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On the fractal dimension of invariant sets: Applications to NavierStokes equations
Asymptotic analysis of a twodimensional coupled problem for compressible viscous flows
1.  Robert Bosch GMBH, FV/PTS, Postfach 30 02 40, D70442 Stuttgart, Germany 
2.  IRS, Universtät Stuttgart, D70550 Stuttgart, Germany 
3.  Mathematics Department, Central European University, H1051 Budapest, Hungary 
4.  Institute for Applied Analysis and Numerical Simulation, University of Stuttgart, 70550 Stuttgart, Germany 
[1] 
Jan Březina, Eduard Feireisl, Antonín Novotný. On convergence to equilibria of flows of compressible viscous fluids under in/out–flux boundary conditions. Discrete & Continuous Dynamical Systems, 2021, 41 (8) : 36153627. doi: 10.3934/dcds.2021009 
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Alberto Bressan, Carlotta Donadello. On the convergence of viscous approximations after shock interactions. Discrete & Continuous Dynamical Systems, 2009, 23 (1&2) : 2948. doi: 10.3934/dcds.2009.23.29 
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Pascal Noble, Sebastien Travadel. Nonpersistence of rollwaves under viscous perturbations. Discrete & Continuous Dynamical Systems  B, 2001, 1 (1) : 6170. doi: 10.3934/dcdsb.2001.1.61 
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Fabio Sperotto Bemfica, Marcelo Mendes Disconzi, Casey Rodriguez, Yuanzhen Shao. Local existence and uniqueness in Sobolev spaces for firstorder conformal causal relativistic viscous hydrodynamics. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021069 
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Yang Zhang. A free boundary problem of the cancer invasion. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021092 
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Kin Ming Hui, Soojung Kim. Asymptotic large time behavior of singular solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, 2017, 37 (11) : 59435977. doi: 10.3934/dcds.2017258 
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Oleksandr Boichuk, Victor Feruk. Boundaryvalue problems for weakly singular integral equations. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021094 
[8] 
Chonghu Guan, Xun Li, Rui Zhou, Wenxin Zhou. Free boundary problem for an optimal investment problem with a borrowing constraint. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021049 
[9] 
Carlos FresnedaPortillo, Sergey E. Mikhailov. Analysis of BoundaryDomain Integral Equations to the mixed BVP for a compressible stokes system with variable viscosity. Communications on Pure & Applied Analysis, 2019, 18 (6) : 30593088. doi: 10.3934/cpaa.2019137 
[10] 
Sergey E. Mikhailov, Carlos F. Portillo. BoundaryDomain Integral Equations equivalent to an exterior mixed BVP for the variableviscosity compressible Stokes PDEs. Communications on Pure & Applied Analysis, 2021, 20 (3) : 11031133. doi: 10.3934/cpaa.2021009 
[11] 
Marco Ghimenti, Anna Maria Micheletti. Compactness results for linearly perturbed Yamabe problem on manifolds with boundary. Discrete & Continuous Dynamical Systems  S, 2021, 14 (5) : 17571778. doi: 10.3934/dcdss.2020453 
[12] 
Hui Yang, Yuzhu Han. Initial boundary value problem for a strongly damped wave equation with a general nonlinearity. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021019 
[13] 
Marita Holtmannspötter, Arnd Rösch, Boris Vexler. A priori error estimates for the spacetime finite element discretization of an optimal control problem governed by a coupled linear PDEODE system. Mathematical Control & Related Fields, 2021 doi: 10.3934/mcrf.2021014 
[14] 
Amru Hussein, Martin Saal, Marc Wrona. Primitive equations with horizontal viscosity: The initial value and The timeperiodic problem for physical boundary conditions. Discrete & Continuous Dynamical Systems, 2021, 41 (7) : 30633092. doi: 10.3934/dcds.2020398 
[15] 
Horst R. Thieme. Remarks on resolvent positive operators and their perturbation. Discrete & Continuous Dynamical Systems, 1998, 4 (1) : 7390. doi: 10.3934/dcds.1998.4.73 
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Vaibhav Mehandiratta, Mani Mehra, Günter Leugering. Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph. Networks & Heterogeneous Media, 2021, 16 (2) : 155185. doi: 10.3934/nhm.2021003 
[17] 
Alexander Tolstonogov. BV solutions of a convex sweeping process with a composed perturbation. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021012 
[18] 
Wenmin Gong, Guangcun Lu. On coupled Dirac systems. Discrete & Continuous Dynamical Systems, 2017, 37 (8) : 43294346. doi: 10.3934/dcds.2017185 
[19] 
Yila Bai, Haiqing Zhao, Xu Zhang, Enmin Feng, Zhijun Li. The model of heat transfer of the arctic snowice layer in summer and numerical simulation. Journal of Industrial & Management Optimization, 2005, 1 (3) : 405414. doi: 10.3934/jimo.2005.1.405 
[20] 
Marcelo Messias. Periodic perturbation of quadratic systems with two infinite heteroclinic cycles. Discrete & Continuous Dynamical Systems, 2012, 32 (5) : 18811899. doi: 10.3934/dcds.2012.32.1881 
2019 Impact Factor: 1.338
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