Results 61 to 70 of about 234 (137)
On the Two-phase Fractional Stefan Problem
Advanced Nonlinear Studies, 2020 The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix +2 more
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On some inverse problems for a degenerate parabolic equation with involution
Open MathematicsIn this paper, the solvability of some initial-boundary value problems is considered for a nonlocal analogue of the degenerate parabolic equation. The inverse problems are studied for the case where it is necessary to find not only a solution to the ...
Turmetov Batirkhan, Shalkhar Ainur
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Advances in Nonlinear AnalysisIn this work, we consider a flux-limited chemotaxis model with indirect signal production and nonlinear diffusion,ut=∇⋅(D(u)∇u)−∇⋅(uf(|∇v|2)∇v)−k1u+k2w,x∈Ω,t>0,0=Δv−μ(t)+w,x∈Ω,t>0,wt=Δw−λ1w+λ2u,x∈Ω,t>0 $$\begin{cases}_{t}=\nabla \cdot \left(D\left(u ...
Tu Xinyu, Mu Chunlai, Minghua Zhang
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On the Cauchy problem of a degenerate parabolic-hyperbolic PDE with Lévy noise
Advances in Nonlinear Analysis, 2017 In this article, we deal with the stochastic perturbation of degenerate parabolic partial differential equations (PDEs). The particular emphasis is on analyzing the effects of a multiplicative Lévy noise on such problems and on establishing a well ...
Biswas Imran H. +2 more
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The global solution of a diffusion equation with nonlinear gradient term
, 2013 Consider the viscosity solution to the initial boundary value problem of the diffusion equation ut=div(|∇um|p−2∇um)−uq1m|∇um|p1, with p>1, m>0, p1≤2, p>2p1, its initial value u(x,0)=u0(x)∈Lq−1+1m(Ω), 3>q>1 and its boundary ...
Huashui Zhan
semanticscholar +1 more source
Analysis and Geometry in Metric SpacesWe consider degenerate Kolmogorov-Fokker-Planck operators ℒu=∑i,j=1qaij(x,t)uxixj+∑k,j=1Nbjkxkuxj−ut,{\mathcal{ {\mathcal L} }}u=\mathop{\sum }\limits_{i,j=1}^{q}{a}_{ij}\left(x,t){u}_{{x}_{i}{x}_{j}}+\mathop{\sum }\limits_{k,j=1}^{N}{b}_{jk}{x}_{k}{u}_{{
Biagi Stefano, Bramanti Marco
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Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line
Advanced Nonlinear Studies, 2017 Kamin and Vázquez [11] proved in 1991 that solutions to the Cauchy–Dirichlet problem for the porous medium equation ut=(um)xx${u_{t}=(u^{m})_{xx}}$, m>1${m>1}$, on the half-line with zero boundary data and nonnegative compactly supported integrable ...
Cortázar Carmen +2 more
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Selfsimilar Solutions of Barenblatt's Model for Turbulence
, 1993 . In this paper we consider Barenblatt's k \Gamma ffl model for turbulence. For the case of equal diffusion coefficients ff and fi Barenblatt found explicit compactly supported selfsimilar solutions.
Josephus Hulshof
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Diffraction problems for quasilinear parabolic systems with boundary intersecting interfaces
, 2013 In this paper, we discuss the n-dimensional diffraction problem for weakly coupled quasilinear parabolic system on a bounded domain Ω, where the interfaces Γk (k=1,…,K−1) are allowed to intersect with the outer boundary ∂ Ω and the coefficients of the ...
Qi-Jian Tan, C. Pan
semanticscholar +1 more source
, 2002 The work is concerned with the existence and the qualitative behavior of solutions of certain nonlinear Volterra integro-differential equations. Both abstract equations with accretive operators and concrete equations of elliptic-parabolic type are ...
Jakubowski, Volker G.
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