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Displaying 241 – 260 of 336

On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis

Piotr Biler, Lorenzo Brandolese (2009)

Studia Mathematica

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.

On the parallel domain decomposition algorithms for time-dependent problems.

Lapin, A., Pieskä, J. (2002)

Lobachevskii Journal of Mathematics

On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.

Michael Struwe, Mariano Giaquinta (1982)

Mathematische Zeitschrift

On the Principle of Linearized Stability for Varitional Inequalities.

Pavol Quittner (1989)

Mathematische Annalen

On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type

Nikolaos S. Papageorgiou (1993)

Commentationes Mathematicae Universitatis Carolinae

In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.

On the quasiuniqueness of solutions of degenerate equations in Hilbert space.

Schuchman, Vladimir (1988)

International Journal of Mathematics and Mathematical Sciences

On the rate of convergence of difference schemes for the heat transfer equation on the solutions from $w_{2}^{s, s / 2}$

L. D. Ivanović, B. S. Jovanović, E. E. Süli (1984)

Matematički Vesnik

On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II

Jiří Jarušek (1991)

Applications of Mathematics

A quasilinear noncoupled thermoelastic system is studied both on a threedimensional bounded domain with a smooth boundary and for a generalized model involving the influence of supports. Sufficient conditions are derived under which the stresses are bounded and continuous on the closure of the domain.

On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes

Jiří Jarušek (1990)

Aplikace matematiky

The continuity and boundedness of the stress to the solution of the thermoelastic system is studied first for the linear case on a strip and then for the twodimensional model involving nonlinearities, noncontinuous heating regimes and isolated boundary nonsmoothnesses of the heated body.

On the regularity of the blow-up set for semilinear heat equations

Hatem Zaag (2002)

Annales de l'I.H.P. Analyse non linéaire

On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property

Oldřich John, Jana Stará (1984)

Commentationes Mathematicae Universitatis Carolinae

On the representation of non-negative solutions of linear parabolic systems of partial differential equations

J. Chabrowski (1973)

Annales Polonici Mathematici

On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems.

Crema, Janete, do Nascimento, Arnaldo Simal (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the Schauder estimates of solutions to parabolic equations

Qing Han (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the semigroups of age-size dependent population dynamcis with spatial diffusion.

W.L. Chan, Guo Bao Zhu (1990)

Manuscripta mathematica

On the singular limit of solutions to the Cox-Ingersoll-Ross interest rate model with stochastic volatility

Beáta Stehlíková, Daniel Ševčovič (2009)

Kybernetika

In this paper we are interested in term structure models for pricing zero coupon bonds under rapidly oscillating stochastic volatility. We analyze solutions to the generalized Cox–Ingersoll–Ross two factors model describing clustering of interest rate volatilities. The main goal is to derive an asymptotic expansion of the bond price with respect to a singular parameter representing the fast scale for the stochastic volatility process. We derive the second order asymptotic expansion of a solution...

On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

Rossitza Semerdjieva (2015)

Open Mathematics

We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.

On the solution of boundary value problems for linear parabolic equations of higher order

Vladimír Ďurikovič (1974)

Časopis pro pěstování matematiky

On the solution of inverse problems for generalized oxygen consumption

Denis Constales, Jozef Kačur (2001)

Applications of Mathematics

We present the solution of some inverse problems for one-dimensional free boundary problems of oxygen consumption type, with a semilinear convection-diffusion-reaction parabolic equation. Using a fixed domain transformation (Landau’s transformation) the direct problem is reduced to a system of ODEs. To minimize the objective functionals in the inverse problems, we approximate the data by a finite number of parameters with respect to which automatic differentiation is applied.

On the solution of reaction-diffusion equations with double diffusivity.

Aggarwala, B.D., Nasim, C. (1987)

International Journal of Mathematics and Mathematical Sciences

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