Results 261 to 270 of about 138,198 (291)

Structure of boundary blow-up for higher-order quasilinear parabolic equations

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004
The nonhomogeneous Dirichlet boundary value problem for a general higher order quasilinear parabolic equation is considered. The boundary function is assumed to blow up in finite time. Some sharp estimates of propagation of singularities in the interior of the domain are established.
Galaktionov, V. A., Shishkov, A. E.
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Hölder continuity of solutions for higher order degenerate nonlinear parabolic equations

Annali di Matematica Pura ed Applicata, 1998
The authors consider a higher-order degenerate quasilinear parabolic equation. Regularity of bounded solutions and Hölder continuity are investigated.
Nicolosi, F., Skrypnik, I. V.
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Higher-order operator splitting methods for deterministic parabolic equations

International Journal of Computer Mathematics, 2007
The Sheng-Suzuki theorem states that all exponential operator splitting methods of order greater than 2 must contain negative time integration. There have been claims in the literature that higher-order splitting methods for deterministic parabolic equations are unstable due to this fact.
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Initial value problem of a higher order parabolic equation

Periodica Mathematica Hungarica, 1988
In the present work the initial value problem of the equation \[ D^ k_ t u=\sum^{k}_{j=1}a_ jD_ t^{k-j}(-1)^{m+1} \nabla^{2m} u+\sum^{k-1}_{j=0}\Lambda_ j(t)D^ j_ t u \] where \((A_ j(t)\), \(j=0,1,...,k-1\), \(0\leq t\leq T)\) is a family of bounded linear operators defined on \(C(R_ n)\), the space of all continuous functions defined on \(R_ n\) with
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Solutions to higher-order anisotropic parabolic equations in unbounded domains

Sbornik: Mathematics, 2014
Summary: The paper is devoted to a~certain class of doubly nonlinear higher-order anisotropic parabolic equations. Using Galerkin approximations it is proved that the first mixed problem with homogeneous Dirichlet boundary condition has a~strong solution in the cylinder \( D=(0,\infty)\times\Omega\), where \( \Omega\subset\mathbb R^n\), \( n\geq 3 ...
Kozhevnikova, L. M., Leont'ev, A. A.
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Inverse Problems for Higher Order Parabolic Equations

1998
Inverse problems for higher order parabolic equations.
KAMYNIN V. L., SAROLDI M., FRANCINI, ELISA   +2 more
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Higher order parabolic approximations of the reduced wave equation

Journal of Sound and Vibration, 1986
Asymptotic solutions of order \(k^{-n}\) are developd for the reduced wave equation. Here k is a dimensionless wave number and n is the arbitrary order of the approximation. These approximations are an extension of geometric acoustics theory and provide corrections to that theory in the form of multiplicative functions which satisfy parabolic partial ...
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Higher Order Multipoint Flux Mixed Finite Element Methods for Parabolic Equation

Computers & Mathematics with Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guoliang, Xu, Wenwen, Li, Xindong
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Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

2014
The book first studies the particular self-similar singularity solutions (patterns) of the equations. This approach allows four different classes of nonlinear PDEs to be treated simultaneously to establish their striking common features. The book describes many properties of the equations and examines traditional questions of existence/nonexistence ...
MITIDIERI, ENZO, Galaktionov Victor A., Pohozaev Stanislav I.   +2 more
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials

Chemical Reviews, 2022
Zhiwei Li Li, Yadong Yin
exaly