Search Results - "Schonbek, Maria"

On the temporal decay for the Hall-magnetohydrodynamic equations by Chae, Dongho, Schonbek, Maria

“…We establish temporal decay estimates for weak solutions to the Hall-magnetohydrodynamic equations. With these estimates in hand we obtain algebraic time decay…”
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Large time decay and growth for solutions of a viscous Boussinesq system by BRANDOLESE, LORENZO, SCHONBEK, MARIA E.

“…In this paper we analyze the decay and the growth for large time of weak and strong solutions to the three-dimensional viscous Boussinesq system. We show that…”
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Stability of Time-Dependent Navier-Stokes Flow and Algebraic Energy Decay by Hishida, Toshiaki, Schonbek, Maria E.

“…Let V = V(x,t) be a given time-dependent Navier-Stokes flow of an incompressible viscous fluid in the whole space ℝn (n = 3,4). Assume such V to be small in…”
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Classical Solutions for a Nonlinear Fokker-Planck Equation Arising in Computational Neuroscience by Carrillo, José A., González, María d. M., Gualdani, Maria P., Schonbek, Maria E.

“…In this paper we analyze the global existence of classical solutions to the initial boundary-value problem for a nonlinear parabolic equation describing the…”
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NONEXISTENCE OF PSEUDO-SELF-SIMILAR SOLUTIONS TO INCOMPRESSIBLE EULER EQUATIONS by Schonbek, Maria

“…In this paper we study a generalization of self-similar solutions. We show that just as for the solutions to the Navier-Stokes equations these supposedly…”
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On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $${\mathbb{R}^N}$$ R N by Schonbek, Maria, Shibata, Yoshihiro

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Lp-Solutions of the Steady-State Navier-Stokes Equations with Rough External Forces by Bjorland, Clayton, Brandolese, Lorenzo, Iftimie, Dragos, Schonbek, Maria E

“…In this paper we address the existence, the asymptotic behavior and stability in Lp and Lp, ∞, [image omitted], for solutions to the steady state 3D…”
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New formulation of the Gompertz equation to describe the kinetics of untreated tumors by Castañeda, Antonio Rafael Selva, Torres, Erick Ramírez, Goris, Narciso Antonio Villar, González, Maraelys Morales, Reyes, Juan Bory, González, Victoriano Gustavo Sierra, Schonbek, María, Montijano, Juan Ignacio, Cabrales, Luis Enrique Bergues

“…Different equations have been used to describe and understand the growth kinetics of undisturbed malignant solid tumors. The aim of this paper is to propose a…”
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Decay of weak solutions to the 2D dissipative quasi-geostrophic equation by NICHE, César J, SCHONBEK, Maria E

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On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in R N by Schonbek, Maria, Shibata, Yoshihiro

“…We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional whole space. We prove the global well-posedness of strong solutions…”
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Lower bounds of rates of decay for solutions to the Navier-Stokes equations by Schonbek, Maria E.

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On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in RN by Schonbek, Maria, Shibata, Yoshihiro

“…We consider the motion of a viscous incompressible liquid crystal flow in the N -dimensional whole space. We prove the global well-posedness of strong…”
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ON ZERO MASS SOLUTIONS OF VISCOUS CONSERVATION LAWS by Karch, Grzegorz, Elena Schonbek, Maria

“…In this paper, we consider the large time behavior of solutions to the convection-diffusion equation in , where as . Under the assumption that and the initial…”
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Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations by Niche, César J., Schonbek, María E.

“…In this article, we use the decay character of initial data to compare the energy decay rates of solutions to different compressible approximations to the…”
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Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ 3 by Dai, Mimi, Qing, Jie, Schonbek, Maria

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L2-asymptotic stability of singular solutions to the Navier–Stokes system of equations in R3 by Karch, Grzegorz, Pilarczyk, Dominika, Schonbek, Maria E.

“…We consider global-in-time small solutions of the initial value problem to the incompressible Navier–Stokes equations in R3. Usually, such solutions do not…”
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L2-asymptotic stability of singular solutions to the Navier–Stokes system of equations in R 3 by Karch, Grzegorz, Pilarczyk, Dominika, Schonbek, Maria E.

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Energy Decay for a Weak Solution of the Navier–Stokes Equation with Slowly Varying External Forces by Ogawa, Takayoshi, Rajopadhye, Shubha V, Schonbek, Maria E

“…We consider the Navier–Stokes system with slowly decaying external forces[formula]We show that the energy norm of a weak solution has non-uniform…”
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Non-Uniform Decay of MHD Equations With and Without Magnetic Diffusion by Agapito, Rubén, Schonbek, Maria

“…We consider the long time behavior of solutions to the magnetohydrodynamics equations in two and three spatial dimensions. It is shown that in the absence of…”
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A viscous modified Gompertz model for the analysis of the kinetics of tumors under electrochemical therapy by Cabrales, Luis Enrique Bergues, Montijano, Juan I., Schonbek, Maria, Castañeda, Antonio Rafael Selva

“…Knowledge of tumor growth kinetics constitutes a challenge for researchers. Different models have been used to describe data of unperturbed and perturbed…”
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