The Existence of Global Solutions to a Fluid Dynamic Model for Materials for Korteweg Type

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Volume 9, Issue 4

Hattori Harumi & Dening Li

J. Part. Diff. Eq., 9 (1996), pp. 323-342.

Published online: 1996-09

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Abstract

We discuss the existence of global solutions to a fluid dynamic model for materials of Korteweg type, and discuss the three dimensional nonisothermal motion. The higher order derivatives of density in the constitutive relation makes it necessary to introduce an interstitial working term in the energy equation. This makes the energy estimate more involved. Nevertheless, it is possible to show the existence of global solutions by the euergy method.

Keywords

Korteweg material global solution

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@Article{JPDE-9-323, author = {Hattori Harumi and Dening Li }, title = {The Existence of Global Solutions to a Fluid Dynamic Model for Materials for Korteweg Type}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {4}, pages = {323--342}, abstract = { We discuss the existence of global solutions to a fluid dynamic model for materials of Korteweg type, and discuss the three dimensional nonisothermal motion. The higher order derivatives of density in the constitutive relation makes it necessary to introduce an interstitial working term in the energy equation. This makes the energy estimate more involved. Nevertheless, it is possible to show the existence of global solutions by the euergy method.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5632.html} }

TY - JOUR T1 - The Existence of Global Solutions to a Fluid Dynamic Model for Materials for Korteweg Type AU - Hattori Harumi & Dening Li JO - Journal of Partial Differential Equations VL - 4 SP - 323 EP - 342 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5632.html KW - Korteweg material KW - global solution AB - We discuss the existence of global solutions to a fluid dynamic model for materials of Korteweg type, and discuss the three dimensional nonisothermal motion. The higher order derivatives of density in the constitutive relation makes it necessary to introduce an interstitial working term in the energy equation. This makes the energy estimate more involved. Nevertheless, it is possible to show the existence of global solutions by the euergy method.

Hattori Harumi and Dening Li . (1996). The Existence of Global Solutions to a Fluid Dynamic Model for Materials for Korteweg Type. Journal of Partial Differential Equations. 9 (4). 323-342. doi:

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