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Global strong solutions to the 3D non-isentropic compressible Navier–Stokes-Poisson equations in bounded domains
This paper is concerned with initial-boundary-value problems to the 3D non-isentropic compressible Naiver-Stokes-Poisson equations, where the...
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Global well-posedness of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with large viscosity
In this paper, the initial-boundary value problem for the two-dimensional viscous, compressible and heat-conducting magnetohydrodynamics (MHD)...
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Well-posedness of strong solutions for the Vlasov equation coupled to non-Newtonian fluids in dimension three
We consider the Cauchy problem for coupled system of Vlasov and non-Newtonian fluid equations. We establish local well-posedness of the strong...
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Global Weak Solutions for 1D Compressible Navier–Stokes/Allen–Cahn System with Vacuum
In this paper, we consider a diffuse interface model coupled by Navier–Stokes equations and Allen–Cahn equations. We study 1D compressible system...
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Bifurcations and exact solutions in the model of nonlinear elastodynamics of materials with strong ellipticity condition
Rogers et al. (Wave Motion 56:147–164, 2015) investigated a class of deformations in nonlinear elastodynamics for an isotropic elastic solid subject...
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Blow-up criterion and the global existence of strong/classical solutions to Navier–Stokes/Allen–Cahn system
In this paper, we propose a new viscosity for a coupled compressible Navier–Stokes/Allen–Cahn system because it describes the motion of a gas in a...
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Existence of global weak solutions of inhomogeneous incompressible Navier–Stokes system with mass diffusion
This paper proves existence of a global weak solution to the inhomogeneous (i.e., non-constant density) incompressible Navier–Stokes system with mass...
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On global solutions to the 3D viscous, compressible, and heat-conducting magnetohydrodynamic flows
This paper concerns the Cauchy problem of three-dimensional viscous, compressible, and heat-conducting magnetohydrodynamic flows. Both some new
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Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum
This paper concerns the local well-posedness of barotropic compressible magneto-micropolar fluid equations with initial density containing vacuum...
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Tokyo Smart Global Megacity—Smart Sustainable Energy Solutions
Tokyo, is a uniquely placed to be the one of the only smart global mega cities in Asia, leads the path of technology for numerous aspects especially...
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A Class of Nonlinear Elasticity Problems with No Local but Many Global Minimizers
We present a class of models of elastic phase transitions with incompatible energy wells in an arbitrary space dimension, where in a hard device an...
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On the global solutions of discrete Safronov–Dubovskiǐ aggregation equation
In this article, the existence and uniqueness of global solutions to the discrete Safronov–Dubovskiǐ aggregation equation is studied. The unbounded...