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Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
Euler equations of incompressible fluids use and enrich many branches of mathematics, from integrable systems to geometric analysis. They present important open physical and mathematical problems. Exa...
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
In this article we study the long-time behaviour of a system of nonlinear Partial Differential Equations (PDEs) modelling the motion of incompressible, isothermal and conducting modified bipolar fluid...
By making use of the developments in the fields of numerical methods, computational technology and fluid dynamics models, computational fluid dynamics (CFD) progress forward to play an active role tod...
A rigorous proof of existence and uniqueness of solutions to a singular nonlinear boundary value problem in the theory of Dilatant non-Newtonian fluids is given and a theoretical estimate formula for ...
Abstract: We study the limit of the stochastic model for two dimensional second grade fluids subjected to the periodic boundary conditions as the stress modulus tends to zero. We show that under suita...
Abstract: In this paper we consider the Stochastic isothermal, nonlinear, incompressible bipolar viscous fluids driven by a genuine cylindrical fractional Bronwnian motion with Hurst parameter $H \in ...
For compressible fluids under shock wave reaction, we have proposed two Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL \textbf{90} (2010) 54003; Phys. Lett. A \text...
e consider a model describing the behavior of a mixture of two incompressible fluids with the same density in isothermal conditions. The model consists of three balance equations: continuity equation,...
We elucidate the universal scaling and multiscaling properties of the nonequilibrium steady states (NESS) in a driven symmetric binary fluid (SBF) mixture in its homogeneous miscible phase in three di...
The confined, quasi-two-dimensional guiding center plasma and a system of interacting line vortices in an ideal fluid are examples of Hamiltonian systems with infinite interaction distances. The exis...
We consider a SPDE (stochastic partial differential equation) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force.Here, the extra stress tenso...
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in Rd, in a large functional setting (C \ L1). This is a stability result, solutions select an e...

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