Results 101 to 110 of about 317 (178)

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

open access: yesAdvances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

Energy Bounds for the Two-Dimensional Navier-Stokes Equations in an Infinite Cylinder

open access: yes, 2014
International audienceWe consider the incompressible Navier-Stokes equations in the cylinder R × T, with no exterior forcing, and we investigate the long-time behavior of solutions arising from merely bounded initial data.
Slijepcevic, Sinisa, Gallay, Thierry
core   +1 more source

On the large solutions to a class of k-Hessian problems

open access: yesAdvanced Nonlinear Studies
In this paper, we consider the k-Hessian problem S k(D 2 u) = b(x)f(u) in Ω, u = +∞ on ∂Ω, where Ω is a C ∞-smooth bounded strictly (k − 1)-convex domain in RN ${\mathbb{R}}^{N}$ with N ≥ 2, b ∈ C∞(Ω) is positive in Ω and may be singular or vanish on ∂Ω,
Wan Haitao
doaj   +1 more source

Solutions to the Equations of Viscous Quantum Hydrodynamics in Multiple Dimensions

open access: yes, 2008
We study the viscous model of quantum hydrodynamics in a bounded domain of space di-mension 1, 2, or 3. This model is a mixed order partial differential system with nonlocal and nonlinear terms for the particle density, current density and electric ...
Mathematik Informatik   +2 more
core  

Fractal-fractional mathematical modeling and forecasting of new cases and deaths of COVID-19 epidemic outbreaks in India. [PDF]

open access: yesResults Phys, 2021
Abdulwasaa MA   +6 more
europepmc   +1 more source

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

open access: yesAdvances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Energy solutions of the Cauchy-Dirichlet problem for fractional nonlinear diffusion equations

open access: yes
2020 MSC: Primary: 35K67 Secondary: 35B40.The present paper is concerned with the Cauchy-Dirichlet problem for fractional (and non-fractional) nonlinear diffusion equations posed in bounded domains.
Akagi, Goro, Salin, Florian
core   +2 more sources

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