Displaying similar documents to “Global existence of solutions for the non linear Boltzmann equation of semiconductor physics.”

Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term

Doan Thi Nhu Quynh, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2023)

Applications of Mathematics

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We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the kernel function and the nonlinear terms. Finally, under suitable...

Global well-posedness for the primitive equations with less regular initial data

Frédéric Charve (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in H ˙ 1 2 given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter ε is small enough, and for regular initial data (oscillating part in H ˙ 1 2 ∩ H ˙ 1 and quasigeostrophic part in H 1 ).