Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700050
Abstract: We consider Navier-Stokes equations for compressible viscous fluids in one dimension. We prove the existence of global strong solution with large initial data for the shallow water system. The key ingredient of the proof relies… read more here.
Keywords: existence global; strong solution; global strong; stokes equations ... See more keywords
Existence of global bounded smooth solutions for the one‐dimensional nonisentropic Euler system
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6933
Abstract: We study the existence of global bounded smooth solutions to the one‐dimensional (1D) nonisentropic Euler system with large initial data. We derive a group of characteristic decompositions for the 1D nonisentropic Euler system. Using these… read more here.
Keywords: global bounded; existence global; euler system; nonisentropic euler ... See more keywords
On the existence of global strong solutions to 2D compressible Navier–Stokes–Smoluchowski equations with large initial data
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2019.03.005
Abstract: Abstract This paper studies a fluid–particle interaction model for the evolution of particles dispersed in fluid. This coupled model consists of the Smoluchowski equation for the particle part, and 2D isentropic compressible Navier–Stokes equations for… read more here.
Keywords: strong solutions; initial data; large initial; navier stokes ... See more keywords
Existence of global weak solution for quantum Navier–Stokes system
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x2050038x
Abstract: In this paper, the barotropic compressible quantum Navier–Stokes equations with a density-dependent viscosity in a three-dimensional torus is studied. By introducing a cold pressure to handle the c... read more here.
Keywords: existence global; global weak; weak solution; quantum navier ... See more keywords
Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-1027-6
Abstract: In this paper, we are concerned with the fractional Schrödinger equation with time fraction order, fractional Laplacian, and derivative terms. The existence of weak solution is established, as well as the existence of global attractor… read more here.
Keywords: existence global; order; global attractor; schr dinger ... See more keywords
The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7040321
Abstract: In this paper, neutral-type competitive neural networks with mixed time-varying delays and leakage delays on time scales are proposed. Based on the contraction fixed-point theorem, some sufficient conditions that are independent of the backwards graininess… read more here.
Keywords: existence global; neutral type; time scales; time ... See more keywords
Existence and global attractivity of periodic solutions in a max-type system of difference equations
Sign Up to like & getrecommendations! Published in 2017 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1601-62
Abstract: We consider in this paper the following system of difference equations with maximum x(n+ 1) = max{f1(n, x(n)), g1(n, y(n))} , n = 0, 1, 2, . . . , y(n+ 1) = max{f2(n,… read more here.
Keywords: difference equations; existence global; system; global attractivity ... See more keywords