numerical Algorithm Based on Adhesion Dynamics

Computational mathematics and mathematical physics, 2023-04, Vol.63 (4), p.606-622

2023

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Non-Conventional and Conventional Solutions for One-Dimensional Pressureless Gas

Lobachevskii journal of mathematics, 2021-11, Vol.42 (11), p.2615-2625

2021

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Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case

Mathematical Notes, 2022-10, Vol.112 (3-4), p.495-504

2022

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Variational principle for multidimensional conservation laws and pressureless media

Russian mathematical surveys, 2019-12, Vol.74 (6), p.1117-1119

2019

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On the Variational Approach to Systems of Quasilinear Conservation Laws

Proceedings of the Steklov Institute of Mathematics, 2018-05, Vol.301 (1), p.213-227

Rykov, Yu. G.

2018

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Detailed Description of the Evolution Mechanism for Singularities in the System of Pressureless Gas Dynamics

Doklady. Mathematics, 2019, Vol.99 (1), p.79-82

2019

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On the closeness of trajectories for model quasi-gasdynamic equations

Doklady. Mathematics, 2016-09, Vol.94 (2), p.543-546

2016

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Systems of quasilinear conservation laws and algorithmization of variational principles

Computational mathematics and mathematical physics, 2015-09, Vol.55 (9), p.1554-1566

2015

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On Mathematical Aspects of Analyzing the Structure of Complex Systems Using Weighted Digraphs

Lobachevskii journal of mathematics, 2020-11, Vol.41 (11), p.2231-2238

2020

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Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

Communications in mathematical physics, 1996-04, Vol.177 (2), p.349-380

1996

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Modified Godunov Method for Multicomponent Flow Simulation

Journal of physics. Conference series, 2019-06, Vol.1250 (1), p.12006

2019

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Mathematical Aspects of the Concept of Influence in Cognitive Simulations

Scientific and technical information processing, 2022-12, Vol.49 (5), p.350-355

2022

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Simulation of Multicomponent Gas Flows Using Double-Flux Method

Mathematical models and computer simulations, 2021, Vol.13 (3), p.453-465

2021

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On a form of the system of porous media flow equations convenient for the construction of parallel algorithms

Doklady. Mathematics, 2015-09, Vol.92 (2), p.606-608

Rykov, Yu. G.

2015

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On the generalization of conservation law theory to certain degenerate parabolic systems of equations describing processes of compressible two-phase multicomponent filtration

Mathematical Notes, 2011-02, Vol.89 (1-2), p.291-303

Rykov, Yu. G.

2011

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On the interaction of shock waves in two-dimensional isobaric media

Russian mathematical surveys, 2023, Vol.78 (4), p.779-781

Rykov, Yuri Germanovich

2023

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On the evolution of the hierarchy of shock waves in a two-dimensional isobaric medium

Izvestiya. Mathematics, 2024, Vol.88 (2), p.284-312

Rykov, Yuri Germanovich

2024

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Diffeomorphic structure of evolution equations

Journal of geometry and physics, 2024-08, Vol.202, p.105234, Article 105234

2024

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Numerical analysis of a new model for the processes of the one-dimensional case of metal crystallization

Mathematical models and computer simulations, 2011-08, Vol.3 (4), p.468-483

2011

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Numerical analysis of a model of metal solidification, 2D case

Mathematical models and computer simulations, 2012-07, Vol.4 (4), p.440-453

2012

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On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory

Russian journal of mathematical physics, 2006-03, Vol.13 (1), p.4-12

2006

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A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field

Doklady. Mathematics, 2006-07, Vol.74 (1), p.477-479

2006

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Solutions with Substance Decay in Pressureless Gas Dynamics Systems

Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

On the Systems of Conservation Laws and on a New Way To Construct for them Neural Networks Algorithms

On Model Two-Dimensional Pressureless Gas Flows: Variational Description and Numerical Algorithm Based on Adhesion Dynamics

Non-Conventional and Conventional Solutions for One-Dimensional Pressureless Gas

Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case

Variational principle for multidimensional conservation laws and pressureless media

On the Variational Approach to Systems of Quasilinear Conservation Laws

Detailed Description of the Evolution Mechanism for Singularities in the System of Pressureless Gas Dynamics

On the closeness of trajectories for model quasi-gasdynamic equations

Systems of quasilinear conservation laws and algorithmization of variational principles

On Mathematical Aspects of Analyzing the Structure of Complex Systems Using Weighted Digraphs

Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

Modified Godunov Method for Multicomponent Flow Simulation

Mathematical Aspects of the Concept of Influence in Cognitive Simulations

Simulation of Multicomponent Gas Flows Using Double-Flux Method

On a form of the system of porous media flow equations convenient for the construction of parallel algorithms

On the generalization of conservation law theory to certain degenerate parabolic systems of equations describing processes of compressible two-phase multicomponent filtration

On the interaction of shock waves in two-dimensional isobaric media

On the evolution of the hierarchy of shock waves in a two-dimensional isobaric medium

Diffeomorphic structure of evolution equations

Numerical analysis of a new model for the processes of the one-dimensional case of metal crystallization

Numerical analysis of a model of metal solidification, 2D case

On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory

A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field

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