Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front

I. V. Kuznetsov; S. A. Sazhenkov

doi:10.1088/1755-1315/193/1/012037

Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front

I. V. Kuznetsov, S. A. Sazhenkov

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

In the present paper, we derive the kinetic equation and impulsive condition and formulate a class of kinetic solutions to impulsive ultra-parabolic equations. Here ultra-parabolic equations are linked with diffusion processes with inertia (convective heat transfer) on a shock wave front.

Original language	English
Article number	012037
Number of pages	7
Journal	IOP Conference Series: Earth and Environmental Science
Volume	193
Issue number	1
DOIs	https://doi.org/10.1088/1755-1315/193/1/012037
Publication status	Published - 30 Oct 2018
Event	5th All-Russian Conference with International Participation on Polar Mechanics 2018 - Novosibirsk, Akademgorodok, Russian Federation Duration: 9 Oct 2018 → 11 Oct 2018

Keywords

convective heat transfer
genuine nonlinearity condition
impulsive condition
kinetic solution
ultra-parabolic equation
ENTROPY SOLUTIONS
STRONG TRACES

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10.1088/1755-1315/193/1/012037

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title = "Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front",

abstract = "In the present paper, we derive the kinetic equation and impulsive condition and formulate a class of kinetic solutions to impulsive ultra-parabolic equations. Here ultra-parabolic equations are linked with diffusion processes with inertia (convective heat transfer) on a shock wave front.",

keywords = "convective heat transfer, genuine nonlinearity condition, impulsive condition, kinetic solution, ultra-parabolic equation, ENTROPY SOLUTIONS, STRONG TRACES",

author = "Kuznetsov, {I. V.} and Sazhenkov, {S. A.}",

year = "2018",

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AU - Kuznetsov, I. V.

AU - Sazhenkov, S. A.

PY - 2018/10/30

Y1 - 2018/10/30

N2 - In the present paper, we derive the kinetic equation and impulsive condition and formulate a class of kinetic solutions to impulsive ultra-parabolic equations. Here ultra-parabolic equations are linked with diffusion processes with inertia (convective heat transfer) on a shock wave front.

AB - In the present paper, we derive the kinetic equation and impulsive condition and formulate a class of kinetic solutions to impulsive ultra-parabolic equations. Here ultra-parabolic equations are linked with diffusion processes with inertia (convective heat transfer) on a shock wave front.

KW - convective heat transfer

KW - genuine nonlinearity condition

KW - impulsive condition

KW - kinetic solution

KW - ultra-parabolic equation

KW - ENTROPY SOLUTIONS

KW - STRONG TRACES

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U2 - 10.1088/1755-1315/193/1/012037

DO - 10.1088/1755-1315/193/1/012037

M3 - Conference article

AN - SCOPUS:85056483148

VL - 193

JO - IOP Conference Series: Earth and Environmental Science

JF - IOP Conference Series: Earth and Environmental Science

SN - 1755-1307

IS - 1

M1 - 012037

T2 - 5th All-Russian Conference with International Participation on Polar Mechanics 2018

Y2 - 9 October 2018 through 11 October 2018

ER -

Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front

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Keywords

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