strong uniqueness
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2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Yu Liu ◽  
Ting Zhang

<p style='text-indent:20px;'>In this paper, we define a renormalized dissipative measure-valued (rDMV) solution of the compressible magnetohydrodynamics (MHD) equations with non-monotone pressure law. We prove the existence of the rDMV solutions and establish a suitable relative energy inequality. And we obtain the weak (measure-valued)-strong uniqueness property of this rDMV solution with the help of the relative energy inequality.</p>


Nonlinearity ◽  
2021 ◽  
Vol 34 (9) ◽  
pp. 6627-6650
Author(s):  
Eduard Feireisl ◽  
Antonín Novotný

2021 ◽  
Vol 5 (2) ◽  
pp. 206
Author(s):  
Lutfi Setianingrum ◽  
Sudaryono Sudaryono ◽  
Muhammad Sani Roychansyah

Abstract: This paper explains that one building can affect strongly to the settlement as long as it has strong uniqueness that attached to local peoples’ minds. As one of the traditional settement in Yogyakarta, Dongkelan Kauman known as the District of Pathok Negara, has spesifis spatial system. That phenomenon was explored deeper by inductive-phenomenological research to reveal that its social systems and value is strongly bonded to its spatial systems. In the end, the ideology of Dongkelan Family was found as transcendental consciousness that has several values attached. The specificity of their social system makes the uniqueness of spatial systems can exist until now and reinforce the status of Dongkelan Kauman as the agglomeration boundary of YogyakartaAbstrak: Paper ini memaparkan bahwa sebuah permukiman dapat terpengaruh oleh satu bangunan jika bangunan tersebut memiliki keunikan yang cukup kuat di pikiran masyarakatnya. Sebagai salah satu dari permukiman lama yang memiliki sejarah panjang di Yogyakarta, Kawasan Pathok Negara Dongkelan, yang lazim disebut Dongkelan Kauman, memiliki keunikan sistem ruang. Indikasi keunikan ruang kawasan ini, digali lebih dalam melalui sebuah penelitian induktif-kualitatif-fenomenologi, yang menemukan bahwa selain sistem ruangnya, Dongkelan Kauman juga memiliki sistem dan nilai sosial yang unik dan spesifik. Nilai sosial tersebut terwujud dalam sebuah kesadaran transendental akan ikatan keluarga. Dalam kesadaran yang melintas waktu dan ruang ini, melekat nilai-nilai spesifik yang hidup dalam sistem sosial masyarakat. Tidak hanya hidup dalam masyarakat, nilai-nilai ini juga menjaga sistem ruang unik Dongkelan Kauman dan memperkuat status kawasan ini sebagai batas aglomerasi perkotaan Yogyakarta. 


2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Lianhua He ◽  
Yonghui Zhou

In this paper, we consider the two-dimensional compressible magnetohydrodynamic system with Coulomb force. We apply the method of relative entropy to establish the weak-strong uniqueness property of this system.


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