Results 91 to 100 of about 12,988 (199)
Numerical Solution of a parabolic system with blowup of the solution
, 2009 In this paper, the author proposes a numerical method to solve a parabolic system of two quasilinear equations of nonlinear heat conduction with sources. The solution of this system may blow up in finite time.
Roux, Marie-Noëlle Le
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Explicit exponential decay bounds in quasilinear parabolic problems
Journal of Inequalities and Applications, 1999 This paper deals with classical solutions of some initial boundary value problems involving the quasilinear parabolic equation where are given functions. In the case of one space variable, i.e.
Piro S Vernier, Philippin GA
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Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]
J Evol Equ, 2021 Boccardo L, Orsina L, Porzio MM.
europepmc +1 more source
On a quasilinear parabolic integrodifferential equation
Differential and Integral Equations, 1995 The author considers the nonlinear Volterra integrodifferential equation \(u_ t - a* \text{div} h(\text{grad} u) = a*g\), where \(x \in \mathbb{R}^ n\), \(t \geq 0\) and where the initial function \(u(0,x) = w(x)\) is given. The kernel \(a\) satisfies \(a \in L^ 1_{\text{loc}} (\mathbb{R}^ +)\) and the parabolic condition \(\text{Re}\widetilde a ...
openaire +3 more sources
Solvability of a free-boundary problem describing the traffic flows
Electronic Journal of Differential Equations, 2015 We study a mathematical model of the vehicle traffic on straight freeways, which describes the traffic flow by means of equations of one-dimensional motion of the isobaric viscous gas.
Anvarbek Meirmanov +2 more
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Second-Order Regularity for Degenerate Parabolic Quasi-Linear Equations in the Heisenberg Group
MathematicsIn the Heisenberg group Hn, we obtain the local second-order HWloc2,2-regularity for the weak solution u to a class of degenerate parabolic quasi-linear equations ∂tu=∑i=12nXiAi(Xu) modeled on the parabolic p-Laplacian equation. Specifically, when 2≤p≤4,
Chengwei Yu +3 more
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On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]
Arch Ration Mech Anal, 2023 Borghini S, Chruściel PT, Mazzieri L.
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Abstract and Applied Analysis, 2014 A linearized compact difference scheme is provided for a class of variable coefficient parabolic systems with delay. The unique solvability, unconditional stability, and convergence of the difference scheme are proved, where the convergence order is four
Wei Gu
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Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Calc Var Partial Differ Equ, 2021 Bögelein V +3 more
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A note on $W^{1,p}$ estimates for quasilinear parabolic equations
Electronic Journal of Differential Equations, 2002 This work deals with the study of the $W^{1,p}$ regularity for the solutions to parabolic equations in divergence form. An argument by perturbation based in real analysis is used.
Ireneo Peral, Fernando Soria
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