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Computing inertial manifolds
1. | Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom |
[1] |
Ricardo Rosa. Approximate inertial manifolds of exponential order. Discrete and Continuous Dynamical Systems, 1995, 1 (3) : 421-448. doi: 10.3934/dcds.1995.1.421 |
[2] |
José M. Arrieta, Esperanza Santamaría. Estimates on the distance of inertial manifolds. Discrete and Continuous Dynamical Systems, 2014, 34 (10) : 3921-3944. doi: 10.3934/dcds.2014.34.3921 |
[3] |
James C. Robinson. Inertial manifolds with and without delay. Discrete and Continuous Dynamical Systems, 1999, 5 (4) : 813-824. doi: 10.3934/dcds.1999.5.813 |
[4] |
Rolf Bronstering. Some computational aspects of approximate inertial manifolds and finite differences. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 417-454. doi: 10.3934/dcds.1996.2.417 |
[5] |
A. Debussche, R. Temam. Some new generalizations of inertial manifolds. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 543-558. doi: 10.3934/dcds.1996.2.543 |
[6] |
Oscar P. Manley. Some physical considerations attendant to the approximate inertial manifolds for Navier-Stokes equations. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 585-593. doi: 10.3934/dcds.1996.2.585 |
[7] |
Boling Guo, Bixiang Wang. Gevrey regularity and approximate inertial manifolds for the derivative Ginzburg-Landau equation in two spatial dimensions. Discrete and Continuous Dynamical Systems, 1996, 2 (4) : 455-466. doi: 10.3934/dcds.1996.2.455 |
[8] |
Olivier Goubet. Approximate inertial manifolds for a weakly damped nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems, 1997, 3 (4) : 503-530. doi: 10.3934/dcds.1997.3.503 |
[9] |
A. V. Rezounenko. Inertial manifolds with delay for retarded semilinear parabolic equations. Discrete and Continuous Dynamical Systems, 2000, 6 (4) : 829-840. doi: 10.3934/dcds.2000.6.829 |
[10] |
Peter Brune, Björn Schmalfuss. Inertial manifolds for stochastic pde with dynamical boundary conditions. Communications on Pure and Applied Analysis, 2011, 10 (3) : 831-846. doi: 10.3934/cpaa.2011.10.831 |
[11] |
Vladimir V. Chepyzhov, Anna Kostianko, Sergey Zelik. Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations. Discrete and Continuous Dynamical Systems - B, 2019, 24 (3) : 1115-1142. doi: 10.3934/dcdsb.2019009 |
[12] |
Changbing Hu, Kaitai Li. A simple construction of inertial manifolds under time discretization. Discrete and Continuous Dynamical Systems, 1997, 3 (4) : 531-540. doi: 10.3934/dcds.1997.3.531 |
[13] |
Norbert Koksch, Stefan Siegmund. Feedback control via inertial manifolds for nonautonomous evolution equations. Communications on Pure and Applied Analysis, 2011, 10 (3) : 917-936. doi: 10.3934/cpaa.2011.10.917 |
[14] |
L. Dieci, M. S Jolly, Ricardo Rosa, E. S. Van Vleck. Error in approximation of Lyapunov exponents on inertial manifolds: The Kuramoto-Sivashinsky equation. Discrete and Continuous Dynamical Systems - B, 2008, 9 (3&4, May) : 555-580. doi: 10.3934/dcdsb.2008.9.555 |
[15] |
Ahmed Bonfoh. Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems. Evolution Equations and Control Theory, 2021 doi: 10.3934/eect.2021049 |
[16] |
Nguyen Thieu Huy, Pham Truong Xuan, Vu Thi Ngoc Ha, Vu Thi Thuy Ha. Inertial manifolds for parabolic differential equations: The fully nonautonomous case. Communications on Pure and Applied Analysis, 2022, 21 (3) : 943-958. doi: 10.3934/cpaa.2022005 |
[17] |
Cung The Anh, Le Van Hieu, Nguyen Thieu Huy. Inertial manifolds for a class of non-autonomous semilinear parabolic equations with finite delay. Discrete and Continuous Dynamical Systems, 2013, 33 (2) : 483-503. doi: 10.3934/dcds.2013.33.483 |
[18] |
Anna Kostianko, Sergey Zelik. Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions. Communications on Pure and Applied Analysis, 2015, 14 (5) : 2069-2094. doi: 10.3934/cpaa.2015.14.2069 |
[19] |
Anna Kostianko, Sergey Zelik. Inertial manifolds for 1D reaction-diffusion-advection systems. Part Ⅰ: Dirichlet and Neumann boundary conditions. Communications on Pure and Applied Analysis, 2017, 16 (6) : 2357-2376. doi: 10.3934/cpaa.2017116 |
[20] |
Jesenko Vukadinovic. Global dissipativity and inertial manifolds for diffusive burgers equations with low-wavenumber instability. Discrete and Continuous Dynamical Systems, 2011, 29 (1) : 327-341. doi: 10.3934/dcds.2011.29.327 |
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