[PDF] Top 20 On a global classical solution of a quasilinear hyperbolic equation

... In this paper we study the existence and uniqueness of global classical solutions of the first inltlal-boundary value problem for the equation:.. & x]0,T[, where R8: the boundary is a sm[r] ... See full document

... A quasilinear viscoelastic wave equation with acoustic boundary condition is considered; Some assumptions and needed lemmas are presented; The nonexistence of the weak solu- tion with small positive initial ... See full document

... the solution is global in time under some conditions without the relation between p and ...local solution blows up in finite time if r > p and the initial energy is nonnegative, and gave the decay ... See full document

... a,b > 0, associated with initial and Dirichlet boundary conditions at one part and acoustic boundary conditions at another part, respectively. We prove, under suitable conditions on α , β , m, p and for negative ... See full document

... The classical Swift-Hohenberg equation has a good agreement with the systems pos- sessing slow dynamics. Such slow dynamics can be found in the systems close to ther- modynamic equilibrium. Also, one can ... See full document

... the global genera- lized solution and the global classical for the initial boundary value problem of Equation ...the global so- lutions for the initial boundary value problem of ... See full document

... theory of electromagnetic materials with memory which obey the Ohm’s law. It can also describe the temperature evolution in a rigid conductor with a memory. We refer to [8, 9] to see the details. In many works concerned ... See full document

... The interaction between the damping and the source terms was first considered by Levine 8, 9 in the case p q 2. He showed that solutions with negative initial energy blow up in finite time. Georgiev and Todorova 10 ... See full document

... GLOBAL CLASSICAL SOLUTIONS TO THE CAUCHY PROBLEM FOR A NONLINEAR WAVE EQUATION.. Universidade Federal Fluminense Instituto de MatemAtica- GAN.[r] ... See full document

... They proved the blow-up result of solutions with nonpositive initial energy as well as pos- itive initial energy for both the linear and nonlinear damping cases. In the absence of the viscoelastic term (g = 0), the ... See full document

... the classical Palais-Smale ((PS) for short) condition in W  ,p ...the classical Palais-Smale ((PS) for short) condition if every sequence { u n } in X such that I(u n ... See full document

... r-Laplacian equation with absorption and nonlinear boundary ...techniques, global existence and blow-up criteria of nonnegative solutions are ...blow-up solution is ... See full document

... proved a global existence result for γ ≥  and an exponential decay result for γ > . Cav- alcanti et al. [] studied problem (.) with ρ ≥  and γ ≥ . The authors showed that the energy decays to zero ... See full document

... nonlinear hyperbolic equations which do not necessarily have positive definite energy, it has become an important method to study the global existence and nonexistence of solu- tions for various nonlinear ... See full document

... the global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic ...any solution of the second ... See full document

... reducible quasilinear hyperbolic system was obtained in ...the global existence and asymptotic behavior to classical solutions can be obtained by Liu ...reducible quasilinear ... See full document

... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ... See full document

... order quasilinear hyperbolic Partial Differential Equations (PDEs) with appropriate initial and boundary conditions serve as models in many branches of physics, engineering, biology, ...numerical ... See full document

... Lie’s Classical Method to a (2+1) dimensional PDE equation to identify all possible solution for which this equation admits an exact solution and we obtain Lie algebra of infinitesimal ... See full document

... the global south by proxy powers, this arrangement created the conditions for what can now be regarded as an unprecedented period of global stabil- ity and economic growth across the ... See full document