e-book Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

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Moreover, numerical examples are given. The book goes through the papers and the results of several researchers, including the authors themselves, who have made great contributions to the subject in the last decades. The audience the authors have in mind are applied mathematicians, physicists, engineers and biologists who wish to understand asymptotic aspects of these diverse natural phenomena. Hormann, Monatshefte fur Mathematik, Vol.

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  • Large time behavior of solutions for a nonlinear damped wave equation.
  • Large time behavior of solutions for a nonlinear damped wave equation.
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  • Link Either by signing into your account or linking your membership details before your order is placed. Description Table of Contents Product Details Click on the cover image above to read some pages of this book! Kawakami and Y. Kawashima, M. Nakao and K. Li and Y. Marcati and K. Kyoto Univ. Nishihara and H. Ogawa and H. Orive, E.

    Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations

    Zuazua and A. Models Methods Appl. Reine Angew. Radu, G. Todorova and B. Sun and M. Paris Ser. I Math.


    • Thermal Energy Storage. The Report of a NATO Science Committee Conference Held at Turnberry, Scotland, 1st–5th March, 1976;
    • Nonlinear Partial Differential Equations.
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    • Takashi Narazaki. Global solutions to the Cauchy problem for the weakly coupled system of damped wave equations. Conference Publications , , Special : Ryo Ikehata , Marina Soga. Asymptotic profiles for a strongly damped plate equation with lower order perturbation. Shaoyong Lai , Yong Hong Wu. The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation. Cunming Liu , Jianli Liu.

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      Stability of traveling wave solutions to Cauchy problem of diagnolizable quasilinear hyperbolic systems. Sergey Zelik. Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent. Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities. Pata , Sergey Zelik. A remark on the damped wave equation.

      Nakamura , Tohru Ozawa.

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      The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order. Varlamov , Yue Liu. Cauchy problem for the Ostrovsky equation.

      Adrien Dekkers , Anna Rozanova-Pierrat. Cauchy problem for the Kuznetsov equation. Chengxia Lei , Yihong Du. Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model. Akisato Kubo. Giga and P. Rybka Phys. D, , no. We prove that the average growth rate of a solution is constant only in a subset, which will be called effective domain , of the whole domain and give the asymptotic profile in the subset. This means that the large-time behavior for noncoercive problems may depend on the space variable in general, which is different from the usual results under the coercivity condition.

      Therefore, we are naturally led to study singular Neumann problems for stationary Hamilton—Jacobi equations. We establish the existence and comparison results for singular Neumann problems and apply the results for a large-time asymptotic profile on the effective domain. Ei, S. Kawashima, M. Kimura and T.