Results 11 to 20 of about 43 (41)

Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence [PDF]

Data Availability Statement: This paper has no associated data.MSC: 35A1; 35B10; 35K45; 35Q30; 76D05.We consider evolution (non-stationary) spatially-periodic solutions to the n-dimensional non-linear Navier–Stokes equations of anisotropic fluids with ...
Mikhailov, SE
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Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
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Local And Global Existence Of Solutions To Semilinear Parabolic Initial Value Problems

, 2001
: This paper is devoted to establishing local and global existence theorems for autonomous semilinear parabolic initial value problems. The local existence theorems do not require Lipchitz condition on nonlinear term.
Shangbin Cui (Cui Shangbin), S.B. Cui (Cui Shangbin)   +1 more
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System of degenerate parabolic p-Laplacian

Open Mathematics
In this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
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A free boundary model for transport-induced neurite growth

European Journal of Applied Mathematics
We introduce a free boundary model to study the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled to ...
Greta Marino, Jan-Frederik Pietschmann, Max Winkler   +2 more
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Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Demonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
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Asymptotic behavior of global mild solutions to the Keller-Segel-Navier-Stokes system in Lorentz spaces

Advances in Nonlinear Analysis
The Keller-Segel-Navier-Stokes system in RN{{\mathbb{R}}}^{N} is considered, where N≥3N\ge 3. We show the existence and uniqueness of local mild solutions for arbitrary initial data and gravitational potential in scaling invariant Lorentz spaces ...
Takeuchi Taiki
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BEHAVIOR OF SOLUTIONS TO AN ACTIVATOR-INHIBITOR SYSTEM WITH BASIC PRODUCTION TERMS

, 2009
1.Introduction and Statement of Results 2.Collapse of Patterns 3.Collapse of patterns in a more general case 4.Concluding RemarksProceedings of the Czech-Japanese Seminar in Applied Mathematics 2008Takachiho University of Miyazaki, Miyazaki, Japan ...
Takagi, Izumi, Suzuki, Kanako
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Explicit Stable Methods For Second Order Parabolic Systems

, 2007
. We show that it is possible to construct stable, explicit finite difference approximations for the classical solution of the initial value problem for the parabolic systems of the form @ t = A(t; x) + f on R d , where A(t; x) = P ij @ i a ij (t; x)
Ned Zad Limi C, Ned Zad
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BEHAVIOR OF SOLUTIONS TO AN ACTIVATOR-INHIBITOR SYSTEM WITH BASIC PRODUCTION TERMS

We consider an activator-inhibitor system proposed by A. Gierer and H. Meinhardt in 1972, which is a model of the transplantation experiment on hydra. Nontrivial spatial patterns of the activator are expected to emerge in the system, and it is postulated
Takagi, Izumi, Suzuki, Kanako
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