On the stationary transport equations

Hyeong Ohk Bae; Hi Jun Choe; Bum Ja Jin; Yongsik Kim

doi:10.1016/j.na.2007.02.030

On the stationary transport equations

Hyeong Ohk Bae, Hi Jun Choe, Bum Ja Jin, Yongsik Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We find solutions in L¹ and L^∞ for the general domains for certain transport equations arising in the theory of the compressible Navier-Stokes equations. Some a priori estimates in L¹ and L^∞ have been found. Then, the asymptotic behavior of L^∞ solutions is found. We also consider solutions in H¹ and BMO. We show the uniqueness of the solutions in these four function spaces.

Original language	English
Pages (from-to)	2837-2850
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	68
Issue number	9
DOIs	https://doi.org/10.1016/j.na.2007.02.030
Publication status	Published - 2008 May 1

Bibliographical note

Funding Information:
The first author was supported by KOSEF (R01-2006-10472-0).

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2007.02.030

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title = "On the stationary transport equations",

abstract = "We find solutions in L1 and L∞ for the general domains for certain transport equations arising in the theory of the compressible Navier-Stokes equations. Some a priori estimates in L1 and L∞ have been found. Then, the asymptotic behavior of L∞ solutions is found. We also consider solutions in H1 and BMO. We show the uniqueness of the solutions in these four function spaces.",

author = "Bae, {Hyeong Ohk} and Choe, {Hi Jun} and Jin, {Bum Ja} and Yongsik Kim",

note = "Funding Information: The first author was supported by KOSEF (R01-2006-10472-0).",

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AU - Bae, Hyeong Ohk

AU - Choe, Hi Jun

AU - Jin, Bum Ja

AU - Kim, Yongsik

N1 - Funding Information: The first author was supported by KOSEF (R01-2006-10472-0).

PY - 2008/5/1

Y1 - 2008/5/1

N2 - We find solutions in L1 and L∞ for the general domains for certain transport equations arising in the theory of the compressible Navier-Stokes equations. Some a priori estimates in L1 and L∞ have been found. Then, the asymptotic behavior of L∞ solutions is found. We also consider solutions in H1 and BMO. We show the uniqueness of the solutions in these four function spaces.

AB - We find solutions in L1 and L∞ for the general domains for certain transport equations arising in the theory of the compressible Navier-Stokes equations. Some a priori estimates in L1 and L∞ have been found. Then, the asymptotic behavior of L∞ solutions is found. We also consider solutions in H1 and BMO. We show the uniqueness of the solutions in these four function spaces.

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DO - 10.1016/j.na.2007.02.030

M3 - Article

AN - SCOPUS:39749177361

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VL - 68

SP - 2837

EP - 2850

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 9

ER -

On the stationary transport equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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