Results 61 to 70 of about 221 (109)
Propagation Of Singularities for Semilinear Hyperbolic Equations
, 1993 In this paper we use a particular kind of weighted Sobolev space and pseudo-differential operators to study H3s propagation of singularities for the solution u ∊ Hs of the equations with second order.
Linqi Liu
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Hyperbolic to Parabolic Relaxation Theory for Quasilinear First Order Systems
, 2000 In this paper we study the limiting behavior of nonhomogeneous hyperbolic systems of balance laws when the relaxed equilibria are described by means of systems of parabolic type.
Marcati, Pierangelo, Rubino, Bruno
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, 2004 We consider shooting methods for computing approximate solutions of control problems constrained by linear or nonlinear hyperbolic partial differential equations.
Yang, Sung-Dae
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Relaxation Approximations to Front Propagation
, 1997 We introduce a relaxation model for front propagation problems. Our proposed relaxation approximation is a semilinear hyperbolic system without singularities. It yields a direction-depedent normal velocity at the leading term and captures, in the Chapman–
Jin, S +3 more
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, 2011 International audienceWe consider a wave equation with semilinear porous acoustic boundary conditions. This is a coupled system of second and first order in time partial differential equations, with possibly semilinear boundary conditions on the ...
P. Jameson Graber +1 more
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Nonlinear stability of two-layer shallow water flows with a free surface. [PDF]
Proc Math Phys Eng Sci, 2020 de Melo Viríssimo F, Milewski PA.
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A nonlocal mixed semilinear problem for second-order hyperbolic equations
, 2003 In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition.
Mesloub, Said, Messaoudi, Salim A.
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Explicit Formulas to the Solutions of Several Equations of Mathematical Physics [PDF]
, 2014 [Popivanov Petar; Попиванов Петър]Explicit formulas to the solutions of several equations of mathematical physics including semilinear multidimensional Klein-Gordon equation, the wave equation, Kadomtsev-Petviashvili equation and cubic first order ...
Popivanov, Petar
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Singular limits for nonlinear hyperbolic systems
, 2002 The paper is concerned with singular limits for the nonlinear hyperbolic system Wt+A(x,W,D)W=1εF(W),(1) where W=W(x,t) takes values in RN, x∈Rd, A(x,W,D) is a first-order differential or pseudodifferential operator, F(W) denotes the nonhomogeneous term,
DONATELLI, DONATELLA +1 more
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On Dynamics and Bifurcations of Nonlinear Evolution Equations Under Numerical Discretization
, 1999 This article reviews recent results on long-time behaviour, invariant sets and bifurcations of evolution equations under discretization by numerical methods. The emphasis is on time discretization.
Christian Lubich
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