Results 21 to 30 of about 3,753 (167)
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
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Singular Behavior in Nonlinear Parabolic Equations [PDF]
Transactions of the American Mathematical Society, 1985 At the beginning the authors study the question of singular solutions for elliptic boundary value problems \(\Delta u+f(u)=0\) on \(\Omega\), \(u=0\) on \(\partial \Omega\), \(u>0\) on \(\Omega\). Singular solution is the \(C^ 2(\Omega \setminus \{0\})\) solution of the problem for which, \(\overline{\lim}_{x\to 0}u(x)=+\infty.\) In theorem 1 the ...
Ni, Wei-Ming, Sacks, Paul
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Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
Journal of Taibah University for Science, 2020 In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad +3 more
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Anisotropic parabolic equations with variable nonlinearity [PDF]
Publicacions Matemàtiques, 2009 We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak ...
Antontsev, S., Shmarev, S.
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Observer Design for Lipschitz Nonlinear Parabolic PDE Systems With Unknown Input
IEEE Access, 2020 In this article, a novel method to design the observer for a class of uncertain Lipschitz nonlinear parabolic partial differential equations (PDE) systems is investigated.
Teng-Fei Li
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On some parabolic problems with measure sources
Moroccan Journal of Pure and Applied Analysis, 2019 One of the recent advances in the investigation of nonlinear parabolic equations with a measure as forcing term is a paper by F. Petitta in which it has been introduced the notion of renormalized solutions to the initial parabolic problem in divergence ...
Abdellaoui Mohammed
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control ...
jamil Amir Al-Hawasy +1 more
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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