Results 61 to 70 of about 241 (185)
A Non‐Intrusive, Online Reduced Order Method for Non‐Linear Micro‐Heterogeneous Materials
International Journal for Numerical Methods in Engineering, Volume 126, Issue 5, 15 March 2025.ABSTRACT In this contribution we present an adaptive model order reduction technique for non‐linear finite element computations of micro‐heterogeneous materials. The presented projection‐based method performs updates of the reduced basis during the iterative process and at the end of each load step.
Yasemin von Hoegen +2 more
wiley +1 more source
Existence of solutions to Burgers equations in a non-parabolic domain
Electronic Journal of Differential Equations, 2018 In this article, we study the semilinear Burgers equation with time variable coefficients, subject to boundary condition in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed.
Yassine Benia, Boubaker-Khaled Sadallah
doaj
Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term
Advances in Difference Equations, 2018 This paper deals with the existence and non-existence of the global solutions to the Cauchy problem of a semilinear parabolic equation with a gradient term.
Yang Na +3 more
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Existence and continuity of global attractors for a degenerate semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj
Degenerate semilinear parabolic equations
Differential and Integral Equations, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Semilinear evolution equations of the parabolic type [PDF]
Annales Polonici Mathematici, 1999 The author proves an existence and uniqueness result concerning classical solutions to a semilinear time-dependent differential equation in a real Banach space.
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Semilinear parabolic equations in $L^1(\Omega)$
Advances in Differential Equations, 2007 n ...
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Electronic Journal of Differential Equations, 2001 In this paper we prove an approximate controllability result for an abstract semilinear evolution equation in a Hilbert space and we obtain as consequences the approximate controllability for some classes of elliptic and parabolic problems subjected to ...
Ioan Bejenaru +2 more
doaj
Abstract and Applied Analysis, 2013 This work is concerned with a mixed boundary value problem for the semilinear parabolic equation with a memory term and generalized Lewis functions which depends on both spacial variable and time.
Zhong Bo Fang, Liru Qiu
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Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations
Discrete and Continuous Dynamical Systems - B, 2019 The paper gives a comprehensive study of Inertial Manifolds for hyperbolic relaxations of an abstract semilinear parabolic equation in a Hilbert space. A new scheme of constructing Inertial Manifolds for such type of problems is suggested and optimal spectral gap conditions which guarantee their existence are established.
Chepyzhov, Vladimir V. +3 more
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