## Found 505 Documents (Results 1–100)

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### On existence and admissibility of singular solutions for systems of conservation laws. (English)Zbl 07582593

MSC:  35L65 35L67 35Q35
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### Convergence rates of monotone schemes for conservation laws for data with unbounded total variation. (English)Zbl 07543420

MSC:  65Mxx 35Lxx 35Qxx
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### On the Cauchy problem for a one-dimensional conservation law with initial conditions coinciding with a power or exponential function at infinity. (English. Russian original)Zbl 07537745

Differ. Equ. 58, No. 3, 304-313 (2022); translation from Differ. Uravn. 58, No. 3, 309-318 (2022).
MSC:  35L65 35L67
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### A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives. (English)Zbl 07515434

MSC:  65Mxx 35Lxx 76Mxx
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### Entropy-based methods for uncertainty quantification of hyperbolic conservation laws. (English)Zbl 07451984

Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 29-56 (2021).
MSC:  65-XX 35-XX
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### Entropy inequalities for fully-discrete E-schemes: a sequel. (English)Zbl 1477.65146

MSC:  65M08 65M12 35L65
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### Renormalized solutions for convection-diffusion problems involving a nonlocal operator. (English)Zbl 1471.35305

MSC:  35R11 35L65 35K59
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### The entropy weak solution to a generalized Fornberg-Whitham equation. (English)Zbl 1487.35189

MSC:  35G25 35D30 35L05
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### Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation. (English)Zbl 1474.76038

MSC:  76M10 35Q35 65H10
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### Renormalized solutions of elliptic equations with variable exponents and general measure data. (English. Russian original)Zbl 1459.35192

Sb. Math. 211, No. 12, 1737-1776 (2020); translation from Mat. Sb. 211, No. 12, 83-122 (2020).
MSC:  35J62 35J25 35A01
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### Anisotropic tempered diffusion equations. (English)Zbl 1447.35169

MSC:  35K15 35K59 35K65
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### Implicit monotone difference methods for scalar conservation laws with source terms. (English)Zbl 1462.65101

MSC:  65M06 65M12
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### Hyperbolic conservation laws with stochastic discontinuous flux functions. (English)Zbl 1462.65123

Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 265-273 (2020).
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### A macroscopic model to reproduce self-organization at bottlenecks. (English)Zbl 1454.65067

Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 243-254 (2020).
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### New effective pressure and existence of global strong solution for compressible Navier-Stokes equations with general viscosity coefficient in one dimension. (English)Zbl 1442.35293

MSC:  35Q30 76N10 35D35
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### Homogenization of Liouville equations beyond a stationary ergodic setting. (English)Zbl 1439.35035

MSC:  35B27 35F10 46E30
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### A theoretical framework for discontinuity capturing: joining variational multiscale analysis and variation entropy theory. (English)Zbl 1441.49016

MSC:  49J40 35L65 65Z05
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### On decay of entropy solutions to multidimensional conservation laws. (English)Zbl 1435.35247

MSC:  35L65 35B40
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### Finite time emergence of a shock wave for scalar conservation laws via Lax-Oleinik formula. (English)Zbl 07550705

MSC:  35B40 35L65 76Y05
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### The entropy solution of a reaction-diffusion equation on an unbounded domain. (English)Zbl 07459031

MSC:  35L65 35K85 35R35
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### Constructive Euler hydrodynamics for one-dimensional attractive particle systems. (English)Zbl 1446.82048

Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. III. Interacting particle systems and random walks, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 300, 43-89 (2019).
MSC:  82C22 60K35 82C44
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### Variation entropy: a continuous local generalization of the TVD property using entropy principles. (English)Zbl 1441.65083

MSC:  65M99 26B30 35L65
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### Existence of a renormalized solution to an anisotropic parabolic problem for an equation with diffuse measure. (English. Russian original)Zbl 1439.35209

Proc. Steklov Inst. Math. 306, 178-195 (2019); translation from Tr. Mat. Inst. Steklova 306, 192-209 (2019).
MSC:  35K20
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### The long time behavior of periodic entropy solutions to degenerate nonlinear parabolic equations. (English. Russian original)Zbl 1427.35144

J. Math. Sci., New York 242, No. 2, 308-322 (2019); translation from Probl. Mat. Anal. 99, 113-125 (2019).
MSC:  35K65 35B40
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### Interaction of $$\delta$$-shock waves in a system of pressureless gas dynamics equations. (English)Zbl 1428.35218

MSC:  35L67 76N15 35L65
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### Convergence of numerical approximations to non-linear continuity equations with rough force fields. (English)Zbl 1437.35475

MSC:  35L65 35A35 65M12
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### Entropy conservative schemes and the receding flow problem. (English)Zbl 1444.76072

MSC:  76M12 76N15
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### Partial boundary value condition for a nonlinear degenerate parabolic equation. (English)Zbl 1433.35187

MSC:  35K65 35B35 35K20
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### $$L^2$$-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws. (English)Zbl 1417.35129

MSC:  35Q35 76L05 35L65
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### On approximation of local conservation laws by nonlocal conservation laws. (English)Zbl 1428.35213

MSC:  35L65 35Q91 90B20
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### The stability of solutions for the Fornberg-Whitham equation in $$L^1(\mathbb{R})$$ space. (English)Zbl 07509598

MSC:  35G25 35L05
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### On the stability of the equation with a partial boundary value condition. (English)Zbl 07509486

MSC:  35L65 35L85 35R35
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### Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations. (English)Zbl 1405.35113

MSC:  35L65 35L50 35L60
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### Hyperbolic conservation laws and $$L^2$$. (English)Zbl 1405.35112

Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 703-720 (2018).
MSC:  35L65 35B35
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### Intrusive methods in uncertainty quantification and their connection to kinetic theory. (English)Zbl 1397.65020

MSC:  65C50 60H35 65M60 35Q53 35L65 82C80 82C40
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### A note on the uniqueness of weak solutions to a class of cross-diffusion systems. (English)Zbl 1396.35027

MSC:  35K51 35A02 35K55
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### Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. (English)Zbl 1403.60051

MSC:  60H15 47H05 47J05
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### Strong precompactness of bounded sequences under nonlinear ultraparabolic differential constraints. (English. Russian original)Zbl 1394.35255

J. Math. Sci., New York 232, No. 4, 516-538 (2018); translation from Probl. Mat. Anal. 93, 101-118 (2018).
MSC:  35K70
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### On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces. (English)Zbl 1410.35082

MSC:  35L65 35L60
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### Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping. (English)Zbl 1394.35275

MSC:  35L65 35L45
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### Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms. (English)Zbl 1422.65259

MSC:  65M60 65L06 35L02
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### Transport-collapse scheme for heterogeneous scalar conservation laws. (English)Zbl 1391.35272

MSC:  35L65 35A35 35L45
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MSC:  35R35
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### The Roe-type interface flux for conservation laws with discontinuous flux function. (English)Zbl 1377.65112

MSC:  65M06 35L65
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### Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. (English)Zbl 1439.65104

MSC:  65M60 65M12
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### Unbounded rough drivers. (English. French summary)Zbl 1391.60150

MSC:  60H15 35R60 60H10
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