Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others
Various problems involving the interplay of asymptotics and numerics in the analysis of wave propaga...
International audienceNonlinear Dispersive Equations are partial differential equations that natural...
A general method is developed for finding approximate "asymptotic " solutions to a large c...
A large number of physical phenomena are modeled by nonlinear partial differential equations, subjec...
Special issue of Discrete and Continuous Dynamical Systems - Series S, Vol. 2, No.
processes are of great importance in the applications of differential equations, dynam
Special issue of Discrete and Continuous Dynamical Systems - Series S, Vol. 2, No.
Special issue of Discrete and Continuous Dynamical Systems - Series S, Vol. 2, No.
. It is proved herein that certain smooth, global solutions of a class of quasi-linear, dissipative,...
We consider coupled nonlinear equations modelling a family of travelling wave solutions. The goal of...
We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear ...
We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear ...
The asymptotic behavior of dissipative evolutionary equations is one of the area of applied analysis...
International audienceNonlinear Dispersive Equations are partial differential equations that natural...
A massive transition of interest from solving linear partial differential equations to solving nonli...
Various problems involving the interplay of asymptotics and numerics in the analysis of wave propaga...
International audienceNonlinear Dispersive Equations are partial differential equations that natural...
A general method is developed for finding approximate "asymptotic " solutions to a large c...
A large number of physical phenomena are modeled by nonlinear partial differential equations, subjec...
Special issue of Discrete and Continuous Dynamical Systems - Series S, Vol. 2, No.
processes are of great importance in the applications of differential equations, dynam
Special issue of Discrete and Continuous Dynamical Systems - Series S, Vol. 2, No.
Special issue of Discrete and Continuous Dynamical Systems - Series S, Vol. 2, No.
. It is proved herein that certain smooth, global solutions of a class of quasi-linear, dissipative,...
We consider coupled nonlinear equations modelling a family of travelling wave solutions. The goal of...
We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear ...
We study large-time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear ...
The asymptotic behavior of dissipative evolutionary equations is one of the area of applied analysis...
International audienceNonlinear Dispersive Equations are partial differential equations that natural...
A massive transition of interest from solving linear partial differential equations to solving nonli...
Various problems involving the interplay of asymptotics and numerics in the analysis of wave propaga...
International audienceNonlinear Dispersive Equations are partial differential equations that natural...
A general method is developed for finding approximate "asymptotic " solutions to a large c...