Results 1 to 10 of about 183,010 (330)
Nonlinear elliptic-parabolic problems [PDF]
Archive for Rational Mechanics and Analysis, 2012 We introduce a notion of viscosity solutions for a general class of elliptic-parabolic phase transition problems. These include the Richards equation, which is a classical model in filtration theory.
Kim, Inwon C., Pozar, Norbert
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Discontinuous Mixed Covolume Methods for Parabolic Problems [PDF]
The Scientific World Journal, 2014 We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error ...
Ailing Zhu, Ziwen Jiang
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Noncoercive parabolic obstacle problems
Advances in Nonlinear Analysis, 2023 We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term.
Farroni Fernando +3 more
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Mathematics, 2023 The main aim of this article is to propose an adaptive method to solve multidimensional parabolic problems with fractional power elliptic operators.
Raimondas Čiegis +3 more
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Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
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Математичні Студії, 2023 Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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مجلة بغداد للعلوم, 2021 The aim of this paper is to derive a posteriori error estimates for semilinear parabolic interface problems. More specifically, optimal order a posteriori error analysis in the - norm for semidiscrete semilinear parabolic interface problems is derived by
Younis Abid Sabawi
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Mathematics, 2022 The main aim of this article is to propose a general framework for the theoretical analysis of discrete schemes used to solve multi-dimensional parabolic problems with fractional power elliptic operators. This analysis is split into three parts.
Raimondas Čiegis, Ignas Dapšys
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On some nonlinear parabolic equations with variable exponents and measure data
Moroccan Journal of Pure and Applied Analysis, 2020 We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.
Hamdaoui Bouchra El, Bennouna Jaouad
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Well-posedness of boundary value problems for reverse parabolic equation with integral condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2018 Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation ...
Charyyar Ashyralyyev
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