Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6286
Abstract: We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for… read more here.
Keywords: boundary value; global existence; nonlocal parabolic; solutions initial ... See more keywords
Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01589-1
Abstract: In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a… read more here.
Keywords: variable exponents; equations variable; hyperbolic equations; global existence ... See more keywords
Global Existence of Near-Affine Solutions to the Compressible Euler Equations
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-019-01387-4
Abstract: We establish the global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into a vacuum. Vacuum states can occur with either smooth or singular… read more here.
Keywords: global existence; compressible euler; existence; solutions compressible ... See more keywords
Global Existence and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Pseudo-parabolic Equations
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8037-x
Abstract: In this paper, we study the initial-boundary value problem for the semilinear pseudo-parabolic equations ut − ΔXut − ΔXu = |u|p−1u, where X = (X1,X2,…,Xm) is a system of real smooth vector fields which satisfy… read more here.
Keywords: time; finitely degenerate; pseudo parabolic; parabolic equations ... See more keywords
Global Existence of a Weak Solution for a Model in Radiation Magnetohydrodynamics
Sign Up to like & getrecommendations! Published in 2017 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-016-0093-y
Abstract: We consider a simplified model based on the Navier-Stokes-Fourier system coupled to a transport equation and the Maxwell system, proposed to describe radiative flows in stars. We establish global-in-time existence for the associated initial-boundary value… read more here.
Keywords: global existence; existence weak; weak solution; magnetohydrodynamics ... See more keywords
Global existence and boundedness of a forager-exploiter system with nonlinear diffusions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.12.028
Abstract: Abstract We study a forager-exploiter model with nonlinear diffusions { u t = ∇ ⋅ ( ( u + 1 ) m ∇ u ) − ∇ ⋅ ( u ∇ w ) , v… read more here.
Keywords: nonlinear diffusions; forager exploiter; existence boundedness; global existence ... See more keywords
Global existence for the p-Sobolev flow
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.01.018
Abstract: Abstract In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p = 2 our theory includes the… read more here.
Keywords: existence sobolev; global existence; flow; sobolev flow ... See more keywords
Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.07.029
Abstract: Abstract Global existence is established for classical solutions to a chemotaxis model with signal-dependent motility for a general class of motility functions γ which may in particular decay in an arbitrary way at infinity. Assuming… read more here.
Keywords: model signal; motility; signal dependent; chemotaxis model ... See more keywords
Global existence and large time behavior of solutions for compressible quantum magnetohydrodynamics flows in T3
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.03.060
Abstract: Abstract The present paper concerns with compressible quantum magnetohydrodynamic flows in T 3 . This new model was derived by Haas [13] from a Wigner–Maxwell system. First, we reformulate this system as the quantum Euler–Maxwell… read more here.
Keywords: global existence; compressible quantum; behavior solutions; time behavior ... See more keywords
Global existence in critical Besov spaces for the coupled chemotaxis–fluid equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.041
Abstract: Abstract In this paper, we are concerned with a system coupling the parabolic–parabolic Keller–Segel system to the viscous incompressible Navier–Stokes equations in spatial dimensions three, and prove the global existence of solutions with small initial… read more here.
Keywords: global existence; existence critical; critical besov; besov spaces ... See more keywords
Global existence and decay of solutions for soft potentials to the Fokker–Planck–Boltzmann equation without cut-off
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123947
Abstract: Abstract This paper is concerned with the large-time behavior of classical solutions near a given global Maxwellian to the Cauchy problem of the Fokker–Planck–Boltzmann equation for non-cutoff soft potentials. Our analysis is based on the… read more here.
Keywords: global existence; fokker planck; soft potentials; boltzmann equation ... See more keywords