Results 51 to 60 of about 2,352 (109)

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

Advances 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

Rough solutions of a Schroedinger - Benjamin - Ono system [PDF]

arXiv, 2005
The Cauchy problem for a coupled Schroedinger and Benjamin - Ono system is shown to be globally well-posed for a class of data without finite energy. The proof uses the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.
arxiv  

Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme

Computational and Mathematical Biophysics
This study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates.
Nnaji Daniel Ugochukwu, Kiogora Phineas Roy, Onah Ifeanyi Sunday, Mung’atu Joseph, Aguegboh Nnaemeka Stanley   +4 more
doaj   +1 more source

Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space [PDF]

arXiv, 2006
We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$.
arxiv  

On the global well-posedness of the critical quasi-geostrophic equation [PDF]

arXiv, 2007
We prove the global well-posedness of the critical dissipative quasi-geostrophic equation for large initial data belonging to the critical Besov space $\dot B^0_{\infty,1}(\RR^2).$
arxiv  

Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion

Advances in Nonlinear Analysis, 2020
We prove that there exists a weak solution to a system governing an unsteady flow of a viscoelastic fluid in three dimensions, for arbitrarily large time interval and data.
Bathory Michal, Bulíček Miroslav, Málek Josef   +2 more
doaj   +1 more source

On the global existence for the axisymmetric Euler equations [PDF]

arXiv, 2007
This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov ...
arxiv  

Global solutions of aggregation equations and other flows with random diffusion. [PDF]

Probab Theory Relat Fields, 2023
Rosenzweig M, Staffilani G.
europepmc   +1 more source

On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation [PDF]

arXiv, 2007
By using a new bilinear estimate, a pointwise estimate of the generalized Oseen kernel and an idea of fractional bootstrap, we show in this note that solutions to the Navier-Stokes equations with fractional dissipation are analytic in space variables.
arxiv  

Some explicit solutions of the three-dimensional Euler equations with a free surface. [PDF]

Math Ann, 2022
Martin CI.
europepmc   +1 more source