Stability of stationary solutions for the glioma growth equations with radial or axial symmetries
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7194
Abstract: We investigate a class of nonlinear time‐partial differential equations describing the growth of glioma cells. The main results show sufficient conditions for the stability of stationary solutions for these kind of equations. More precisely, we… read more here.
Keywords: radial axial; stationary solutions; axial symmetries; growth ... See more keywords
Stability of stationary solutions for the unipolar isentropic compressible Navier–Stokes–Poisson system
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DOI: 10.1002/mma.7474
Abstract: The stationary solutions to the outflow problem for unipolar isentropic Navier–Stokes–Poisson system in a half line (0, ∞) have recently been shown to be asymptotically stable in13 and26, provided that all the L2 norms of initial… read more here.
Keywords: system; stokes poisson; navier stokes; stationary solutions ... See more keywords
Stationary solutions from the large D membrane paradigm
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2018)026
Abstract: A bstractIt has recently been shown that the dynamics of black holes in large number of dimensions D can be recast as the dynamics of a probe membrane propagating in the background spacetime which solves… read more here.
Keywords: stationary solutions; large membrane; solutions large; membrane paradigm ... See more keywords
On the Existence in the Sense of Sequences of Stationary Solutions for Some Systems of Non-Fredholm Integro-differential Equations
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1248-z
Abstract: We prove the existence in the sense of sequences of stationary solutions for some systems of reaction–diffusion type equations in the appropriate $$H^{2}$$H2 spaces. It is established that, under reasonable technical conditions, the convergence in… read more here.
Keywords: stationary solutions; solutions systems; existence sense; sense sequences ... See more keywords
Stationary Solutions and Nonuniqueness of Weak Solutions for the Navier–Stokes Equations in High Dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-019-01366-9
Abstract: Consider the unforced incompressible homogeneous Navier–Stokes equations on the d-torus $${\mathbb{T}^d}$$Td where $${d \geq 4}$$d≥4 is the space dimension. It is shown that there exist nontrivial steady-state weak solutions $${u \in L^{2} (\mathbb{T}^d)}$$u∈L2(Td). The result… read more here.
Keywords: stationary solutions; stokes equations; weak solutions; solutions nonuniqueness ... See more keywords
Exact Stationary Solutions to a General Form of the Kompaneets Equation
Sign Up to like & getrecommendations! Published in 2019 at "Astrophysics"
DOI: 10.1007/s10511-019-09591-6
Abstract: In the present work, we propose a method to build solutions to a general form of the stationary Kompaneets equation. In the nonrelativistic regime, special attention is given to cases where the solutions are expressed… read more here.
Keywords: exact stationary; general form; kompaneets equation; stationary solutions ... See more keywords
Zero Temperature Limit for Directed Polymers and Inviscid Limit for Stationary Solutions of Stochastic Burgers Equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2104-z
Abstract: We consider a space-continuous and time-discrete polymer model for positive temperature and the associated zero temperature model of last passage percolation type. In our previous work, we constructed and studied infinite-volume polymer measures and one-sided… read more here.
Keywords: temperature limit; stationary solutions; temperature; limit ... See more keywords
The structure of stationary solutions to a micro-electro mechanical system with fringing field
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.05.041
Abstract: Abstract We study the structure of stationary solutions of a micro-electro mechanical system with fringing field. It is known that there is a positive critical value such that no stationary solutions exist for the applied… read more here.
Keywords: stationary solutions; critical value; micro electro; structure stationary ... See more keywords
Hermite-Gaussian stationary solutions in strongly nonlocal nonlinear optical media
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DOI: 10.1016/j.optcom.2016.09.021
Abstract: Abstract Approximate analytical stationary solutions (SSs) of a cluster of Hermite–Gaussian (HG) shape is obtained in strongly nonlocal nonlinear media by the variational approach. The evolution of the HG SSs shows that when the order… read more here.
Keywords: stationary solutions; nonlocal nonlinear; hermite gaussian; gaussian stationary ... See more keywords
Stationary solutions of a heated magnetic fluid model
Sign Up to like & getrecommendations! Published in 2018 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1392013
Abstract: ABSTRACT We consider the differential system which describes the steady flow and heat transfer of an incompressible viscous magnetic fluid in the presence of a heat source and an external magnetic field. The system consists… read more here.
Keywords: stationary solutions; magnetic fluid; fluid; solutions heated ... See more keywords
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions
Sign Up to like & getrecommendations! Published in 2022 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s021820252250018x
Abstract: We show that partial mass concentration can happen for stationary solutions of aggregation–diffusion equations with homogeneous attractive kernels in the fast diffusion range. More precisely, we prove that the free energy admits a radial global… read more here.
Keywords: partial mass; mass; stationary solutions; diffusion ... See more keywords