Results 51 to 60 of about 116 (91)

Global and non global solutions for a class of coupled parabolic systems

Advances in Nonlinear Analysis, 2020
In the present paper, we investigate the global well-posedness and exponential decay for some coupled non-linear heat equations. Moreover, we discuss the global and non global existence of solutions using the potential well method.
Saanouni T.
doaj   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

Demonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
doaj   +1 more source

Integro-differential systems with variable exponents of nonlinearity

Open Mathematics, 2017
Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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The impact factors of the risk index and diffusive dynamics of a SIS free boundary model. [PDF]

Infect Dis Model, 2022
Tong Y, Ahn I, Lin Z.
europepmc   +1 more source

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

Calc Var Partial Differ Equ, 2021
Bögelein V, Heran A, Schätzler L, Singer T.   +3 more
europepmc   +1 more source

Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Advanced Nonlinear Studies
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
doaj   +1 more source

Heterogeneous Diffusion and Nonlinear Advection in a One-Dimensional Fisher-KPP Problem. [PDF]

Entropy (Basel), 2022
Palencia JLD, Rahman SU, Redondo AN.
europepmc   +1 more source

Higher-order anisotropic models in phase separation

Advances in Nonlinear Analysis, 2017
Our aim in this paper is to study higher-order (in space) Allen–Cahn and Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor.
Cherfils Laurence, Miranville Alain, Peng Shuiran   +2 more
doaj   +1 more source

Results on existence for generalized nD Navier-Stokes equations

Open Mathematics, 2019
In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
doaj   +1 more source