How Long to Read Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials

How Long Does it Take to Read Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials?

It takes the average reader 5 hours and 59 minutes to read Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials by Gang Zhou

Assuming a reading speed of 250 words per minute. Learn more

Description

In this thesis we study dynamics of solitons in the generalized nonlinear Schrodinger equation (NLS) with an external potential in all dimensions except for 2. For a certain class of nonlinearities such an equation has solutions which are periodic in time and exponentially decaying in space, centered near different critical points of the potential. We call those solutions which are centered near the minima of the potential and which minimize energy restricted to L2 -unit sphere, trapped solitons or just solitons. In this thesis we prove, under certain conditions on the potentials and initial conditions, that trapped solitons are asymptotically stable. Moreover, if an initial condition is close to a trapped soliton then the solution looks like a moving soliton relaxing to its equilibrium position. The dynamical law of motion of the soliton (i.e. effective equations of motion for the soliton's center and momentum) is close to Newton's equation but with a dissipative term due to radiation of the energy to infinity.

How long is Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials?

Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials by Gang Zhou is 354 pages long, and a total of 89,916 words.

This makes it 119% the length of the average book. It also has 110% more words than the average book.

How Long Does it Take to Read Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 11 minutes to read Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials aloud.

What Reading Level is Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials?

Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials?

Asymptotic Dynamics of Trapped Solitons of Nonlinear Schrödinger Equations with Potentials by Gang Zhou is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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