Existence of global weak solution
Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation
... the global weak solution for the 2D Bénard system with vertical dissipation in the first component of velocity field and horizontal thermal diffusivity in ...the global regularity criteria for ...
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Uniqueness of global weak solution for some hyperbolic conservation system
... others, weak or distributional solutions are not unique unless some entropy condition is ...Glimm existence of solutions of general systems of hyperbolic conservation ...the global existence ...
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The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)
... The existence of global weak solutions to the Cauchy problem for a weakly dissipative Camassa-Holm equation is established in the space C([0, ∞ ) × R) ∩ L ∞ ([0, ∞ ); H 1 (R)) under the assumption ...
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Global existence of weak solution for the compressible Navier–Stokes–Poisson system with density-dependent viscosity
... the existence of global weak solutions to the compressible Navier–Stokes–Poisson equations with the non-flat doping profile when the viscosity coefficients are density-dependent, the data are large and ...
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Existence of global solution for a differential system with initial data in Lp
... Abstract. In this paper, we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. By estab- lishing a new priori estimates and following ...
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Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions
... viscoelasticity; weak solution; commutator estimates 1 Introduction There is a wide class of materials, although they are naturally insensitive to magnetic fields, which have been rendered magneto-sensitive ...
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Global Existence and Extinction of Weak Solutions to a Class of Semiconductor Equations with Fast Diffusion Terms
... n, p −→ n, p 2.13 is well defined and compact. For the above given R, Sκ 2 → κ 2 holds if we choose R sufficiently large. By using the standard method for details, see 5 or 9, we can obtain the continuity of map S. Thus, ...
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Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term
... considered existence, uniqueness, and nonuniqueness, and nonexistence of a global classical solution for wave equations with nonlinear damping ...
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Construction of Global Weak Entropy Solution of Initial Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux
... the existence of global weak entropy solution for the system of isentropic gas dynamics equations by using the method of Compensated compactness and vanishing ...of solution of the ...
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Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms
... equation in plasma. Dokl. Math. 58(1), 148–150 (1998) 4. Alghamdi, A.M., Gala, S., Ragusa, M.A.: On the blow-up criterion for incompressible Stokes–MHD equations. Results Math. 73(3), Article number 110 (2014) 5. Gala, ...
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Global Existence of Solution for Reaction Diffusion Systems
... Global Existence of Solution for Reaction Diffusion Systems Abdelkader Moumeni ∗ and Lylia Salah Derradji † Abstract—The aim of this paper is to study the global existence in time of ...
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Existence of a Weak Solution to the Maxwell-Stokes Type Equation by the Penalty Method
... Theorem 2.5. Let Ω ⊂ R 3 be a bounded, Lipcshitz-continuous domain in R 3 , and assume that a Carath´eodory function S(x, t) satisfies the structure conditions (2.1a)-(2.1c). Then for any f ∈ W −1,p 0 (Ω), the ...
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Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations
... the global existence and uniqueness of weak solutions of the problem and then we will study the determining modes on the phase space H 2 0,1 H 0 1 0,1 by using energy methods and the ...
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From the weak to the strong existence property
... the existence property, EP, ...the existence property, where IZF is formulated with ...the existence property, wEP, defined by the slackened requirement of finding a provably definable set of ...
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GLOBAL EXISTENCE FOR
... the global existence of solutions for the initial value problems for Volterra-Fredholm type neutral impulsive functional integrodifferential ...a solution exists ...
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GLOBAL IN TIME EXISTENCE OF STRONG SOLUTION TO 3D NAVIER-STOKES EQUATIONS
... TIME EXISTENCE OF STRONG SOLUTION TO 3D NAVIER-STOKES EQUATIONS ABDELKERIM CHAABANI ...the global in time existence for arbitrary large in H 1 initial data of a strong solution to 3D ...
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3 Existence of the Solution
... www.ulsu.ru Abstract. The dynamic optimal control problem of advertising costs in case of a company’s limited advertising budget is analyzed. Initial optimization problem is formulated as a system of nonlinear integral ...
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Existence of Weak Solutions for a Nonlinear Elliptic System
... , existence results in no-slip surface, β 0, are obtained, while in 3, 7 , Navier’s slip conditions, β / 0 and r 0 0, are investigated, and numerical, existence, uniqueness, and regularity results are ...
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Global Solution of a Nonlinear Conservation Law with Weak Discontinuous Flux in the Half Space
... a weak discontinuous point u d ...the global weak entropy solution for the above initial-boundary value problem under the condition of f u − ′ ( ) d > f u + ′ ( ) d ...the global ...
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Global Existence, Uniqueness, and Asymptotic Behavior of Solution for Laplacian Type Wave Equation
... the global existence and uniqueness of a solution to an initial boundary value problem for the nonlinear wave equation with the p-Laplacian operator u tt −div|∇u| p − 2 ∇u−Δu t gx, u ...of ...
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