On integro-differential equations of parabolic and elliptic type
H. Ugowski (1970)
Annales Polonici Mathematici
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Displaying similar documents to “Numerical analysis of nonlinear elliptic-parabolic equations”
On integro-differential equations of parabolic and elliptic type
Existence and uniqueness of a classical solution of Fourier's first problem for nonlinear parabolic-elliptic systems.
Sapa, Lucjan (2006)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Some uniqueness theorems for solutions of parabolic and elliptic partial differential equations in unbounded regions
P. Besala, H. Ugowski (1969)
Colloquium Mathematicae
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On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis
Piotr Biler, Lorenzo Brandolese (2009)
Studia Mathematica
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We establish new results on convergence, in strong topologies, of solutions of the parabolic-parabolic Keller-Segel system in the plane to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.
Quasilinear Elliptic-Parabolic Differentail Equations.
Hans W. Alt, Stephan Luckhaus (1983)
Mathematische Zeitschrift
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Finite Element Variational Crimes in Parabolic-Elliptic Problems. Part I. Nonlinear Schemes.
Alexander Zenisek (1987)
Numerische Mathematik
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On the stability of solutions of nonlinear parabolic differential-functional equations
Stanisław Brzychczy (1996)
Annales Polonici Mathematici
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We consider a nonlinear differential-functional parabolic boundary initial value problem (1) ⎧A z + f(x,z(t,x),z(t,·)) - ∂z/∂t = 0 for t > 0, x ∈ G, ⎨z(t,x) = h(x) for t > 0, x ∈ ∂G, ⎩z(0,x) = φ₀(x) for x ∈ G, and the associated elliptic boundary value problem with Dirichlet condition (2) ⎧Az + f(x,z(x),z(·)) = 0 for x ∈ G, ⎨z(x) = h(x) for x ∈ ∂G ⎩ where , G is an open and bounded domain with (0 < α ≤ 1) boundary, the operator Az := ∑j,k=1m ajk(x) (∂²z/(∂xj...
A CAGD method for elliptic cross sections of circular parabolic quadrics.
Cvetićanin, Dragan, Obradović, Ratko (1998)
Novi Sad Journal of Mathematics
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Oblique boundary value problems for nonlinear parabolic equations
Uraltseva, N. N.
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A Harnack inequality for solutions of difference differential equations of elliptic-parabolic type.
Masashi Misawa (1993)
Mathematische Zeitschrift
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Finite Difference Solution of the Third Boundary Problem in Elliptic and Parabolic Equations.
A.R. MITCHELL, P. KEAST (1967)
Numerische Mathematik
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Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation.
Sahimi, Mohd Salleh, Alias, Norma, Mansor, Noreliza Abu, Nor, Norhalena Mohd (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Free vibration behavior of laminated composite stiffened elliptic parabolic shell panel with cutout
Sarmila Sahoo (2015)
Curved and Layered Structures
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In this paper free vibration behavior of laminated composite stiffened elliptic parabolic shell has been analyzed in terms of natural frequency and mode shape. Finite element method has been applied using an eight-noded curved quadratic isoparametric element for shell with a three noded curved beam element for stiffener. Cross and angle ply shells with different edge conditions have been studied varying the size and position of the cutouts to arrive at a set of inferences of practical...
The problem of data assimilation for soil water movement
François-Xavier Le Dimet, Victor Petrovich Shutyaev, Jiafeng Wang, Mu Mu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The soil water movement model governed by the initial-boundary value problem for a quasilinear 1-D parabolic equation with nonlinear coefficients is considered. The generalized statement of the problem is formulated. The solvability of the problem is proved in a certain class of functional spaces. The data assimilation problem for this model is analysed. The numerical results are presented.