Doubly Nonlinear Equations of Porous Medium Type
Sign Up to like & getrecommendations! Published in 2018 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-1221-9
Abstract: AbstractIn this paper we prove the existence of solutions to doubly nonlinear equations whose prototype is given by $$\partial_t u^m- {\rm div}\, D_{\xi}\, f(x,Du) =0,$$∂tum-divDξf(x,Du)=0,with $${m\in (0,\infty )}$$m∈(0,∞) , or more generally with an increasing… read more here.
Keywords: medium type; nonlinear equations; doubly nonlinear; equations porous ... See more keywords
Partial Regularity for Type Two Doubly Nonlinear Parabolic Systems
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DOI: 10.1007/s00205-018-1286-5
Abstract: We consider weak solutions v : $${U \times (0, T ) \rightarrow \mathbb{R}^{m}}$$U×(0,T)→Rm of the nonlinear parabolic system $${D\psi({v}_{t} ) = {\rm div} DF({D}_{v}),}$$Dψ(vt)=divDF(Dv), where $${\psi}$$ψ and F are convex functions. This is a prototype… read more here.
Keywords: regularity type; partial regularity; nonlinear parabolic; doubly nonlinear ... See more keywords
On a doubly nonlinear PDE with stochastic perturbation
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DOI: 10.1007/s40072-018-0128-7
Abstract: We consider a doubly nonlinear evolution equation with multiplicative noise and show existence and pathwise uniqueness of a strong solution. Using a semi-implicit time discretization we get approximate solutions with monotonicity arguments. We establish a-priori… read more here.
Keywords: pde stochastic; approximate solutions; doubly nonlinear; show existence ... See more keywords
Existence of weak solutions of doubly nonlinear parabolic equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.024
Abstract: Abstract We deal with a Cauchy–Dirichlet problem with homogeneous boundary conditions on the parabolic boundary of a space–time cylinder for doubly nonlinear parabolic equations, whose prototype is ∂ t u − div ( | u… read more here.
Keywords: cauchy dirichlet; existence weak; nonlinear parabolic; doubly nonlinear ... See more keywords
The concavity of p-Rényi entropy power for doubly nonlinear diffusion equations and L-Gagliardo-Nirenberg-Sobolev inequalities
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DOI: 10.1016/j.jmaa.2019.123698
Abstract: Abstract We prove the concavity of p-Renyi entropy power for positive solutions to the doubly nonlinear diffusion equations on R n or compact Riemannian manifolds with nonnegative Ricci curvature. As applications, we give new proofs… read more here.
Keywords: gagliardo nirenberg; diffusion equations; concavity; doubly nonlinear ... See more keywords
Global Existence and Extinction Behaviour for a Doubly Nonlinear Parabolic Equation with Logarithmic Nonlinearity
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DOI: 10.1051/wujns/2023282099
Abstract: This paper is mainly focused on the global existence and extinction behaviour of the solutions to a doubly nonlinear parabolic equation with logarithmic nonlinearity. By making use of energy estimates method and a series of… read more here.
Keywords: extinction behaviour; global existence; existence extinction; doubly nonlinear ... See more keywords
Finite extinction for a doubly nonlinear parabolic equation of fast diffusion type
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DOI: 10.1108/ajms-08-2020-0042
Abstract: The purpose of this paper is to find a doubly nonlinear parabolic equation of fast diffusion in a bounded domain.,For positive and bounded initial data, the authors study the initial zero-boundary value problem.,The findings of… read more here.
Keywords: doubly nonlinear; fast diffusion; equation fast; parabolic equation ... See more keywords