Global Well-posedness
Global well-posedness for the viscous primitive equations of geophysics
... equations; global well-posedness; hybrid-Besov spaces 1 Introduction The viscous primitive equations are a fundamental mathematical model of geophysics that describes the large-scale ocean and ...
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Global well posedness of a class of stochastic equations with jumps
... Zhou Advances in Difference Equations 2013, 2013 175 http //www advancesindifferenceequations com/content/2013/1/175 R ES EA RCH Open Access Global well posedness of a class of stochastic equations wi[.] ...
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Global Well Posedness for Certain Density Dependent Modified Leray Models
... 11 Y. Zhou and J. Fan, “Global well-posedness for two modified-Leray-α-MHD models with partial viscous terms,” Mathematical Methods in the Applied Sciences, vol. 33, no. 7, pp. 856–862, 2010. 12 Y. ...
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Persistence of global well posedness for the 2D Boussinesq equations with fractional dissipation
... Abstract In this paper, we study the IBVP for the 2D Boussinesq equations with fractional dissipation in the subcritical case, and prove the persistence of global well-posedness of strong solutions. ...
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Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains
... 5. Jiang, Z, Fan, J: Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system. Bound. Value Probl. 2011, Article ID 54 (2011) 6. Zhou, D, Li, Z: Global well-posedness for the 2D ...
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On the global well-posedness of the 2D Euler equations for a large class of Yudovich type data
... for a large class of Yudovich type data Frederic Bernicot, Sahbi Keraani To cite this version: Frederic Bernicot, Sahbi Keraani. On the global well-posedness of the 2D Euler equations for a large ...
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Global well-posedness of the 3D incompressible porous media equation with critical dissipation in Triebel-Lizorkin spaces
... the global well-posedness of the 3D incompressible critical dissipative porous media equation with small initial data in the Triebel-Lizorkin space F s p,q (R 3 ...
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Global well posedness of the dynamic Φ4 model in the plane
... With these preliminary results in hand, we can start the construction of the solution of the stochastic heat equation and its Wick powers in weighted Besov spaces, in the case when d = 2[r] ...
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Global well-posedness for nonlinear fourth-order Schrödinger equations
... the global existence and blow up for the problem by potential well theory is still not considered for μ = ...potential well theory. Re- cently, the concavity method and potential well theory ...
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Global well-posedness of compressible magnetohydrodynamics with density-dependent viscosity and resistivity
... unique global classical solution ( ρ , u, b), where ρ ∈ C 1 ([0, T]; H 1 ([0, 1])), u ∈ H 1 ([0, T];H 1 ([0, 1])), and b ∈ C 1 ([0, T]; H 1 ([0, 1])) for any T > ...
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Global well posedness of 2D generalized MHD equations with fractional diffusion
... Full list of author information is available at the end of the article Abstract In this paper we prove the uniqueness of weak solutions and the global-in-time existence of smooth solutions of the 2D generalized ...
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Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals
... Abstract In this paper, a macromolecular non-isothermal model for the incompressible hydrodynamics flow of nematic liquid crystals on T 3 is considered. By a Galerkin approximation, we prove the local existence of a ...
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GLOBAL WELL-POSEDNESS OF MASTER EQUATIONS FOR DETERMINISTIC DISPLACEMENT CONVEX POTENTIAL MEAN FIELD GAMES
... The characteristics of this infinite dimensional PDE and the smoothness properties of ˜ U will play an essential role in the application of our study to Mean Field Games. They allow us to obtain an explicit ...
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Well-posedness and scalarization in vector optimization
... The classification proposed here essentialy groups the definitions into two main classes: pointwise and global well-posedness. The definitions of the first group consider a fixed efficient point (or ...
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Well-posedness and scalarization in vector optimization
... The classification proposed here essentialy groups the definitions into two main classes: pointwise and global well-posedness. The definitions of the first group consider a fixed efficient point (or ...
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Remark on the well-posedness of weakly dispersive equations
... 1, global well-posedness can be obtained thanks to Brezis-Gallou¨ et estimates [5, ...the global well-posedness when α = ...
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Well-posedness of a higher-order Schrödinger–Poisson–Slater system
... the global well-posedness of a higher-order nonlinear Schrödinger ...uniqueness global in time of solutions in L 2 (R 3 ) and in the energy ...
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On the Well Posedness and Refined Estimates for the Global Attractor of the TYC Model
... Furthermore, we have derived upper bounds on the Hausdorff and fractal dimension for the global attractor in the space H. The technique of weighted Sobolev spaces enables ! us to provide bounds that are of the ...
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Well-posedness and stationary solutions
... In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions a[r] ...
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3 Well-posedness of the control problem
... Farag, Necessary optimality conditions for constrained optimal control problems governed by parabolic equations, Journal of Vibration and Control ,9 (2003), 949-963.. Farag, A stability [r] ...
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