EXISTENCE, REGULARITY AND WEAK-STRONG UNIQUENESS FOR THREE-DIMENSIONAL PETERLIN VISCOELASTIC MODEL

被引：0

作者：

Brunk, Aaron ^{[1
]}

Lu, Yong ^{[2
]}

Lukacova-Medvidova, Maria ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math, Mainz, Germany

[2] Nanjing Univ, Dept Math, Nanjing, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2022年 / 20卷 / 01期

关键词：

Complex fluids; relative energy; parabolic regularity; weak-strong uniqueness; FINITE-ELEMENT APPROXIMATION; SPRING CHAIN MODELS; GLOBAL EXISTENCE; OLDROYD-B; NUMERICAL-ANALYSIS; DILUTE POLYMERS; FLUID SYSTEM; HYDRODYNAMICS; CRITERIA;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze three-dimensional Peterlin viscoelastic model. By means of a mixed Galerkin and semigroup approach we prove the existence of weak solutions. Further, combining parabolic regularity with the relative energy method, we derive a conditional weak-strong uniqueness result.

引用

页码：201 / 230

页数：30

共 50 条

[1] EXISTENCE AND WEAK-STRONG UNIQUENESS FOR GLOBAL WEAK SOLUTIONS FOR THE VISCOELASTIC PHASE SEPARATION MODEL IN THREE SPACE DIMENSIONS
Brunk, Aaron
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (06) : 2120 - 2136
[2] Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness
Homberg, Dietmar
Lasarzik, Robert
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021, 31 (09): : 1867 - 1918
[3] Weak-strong uniqueness property for the magnetohydrodynamic equations of three-dimensional compressible isentropic flows
Yang, Yong-Fu
Dou, Changsheng
Ju, Qiangchang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 85 : 23 - 30
[4] Weak-strong uniqueness for three dimensional incompressible active liquid crystals
Yang, Fan
Li, Congming
ACTA MATHEMATICA SCIENTIA, 2024, 44 (04) : 1415 - 1440
[5] WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS
杨帆
李从明
Acta Mathematica Scientia, 2024, 44 (04) : 1415 - 1440
[6] Compressible Fluids Interacting with Plates: Regularity and Weak-Strong Uniqueness
Srđan Trifunović
Journal of Mathematical Fluid Mechanics, 2023, 25
[7] Compressible Fluids Interacting with Plates: Regularity and Weak-Strong Uniqueness
Trifunovic, Srdan
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2023, 25 (01)
[8] WEAK-STRONG UNIQUENESS OF INCOMPRESSIBLE MAGNETO-VISCOELASTIC FLOWS
Zhao, Wenjing
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (05) : 2907 - 2917
[9] Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
Lukacova-Medvid'ova, Maria
Mizerova, Hana
Necasova, Sarka
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 120 : 154 - 170
[10] Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness
Dallas Albritton
Tobias Barker
Christophe Prange
Journal of Mathematical Fluid Mechanics, 2023, 25

← 1 2 3 4 5 →