Parabolic equations with degenerate diffusivity describe several phenomena like vehicular dynamics or flow in porous media. In this paper, we give some conditions on the singular diffusion that guarantee the well-posedness of continuous solutions for the Cauchy problem.

Smoothing Effect of Degenerate Diffusion / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - STAMPA. - 171:1(2021). [10.1007/s10440-020-00379-x]

Smoothing Effect of Degenerate Diffusion

Coclite, Giuseppe Maria
;
2021-01-01

Abstract

Parabolic equations with degenerate diffusivity describe several phenomena like vehicular dynamics or flow in porous media. In this paper, we give some conditions on the singular diffusion that guarantee the well-posedness of continuous solutions for the Cauchy problem.
2021
Smoothing Effect of Degenerate Diffusion / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - STAMPA. - 171:1(2021). [10.1007/s10440-020-00379-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/212884
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