## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS-S

The global existence of weak solutions is proved for the problem of the motion of several rigid bodies either
in a non-Newtonian fluid of power law type or in a barotropic compressible fluid, under the influence of gravitational forces.

DCDS-S

Mathematical theory of fluid mechanics is a field with a rich long history and active present. The volume collects selected contributions
of distinguished experts in various domains ranging from modeling through mathematical analysis to numerics and practical implementations related to
real world problems.

For more information please click the “Full Text” above.

For more information please click the “Full Text” above.

keywords:

DCDS

We derive the fundamental solution of the linearized problem of the motion of a viscous fluid around a rotating body when the axis of rotation of the body is not parallel to the velocity of the fluid at infinity.

keywords:
Navier-Stokes problem
,
linearized problem
,
rotating body
,
Fundamental solution
,
wake.
,
translating body

DCDS

The paper deals with the global existence of strong solution to the equations modeling a motion of a rigid body around viscous fluid. Moreover, the estimates of second gradients of velocity and pressure are given.

DCDS-S

In the paper we will study the problem of steady viscous linear case
with Coriolis force in the exterior domain.

DCDS-B

We consider an initial boundary value problem for the equation describing heat conduction in a spherical model of neutron star considered by
Lattimer et al. We estimate the asymptotic decay of the solution, which provides a plausible estimate for a "thermalization time" for
the system.

PROC

We consider a linearization of a model for stationary incompressible
viscous
ow past a rigid body performing a rotation and a translation.
Using a representation formula, we obtain pointwise decay bounds for the velocity
and its gradient. This result improves estimates obtained by the authors
in a previous article.

keywords:
rotating body
,
Navier-Stokes system
,
viscous incompressible
ow
,
decay
,
fundamental solution

DCDS

We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary flow of a viscous incompressible fluid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a previous paper, we proved a representation formula for Leray solutions of this system. Here the representation formula is used as starting point for splitting the velocity into a leading term and a remainder, and for establishing pointwise decay estimates of the remainder and its gradient.

DCDS-S

This Volume of Discrete and Continuous Dynamical Systems is dedicated to
Professor Vsevolod Aleksevich Solonnikov on the occasion of his 75th birthday.

He was born on June 8th, 1933 in Leningrad. Working at the Department of the Steklov Mathematical Institute in today St. Petersburg for more than 50 years he has published nearly 250 scientific papers on the theory of partial differential equations and function theory. Moreover, he was teaching for 20 years at the Chair of Mathematical Physics at the Faculty of Mathematics and Mechanics at Leningrad State University. He has many pupils. Under his supervision, two doctoral and eight candidate theses were defended. He regularly participates in international scientific conferences all over the world. He is speaking at least six European languages.

For more information please click the “Full Text” above.

He was born on June 8th, 1933 in Leningrad. Working at the Department of the Steklov Mathematical Institute in today St. Petersburg for more than 50 years he has published nearly 250 scientific papers on the theory of partial differential equations and function theory. Moreover, he was teaching for 20 years at the Chair of Mathematical Physics at the Faculty of Mathematics and Mechanics at Leningrad State University. He has many pupils. Under his supervision, two doctoral and eight candidate theses were defended. He regularly participates in international scientific conferences all over the world. He is speaking at least six European languages.

For more information please click the “Full Text” above.

keywords:

DCDS-S

A Green's formula is proved for solutions of a linearized system describing the stationary
flow of a viscous incompressible fluid around a rigid body which is rotating
and translating.
The formula in question is based on the fundamental solution
obtained by integrating the time variable in
the fundamental solution of the corresponding evolutionary
problem.

## Year of publication

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