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Mesh variational r-adaptivity for sharp modeling of brittle fracture
Dony G, Moës N, Remacle J.
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Initial boundary value problem
Nonlinear Dynamics of Structures Under Extreme Transient Loads, 2019Adnan Ibrahimbegovic, Naida Ademovicć
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Comput. Methods Appl. Math., 2020
An initial-boundary value problem, whose differential equation contains a sum of fractional time derivatives with orders between 0 and 1, is considered. Its spatial domain is ( 0 , 1 ) d {(0,1)^{d}} for some d ∈ { 1 , 2 , 3 } {d\in\{1,2,3\}} .
Chaobao Huang +3 more
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An initial-boundary value problem, whose differential equation contains a sum of fractional time derivatives with orders between 0 and 1, is considered. Its spatial domain is ( 0 , 1 ) d {(0,1)^{d}} for some d ∈ { 1 , 2 , 3 } {d\in\{1,2,3\}} .
Chaobao Huang +3 more
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Communications in Mathematical Physics, 2020
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geodesic.
G. Fournodavlos, Jacques Smulevici
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We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geodesic.
G. Fournodavlos, Jacques Smulevici
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, 2020
This paper deals with the initial boundary value problem for strongly damped semilinear wave equations with logarithmic nonlinearity u t t − Δ u − Δ u t = φ p ( u ) log | u | in a bounded domain Ω ⊂ R n .
Huafei Di, Y. Shang, Zefang Song
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This paper deals with the initial boundary value problem for strongly damped semilinear wave equations with logarithmic nonlinearity u t t − Δ u − Δ u t = φ p ( u ) log | u | in a bounded domain Ω ⊂ R n .
Huafei Di, Y. Shang, Zefang Song
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Solving initial–boundary-value creep problems
International Applied Mechanics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morachkovskii, O. K., Romashov, Yu. V.
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Soliton generation for initial-boundary-value problems
Physical Review Letters, 1992Summary: The solution of the initial-boundary-value problem of integrabale nonlinear evolution equations, with the spatial variable on a half-infinite line, can be reduced to the solution of a linear intregral equation. The asymptotic analysis of this equation for large \(t\) shows how the boundary conditions can generate solitons.
Fokas, A. S., Its, A. R.
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The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line
Communications in Contemporary Mathematics, 2019We prove local well-posedness for the initial-boundary value problem (IBVP) associated to the Schrödinger–Korteweg–de Vries system on right and left half-lines.
M. Cavalcante, A. Corcho
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Abstract initial boundary value problems
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1994We consider abstract initial boundary value problems in a spirit similar to that of the classical theory of linear semigroups. We assume that the solution u at time t is given by u(t) = S(t) ξ + V(t)g, where ξ and g are respectively the initial and boundary data and S(t) and V(t) are linear operators.
Palencia, C., Alonso Mallo, I.
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