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Displaying 1341 – 1360 of 2227

On the Stabilization of the Wave Equation by the Boundary

Cardoso, Fernando, Vodev, Georgi (2002)

Serdica Mathematical Journal

* Partially supported by CNPq (Brazil)We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.

On the stabilization of wave-advection coupling. (Sur la stabilisation d'un couplage ondes-advection.)

Ammar Khodja, F., Benabdallah, A., Teniou, D. (1997)

Portugaliae Mathematica

On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws

Michel Rascle (1991)

Annales de l'I.H.P. Analyse non linéaire

On the strongly damped wave equation with nonlinear damping and source terms.

Yu, Shengqi (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the uniformly continuity of the solution map for two dimensional wave maps.

Georgiev, Svetlin, Georgieva, Penka Vasileva (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type $u_{x y} = f (x, y, u, u_{x}, u_{y})$

Vladimír Ďurikovič (1968)

Archivum Mathematicum

On the validity of Chapman-Enskog expansions for shock waves with small strength.

Bedjaoui, Nabil, Klingenberg, Christian, LeFloch, Philippe G. (2004)

Portugaliae Mathematica. Nova Série

On the validity of Huygens' principle for second order partial differential equations with four independent variables. II. A sixth necessary condition

W. G. Anderson, R. G. McLenaghan (1994)

Annales de l'I.H.P. Physique théorique

On the validity of Huygens' principle for second order partial differential equations with four independent variables. Part I : derivation of necessary conditions

R. G. McLenaghan (1974)

Annales de l'I.H.P. Physique théorique

On the vanishing viscosity approximation to the Cauchy problem for a 2 × 2 system of conservation laws

Bruno Rubino (1993)

Annales de l'I.H.P. Analyse non linéaire

On the wave equation in curved spacetime

Yvonne Choquet-Bruhat, Demetrios Christodoulou, Mauro Francaviglia (1979)

Annales de l'I.H.P. Physique théorique

On the Wave Equation on a Compact Riemannian Manifold withour Conjugate Points.

Pierre H. Bérard (1977)

Mathematische Zeitschrift

On the wave equations with memory in noncylindrical domains.

Santos, Mauro L. (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the weakly nonlinear wave equation involving a small parameter at the highest derivative

Marie Kopáčková (1969)

Czechoslovak Mathematical Journal

On the well posedness of a system of balance laws with $L^{\infty}$ data

Marta Lewicka (1999)

Rendiconti del Seminario Matematico della Università di Padova

On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems

Carlos Parés, Manuel Castro (2004)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys. 102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...

On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems

Carlos Parés, Manuel Castro (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys.102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...

On the well-posedness and regularity of the wave equation with variable coefficients

Bao-Zhu Guo, Zhi-Xiong Zhang (2007)

ESAIM: Control, Optimisation and Calculus of Variations

An open-loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed.

On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in $t$ and degenerate in $t = T$

Tamotu Kinoshita (1998)

Rendiconti del Seminario Matematico della Università di Padova

On time optimal control of the wave equation, its regularization and optimality system

Karl Kunisch, Daniel Wachsmuth (2013)

ESAIM: Control, Optimisation and Calculus of Variations

An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.

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