Results 31 to 40 of about 884 (117)

Constructive Approach of the Solution of Riemann Problem for Shallow Water Equations with Topography and Vegetation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
We investigate the Riemann Problem for a shallow water model with porosity and terrain data. Based on recent results on the local existence, we build the solution in the large settings (the magnitude of the jump in the initial data is not supposed to be “
Ion Stelian, Cruceanu Stefan-Gicu, Marinescu Dorin   +2 more
doaj   +1 more source

Accurate novel explicit complex wave solutions of the (2+1)-dimensional Chiral nonlinear Schrödinger equation

Results in Physics, 2021
This manuscript investigates the accuracy of the solitary wave solutions of the (2+1)-dimensional nonlinear Chiral Schrödinger ((2+1)-D CNLS) equation that are constructed by employing two recent analytical techniques (modified Khater (MKhat) and ...
B. Alshahrani, H.A. Yakout, Mostafa M.A. Khater, Abdel-Haleem Abdel-Aty, Emad E. Mahmoud, Dumitru Baleanu, Hichem Eleuch   +6 more
doaj  

Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain [PDF]

, 2014
In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $\Omega \subset \mathbb{R}^N$ ($N\in\{2,3\}$), not necessarily being convex.
Jiang, Jie, Wu, Hao, Zheng, Songmu
core  

Necrotic tumor growth: an analytic approach

, 2012
The present paper deals with a free boundary problem modeling the growth process of necrotic multi-layer tumors. We prove the existence of flat stationary solutions and determine the linearization of our model at such an equilibrium.
A Friedman, A Friedman, A Friedman, A Friedman, AH Kyle, D Gilbarg, F Zhou, H Byrne, J Escher, J Ward, JB Kim, Martin Kohlmann, MG Crandall, S Cui, W Müller-Klieser   +14 more
core   +1 more source

Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

Results in Physics, 2021
The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater, A. El-Sayed Ahmed, M.A. El-Shorbagy   +2 more
doaj  

A degenerate migration-consumption model in domains of arbitrary dimension

Advanced Nonlinear Studies
In a smoothly bounded convex domain Ω⊂Rn ${\Omega}\subset {\mathbb{R}}^{n}$ with n ≥ 1, a no-flux initial-boundary value problem forut=Δuϕ(v),vt=Δv−uv, $$\begin{cases}_{t}={\Delta}\left(u\phi \left(v\right)\right),\quad \hfill \\ {v}_{t}={\Delta}v-uv ...
Winkler Michael
doaj   +1 more source

Analysis of a mathematical model for the growth of cancer cells

, 2012
In this paper, a two-dimensional model for the growth of multi-layer tumors is presented. The model consists of a free boundary problem for the tumor cell membrane and the tumor is supposed to grow or shrink due to cell proliferation or cell dead.
Kohlmann, Martin
core   +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

Protection Zones in Periodic-Parabolic Problems

Advanced Nonlinear Studies, 2020
This paper characterizes whether or ...
López-Gómez Julián
doaj   +1 more source

A simple derivation of BV bounds for inhomogeneous relaxation systems [PDF]

, 2014
We consider relaxation systems of transport equations with heterogeneous source terms and with boundary conditions, which limits are scalar conservation laws. Classical bounds fail in this context and in particular BV estimates.
Perthame, Benoit, Seguin, Nicolas, Tournus, Magali   +2 more
core   +2 more sources