1,721,120 research outputs found
ATTRACTORS FOR THE NAVIER-STOKES-CAHN-HILLIARD SYSTEM
No full textWe investigate the longtime behavior of the solutions to the Navier-Stokes-Cahn-Hilliard system (also known as Model H) with singular (e.g. Flory-Huggins) potential and non-constant viscosity. We prove that the initial and boundary value problem generates a strongly continuous semigroup on a suitable phase-space. Next, we establish the existence of the global attractor and of exponential attractors, and their regularity properties
Some Global Dynamical Properties of a Class of Pattern Formation Equations
No full textNicolaenko, B.; Scheurer, B.; Temam, R.. (1987). Some Global Dynamical Properties of a Class of Pattern Formation Equations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4754
Inertial Manifolds for Nonlinear Evolutionary Equations
No full textFoias, C.; Sell, George R.; Temam, R.. (1986). Inertial Manifolds for Nonlinear Evolutionary Equations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4392
Accurate computations on inertial manifolds
No full textJolly, M.S.; Rosa, R.; Temam, R.. (1999). Accurate computations on inertial manifolds. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3287
GRISVARD'S SHIFT THEOREM NEAR L-infinity AND YUDOVICH THEORY ON POLYGONAL DOMAINS
No full textLet Omega subset of R-2 be a bounded, simply connected domain with boundary partial derivative Omega of class C-1,C-1 except at finitely many points S-j where partial derivative Omega is locally a corner of aperture alpha(j) <= pi/2. Improving on results of Grisvard [J. Monogr. Stud. Math. 24, Pitman, Boston, MA, 1985; J. Math. Pures Appl., 74 (1995), pp. 3-33], we show that the solution G(Omega)f to the Dirichlet problem on Omega with data f is an element of L-p(Omega) and homogeneous boundary conditions satisfies the estimates parallel to G(Omega)f parallel to(W2),(p(Omega)) <= Cp parallel to f parallel to L-p(Omega) for all 2 <= p < infinity, parallel to D(2)G(Omega)f parallel to(ExpL1(Omega)) <= C parallel to f parallel to L-infinity(Omega). The proof uses sharp L-p bounds for singular integrals on power weighted spaces inspired by the work of Buckley [Trans. Amer. Math. Soc., 340 (1993), pp. 253-272]. Our results lead to the extension of the Yudovich theory [V. I. Yudovich, Z. Vycisl. Mat. i Mat. Fiz., 3 (1963), pp. 1032-1066; Math. Res. Lett., 2 (1995), pp. 27-38] of existence, uniqueness, and regularity of weak solutions to the Euler equations on Omega x (0, T) to polygonal domains Omega as above
Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation
No full textJolly, M.S.; Rosa, R.; Temam, R.. (1999). Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3324
Inertial sets for dissipative evolution equations
No full textEden, A.; Foias, C.; Nicolaenko, B.; Temam, R.. (1990). Inertial sets for dissipative evolution equations. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2369
The Navier-Stokes-Cahn-Hilliard equations for mildly compressible binary fluid mixtures
No full textWe study the well-posedness for the mildly compressible Navier- Stokes-Cahn-Hilliard system with non-constant viscosity and Landau potential in two and three dimensional domains
Inertial Manifolds for the Kuramoto-Sivashinsky Equation and an Estimate of their Lowest Dimension
No full textFoias, C.; Nicolaenko, B.; Sell, George R.; Temam, R.. (1986). Inertial Manifolds for the Kuramoto-Sivashinsky Equation and an Estimate of their Lowest Dimension. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4494
Inertial sets for dissipative evolution equations Part I: Construction and applications
No full textEden, A.; Foias, C.; Nicolaenko, B.; Temam, R.. (1991). Inertial sets for dissipative evolution equations Part I: Construction and applications. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/1625
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