Search Results - "Schonbek, Maria E."

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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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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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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Decay of weak solutions to the 2D dissipative quasi-geostrophic equation by NICHE, César J, SCHONBEK, Maria E

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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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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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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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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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Decay rates for a class of diffusive-dominated interaction equations by Cañizo, José A., Carrillo, José A., Schonbek, Maria E.

“…We analyse qualitative properties of the solutions to a mean-field equation for particles interacting through a pairwise potential while diffusing by Brownian…”
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Estimates for the Pressure and the Fourier Transform for Solutions and Derivatives to the Navier-Stokes Equations by Schonbek, Maria E.

“…Several bounds on the solutions and the pressure are obtained for regular solutions to the Navier-Stokes equations in two and three dimensions on the whole…”
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Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces by Schonbek, Maria E.

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L p -Solutions of the Steady-State Navier-Stokes Equations with Rough External Forces by Bjorland, Clayton, Brandolese, Lorenzo, Iftimie, Dragoş, Schonbek, Maria E.

“…In this paper we address the existence, the asymptotic behavior and stability in L p and L p, ∞ , , for solutions to the steady state 3D Navier-Stokes…”
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Viscous Conservation Laws in 1d With Measure Initial Data by Bank, Miriam, Ben-Artzi, Matania, Schonbek, Maria E

“…The one-dimensional viscous conservation law is considered on the whole line $$ u_t + f(u)_x=\eps u_{xx},\quad (x,t)\in\RR\times\overline{\RP},\quad \eps>0, $$…”
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Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations by Niche, Cesar J, Schonbek, Maria 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 the Liquid Crystal System in $H^m(\mathbb{R}^3) by Dai, Mimi, Schonbek, Maria E

“…In this paper we study the large time behavior of regular solutions to a nematic liquid crystal system in Sobolev spaces $H^m(\R^3)$ for $m\geq 0$.We obtain…”
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Decay characterization of solutions to dissipative equations by Niche, Cesar J, Schonbek, Maria E

“…We address the study of decay rates of solutions to dissipative equations. The characterization of these rates is given for a wide class of linear systems by…”
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Long time behavior for a dissipative shallow water model by Sciacca, Vincenzo, Schonbek, Maria E, Sammartino, Marco

“…We consider the two-dimensional shallow water model derived by Levermore and Sammartino (Nonlinearity 14,2001), describing the motion of an incompressible…”
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L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3 by Karch, Grzegorz, Pilarczyk, Dominika, Schonbek, Maria E

“…We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an…”
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