Results 191 to 200 of about 1,364,858 (220)

Hyperbolic-Parabolic Singular Perturbations for Quasilinear Equations

SIAM Journal on Mathematical Analysis, 1989
A hyperbolic-parabolic singular perturbation problem is considered for a quasilinear wave equation that arises in one-dimensional nonlinear elasticity. An initial boundary value problem is treated, in which there is an initial layer at $t = 0$. It is proved that the solution of the reduced problem approximates the solution of the full problem uniformly
Benjamin F. Esham, Jr., Richard J. Weinacht   +1 more
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A note on the second order of accuracy difference schemes for hyperbolic–parabolic equations

Applied Mathematics and Computation, 2005
The nonlocal boundary value problem for hyperbolic-parabolic equations \[ \begin{cases} \frac{{d^2 u(t)}}{{dt^2}} + Au(t) = f(t), & {0 \leq t \leq 1}, \\ \frac{{du(t)}}{{dt}} + Au(t) = g(t), & {- 1 \leq t \leq 0}, \\ u({-1}) = \alpha u(\mu) + \varphi , & 0 \leq \alpha \leq 1,\;\;0 \leq \mu \leq 1.
Allaberen Ashyralyev, H. A. Yurtsever
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SOME IMBEDDING THEOREMS AND THE SOLVABILITY OF THE SYSTEM OF HYPERBOLIC-PARABOLIC EQUATIONS

Mathematical Models and Methods in Applied Sciences, 1993
A number of physical problems is described by a system of first order hyperbolic equations in a subregion of the physical domain, and of parabolic equations in the complementary domain. To state these problems correctly an investigation of the existence of the trace for a function which possesses a weak derivative in some direction is needed.
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On stable implicit difference scheme for hyperbolic–parabolic equations in a Hilbert space

Numerical Methods for Partial Differential Equations, 2008
AbstractThe first‐order of accuracy difference scheme for approximately solving the multipoint nonlocal boundary value problem for the differential equation in a Hilbert space H, with self‐adjoint positive definite operator A is presented. The stability estimates for the solution of this difference scheme are established.
Ashyralyev, Allaberen, Ozdemir, Yildirim
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Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations

Numerische Mathematik, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steinar Evje, Kenneth H. Karlsen
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ON A NON-LOCAL PROBLEM FOR MIXED HYPERBOLIC-PARABOLIC EQUATIONS

Журнал «Математические заметки СВФУ», 2018
Для модельного уравнения смешанного гиперболо-параболического типа с нагруженным слагаемым в параболической части исследована нелокальная задача с внутреннекраевыми условиями в гиперболической части области. A non-local boundary value problem with inner boundary
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A mixed boundary-value problem for a hyperbolic-parabolic equation

Mathematical Notes of the Academy of Sciences of the USSR, 1978
Let Ω be a bounded domain in the n-dimensional Euclidean space. In the cylindrical domain QT=Ω x [0, T] we consider a hyperbolic-parabolic equation of the form (1) $$Lu = k(x,t)u_{tt} + \sum\nolimits_{i = 1}^n {a_i u_{tx_i } - } \sum\nolimits_{i,j = 1}^n ...
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Regularization of Solution Operators for Quasilinear Hyperbolic-parabolic Partial Differential Equations

Journal of Partial Differential Equations, 1997
Summary: We list a hierarchy of hyperbolic-parabolic partial differential equations in terms of the regularization properties of their solution operators. This ranges from the most regularizing of the heat operator to the least, that of the hyperbolic conservation laws. We illustrate this with physical examples in gas dynamics and mechanics.
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Stability of hyperbolic-parabolic mixed type equations

Dynamics of Partial Differential Equations, 2019
Huashui Zhan, Zhaosheng Feng
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The Frankl' Problem for a Hyperbolic-Parabolic Equation

Differential Equations, 2003
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